• Aucun résultat trouvé

Fast in-flight detection of flutter onset -A statistical approach

N/A
N/A
Protected

Academic year: 2021

Partager "Fast in-flight detection of flutter onset -A statistical approach"

Copied!
28
0
0

Texte intégral

(1)

HAL Id: inria-00071596

https://hal.inria.fr/inria-00071596

Submitted on 23 May 2006

HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub-

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non,

Fast in-flight detection of flutter onset -A statistical approach

Laurent Mevel, Michèle Basseville, Albert Benveniste

To cite this version:

Laurent Mevel, Michèle Basseville, Albert Benveniste. Fast in-flight detection of flutter onset -A statistical approach. [Research Report] RR-4982, INRIA. 2003. �inria-00071596�

(2)

ISRN INRIA/RR--4982--FR+ENG

a p p o r t

d e r e c h e r c h e

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

Fast in-flight detection of flutter onset - A statistical approach

Laurent Mevel, Michèle Basseville, Albert Benveniste

N˚4982

Octobre 2003

THÈME 4

(3)
(4)

& '()*+-,$,!..

/1032.465879:;5=<>58?A@CBD:;EGFIH.JK?G5MLN0PO6OQ58<RES?G?S5UTVBXW?SY5K4(9LN5K7)<P5K7.EGOQ9V5KZ

['\]V^`_bac d3ef^g)hjiKklenmUo+_VkmUp)klef^qenr(iKklenmUo

s _rltPrk]V^`_IruImU^qp)hn_6v>_Ir

wyxmKz{_VkNd3ef|C^}iC~

iKp)p.mUxlk

s

_€x_Iu\_Vxu(\_o$‚a„ƒC…C~†cˆ‡NuVkmU‰)x_$~CŠCŠC‹$cŒ~Ka}pRiK|_Ir

MŽI’‘8“)”C• ['\_–g)klk_Vx$^`mUo)efkmUxlefo)|—p)xmU‰)hn_V^˜enrefo3™_Irlklef|„iKk_ s›š xmU^œi s _Vk_IuVklenmUožŸiKo s

omUk'p)x_ s enuVklenmUo ¡p.mUefo„km š ™3en_V¢b£iKo s rlk(iKk_ s iUrirlk(iKklenrklenu’iKhX\3t3p.mUkl\_Ir_Ir-k_Irklefo)|p)xmU‰)hn_V^

x_V|„iKx s efo)|qibrpX_IuVe¥¤R_ sMs iK^qp)efo)|uImP_6¦}uVen_Vo„k’§[¢¨m$–g)klk_Vx'mUor_Vk s _Vk_IuVklenmUo©iKhf|mUxlefkl\)^`r-iKx_

s _Ir(uVxlef‰X_ s §Nª'mUkl\+k_IrlkrN‰)g)efhs mUo«i}x_Irles gRiKhyiUrrmPuVejiKk_ s ¢-efkl\«iKo«mUg)klp)g)k{¬­mUo)hft+rlg)‰rpRiUuI_6¬

‰RiUr(_ s rlklxlguVklg)x(iKhes _Vo3kle¥¤Ru’iKklenmUo^`_Vkl\m s £Np)x_V™3enmUgrlhftžefo3klxm s guI_ s ‰„t%kl\_®iKg)kl\mUxr šmUx

rklxlguVklg)x(iKh\_’iKhfkl\%^`mUo)efkmUxlefo)|§¯['\_¤xrlk°k_Irlk’£±¢¡mUxl²3efo)|³‰RiKku(\´¢-enr_C£±\RiKo s hn_Ir†i;o3g)hfh

iKo s i›uVhnmCr_—iKhfk_VxloRiKklef™_rlk(iKklenrlklenu’iKh\3t3p.mUkl\_Ir_IrMmUoµkl\_ s iK^qp)efo)|§ž¶­k`uImU^`_Ir}g)p š xmU^

™CiKxlejiKklenmUorNmUoiqhnmPu’iKhiUrlt3^qp)kmUklenuiKp)p)xmIv>ef^}iKklenmUo š mUx±kl\_x_Irles gRiKh·£XuImU^‰)efo_ s ¢-efkl\+kl\_

|_Vo_Vx(iKhfef¸’_ s hfef²_Vhfef\m3m s x(iKklenm¹·º€»DN ±k_Irlk’§$['\_qr_IuImUo s k_Irlk’£.¢¡mUxl²3efo)|†mUo>¬·hfefo_C£enr‰RiUr(_ s

mUo¼omUoµhnm3u’iKh±\„tPpXmUkl\_Ir_Ir=§¼¶½kq‰)g)efhs r}mUo¾i s e¥¿À_Vx_Vo„kÁiKp)p)xmIv>ef^}iKklenmUo šmUx`kl\_©x_Ires gRiKh·£

uImU^$‰)efo_ s ¢-efkl\©kl\_uVg)^g)hjiKklef™_$rlg)^½Ã€ÄDÅ8ÄÇÆ 1k_Irlkm š uImU^q^`mUo†gr(_efo†È3gRiKhfefk­tÁuImUo„klxmUh·§

Ég)^`_Vxlenu’iKh>x_Irlg)hfkr"mU‰)k(iKefo_

s

mUo$x_’iKh

s

iKk(i€iKx_

s

enruVgr(r_

s

£U¢-\)enu\qrlg)|C|_Irlk"rmU^`_¨efo„k_Vx_Irlklefo)|

p)xmUp._Vxlklen_Ir±m š kl\_mUo>¬·hfefo_bk_Irk’§

ʆËÌ.ÍÎ$Ï

‘8ЏC•

d3g)‰rlpRiUuI_6¬·‰RiUr_

s es

_Vo3kle¥¤Ru’iKklenmUoiKhf|mUxlefkl\)^`r’£u\RiKo)|_

s

_Vk_IuVklenmUoÑiKhf|mK¬

xlefkl\)^`r=£Prk(iKklenrlklenu’iKh\3t3p.mUkl\_Ir_Ir¡k_Irlklefo)|£>mUo>¬·hfefo_ s _Vk_IuVklenmUoD£P–g)klk_Vx¨^`mUo)efkmUxlefo)|£ s iK^qp)efo)|

uImP_6¦}uVen_Vo„k’§

Ò¥ÓԽշ֒×Ô¨ØÙfշڟÛIÜ

Ý.ÞKßáàâ.ãQä·å1ÞUæ(àçCèéè{ê'ëlæäŸä·ßìè{í¡ã6î=ïRâDßðï·Þ8ßìê'ï·Þ8è.ñòä­æ(ó-èéâ.ã(ä·å¨ã(ñ„ôRî=ä·è{å6æÇõ8ä·ãöAè{ëéïêKã÷(ø8ù{ú1ûÀüVýÿþ 6ÞIï

èéàAïÇæQà8ë{ãIãQä­í=ßìêKæ(ï·èlíç’ã6õCè{ó-èlæRèáßßÿæ(ë{ã6î8çìæ "!8ä­æQê8ë{è$#

%'&)(

ý*+-,

&).(

ý/+1032465 7 869:<;=8$> 8 ?A@B67CBED64F;HGE7#

I

&)(

ý*+-,J .(

*K03="BELMC8 ?$8F;N4DEDA8A>CB$?E?$8$@B67CBED64F;HGE7#

O

&)(

ý*+-,

&).(

ý/+10QP?SR8$7E:<;N 869> 869"BED6: 8E@ B67CBEDA4T;HGE7#

Unité de recherche INRIA Rennes

IRISA, Campus universitaire de Beaulieu, 35042 RENNES Cedex (France) Téléphone : 02 99 84 71 00 - International : +33 2 99 84 71 00

(5)

Ñ ,$,!X. )'X)N

 • »_—p)xmU‰)hn]V^`_ seforlk(iK‰)efhfefk›iVxm s t3oRiK^qenÈ3g_ s _Ir°i’™3enmUor’£±uImUo)o„g´rmUgr°hn_

omU^ s _$–g)klk_Vx’£D_IrlkiK‰.mUx s r(mUgrg)o¹iKo)|Chn_ s _ s Vk_IuVklenmUoD£D_Vk€omUo«pRiUr s _$p)x s enuVklenmUoD£Ç_Vk

p.mCrNuImU^q^`_€g)oÁp)xmU‰)hn]V^`_ s _k_Irk s\3t3p.mUkl\]Ir_Irrlk(iKklenrklenȄg_Ir'uImUouI_VxloRiKo„k±g)oÁuImP_6¦}uVen_Vo„k

siK^`mUxlklenr(r_V^`_Vo„k’§«‡o s IuVxlefk s _Vg>v;iKhf|mUxlefkl\)^`_Ir s _ s Vk_IuVklenmUo s _MuI_`p)\VomU^`]Vo_C§¡_Ir

s _Vg>v;k_Irlkrx_VpXmCr_Vo3kqrlg)x$hn_°xIrles g iUrrmPuVe —hji—^!Vkl\m s _ ses _Vo3kle¥¤Ru’iKklenmUo¼rmUgr{¬­_IrpRiUuI_

È3g_†omUgr°iI™mUor°efo„klxm s g)efk s iKor}hn_+uImUo„k_6v>k_ s _—hji¹rlg)xl™_VefhfhjiKouI_ sefo„kV|Cxlefk s _—rklxlgu6¬

klg)x_Ir'^!Iu’iKo)enÈ3g_Ir’§y»_p)x_V^qen_Vx-k_Irk’£PÈ3g)e.klx(iI™CiKefhfhn_rlg)x s _Ir¡‰)hnm3uIr s _ s mUo)oI_Ir’£>p._Vxl^`_Vk s _

u(\mUenrlefxy_Vo„klx_ s _Vg>v\3t3p.mUkl\]Ir_Irp)xmPu\_Ir’§"¶½h>x_VpXmCr_-rg)xg)o_'™UiKxlejiKklenmUo s _'hiKp)p)xm’vPef^}iKklenmUo

iUrt3^qp)kmUklenÈ3g_hnm3u’iKhn_ s gxIrles g›uImU^‰)efoI_!Mg)o«k_Irlkº»D§X»D_ s _Vg>vPen]V^`_k_Irk’£XÈ3g)eklx(i8¬

™CiKefhfhn_°_Vo>¬·hfef|Co_C£"pX_Vxl^`_Vk

s

_Mu(\mUenrlefx_Vo„klx_

s

_Vg>v®\„tPp.mUkl\]Ir_IromUo hnmPu’iKhn_Ir’§—¶½h1x_Vp.mCr_°rlg)x

g)o_°iKg)klx_MiKp)p)xm’vPef^}iKklenmUo s g®xIres g;uImU^‰)efoI_ÁiKg®k_IrkM½Ã€ÄDÅ8ÄÇÆ  sgr(iK|_MuImUg)x(iKo„k_Vo

uImUo3klx"Uhn_ s _$ȄgRiKhfefkC§$#€_IrxIrg)hfk(iKkr±o3g)^!VxlenȄg_Ir€mU‰)k_Vo„gr€rlg)x s mUo)oI_Ir±xI_Vhfhn_IrNrlg)|C|]Vx_Vo„k

s _Irp)xmUp)xleVkIrefo„kVx_Ir(r(iKo„k_Ir s g s _Vg>v>en]V^`_k_Irlk’§

%#Ï ’ Í ”'& • ( hf|mUxlefkl\)^`_Ir ses _Vo„kle¥¤Ru’iKklenmUo rmUgr{¬­_IrlpRiUuI_C£DiKhf|mUxlefkl\)^`_Ir s _ s Vk_IuVklenmUo s _

u(\RiKo)|_V^`_Vo„k’£Xk_Irlkr s\„tPpXmUkl\]Ir_IrNrlk(iKklenrlklenÈ3g_Ir’£ s Vk_IuVklenmUo«_Vo>¬·hfef|Co_C£Xrlg)xl™_VefhfhjiKouI_ s _–g)k{¬

k_Vx’£RuIm3_6¦}uVen_Vo3k siK^`mUxlklenrr_V^`_Vo3k’§

(6)

* +

R!. $

['\_ s _V™_VhnmUp)^`_Vo3k°m š o_V¢ iKefxuVx(i š krqx_IȄg)efx_Ir°i«u’iKx_ šg)h_6v>p)hnmUx(iKklenmUo¾m š kl\_ s tPoRiK^qenu’iKh

‰._V\RiI™PenmUxMm

š

kl\_+rlklxlguVklg)x_—rlg)‰>zl_IuVk`km®™3ef‰)x(iKklenmUožiKo

s

iU_VxmK¬­r_Vxl™mK¬­_VhjiUrlklenu

š

mUxuI_Ir’§ž['\)enr

enr+iUu\)en_V™_ s ™Peji i³uImU^‰)efoRiKklenmUo m š |CxmUg)o s ™3ef‰)x(iKklenmUok_Irlkr—iKo s efo>¬Ÿ–ef|C\3k—k_Irlkr’§-,RmUx

‰.mUkl\k­tPpX_Ir€m š k_Irlkr’£X™CiKxlenmUgr€r_VormUxr s iKk(i°iKx_$x_IuImUx s _ s £DiKo s ^`m s iKhyiKoRiKhft>r_IrNiKx_p._Vx{¬

š

mUxl^`_

s

§y¶½^qpXmUxlk(iKo3k±u\RiKhfhn_Vo)|_Irm

š

kl\_€efo>¬Ÿ–ef|C\3k^`m

s

iKhÇiKoRiKhftPr(_IriKx_€kl\_hfef^qefk_

s

u\mUenuI_Ir

šmUx€^`_’iUrlg)x_ s _6v)uVefk(iKklenmUo›efo)p)g)kr’£iKo s kl\_p)x_Ir_VouI_qm š g)o)^`_’iUrlg)x_ s oRiKklg)x(iKh1_6v)uVefk(iKklenmUo

efo)p)g)kqSklg)xl‰)g)hn_VouI_= 6§ ( ‰._Vklk_VxN_6v>p)hnmUefk(iKklenmUo›m š –ef|C\„k€k_Irlk s iKk(iMu’iKo‰X_iUu\)en_V™_ s ‰„t—gr{¬

efo)|©mUg)klp)g)k{¬­mUo)hft›rlt>rlk_V^ es _Vo„kle¥¤Ru’iKklenmUo®^`_Vkl\m s r’£À¢-\)enu(\¹_6vPp)hnmUefkr s iKk(i}x_IuImUx s _ s g)o s _Vx

oRiKklg)x(iKhÇ_6v>uVefk(iKklenmUo—uImUo s efklenmUorA_C§|§f£>klg)xl‰)g)hn_Vo„kQ 6£¢-efkl\mUg)kx_IrmUxlklefo)|}km}iKxlkle¥¤RuVejiKhuImUo„klxmUh

rg)x šiUuI__6v)uVefk(iKklenmUoiKo s mUkl\_Vxk½t3p._Irm š _6v>uVefk(iKklenmUo+efo)p)g)kr/.10)£~Ka32­§

( uVxlguVejiKhyenrrg_enr€km©_Vorlg)x_kl\RiKkbkl\_o_V¢-hft s _Irlef|Co_ s iKefxlp)hjiKo_qenrrlk(iK‰)hn_kl\)xmUg)|C\>¬

mUg)k€efkrmUp._Vx(iKklefo)|Áx(iKo)|_C§ ( uVxlefklenu’iKhefork(iK‰)efhfefk­tp)\_VomU^`_VomUoD£À²3om=¢-o›g)o s _Vxkl\_oRiK^`_

m š54'"3678&9$%&';:< >=37?=3;@A)B$ C!3=D3'6E7FG '"HC3 I"!B'6C3J3 K3L@&:M78&:

KN O'&P!3'";;B Q'$%$';@R5SK'"T3$%;G3 U$ )RE7FB7A7H3 VA%W"! V'6;$7XA

A N'$%C$Y'637!3A7X$Y'3Z.8[T\T2­§],mUx¨p)x_V™_Vo„klefo)| šxmU^Ñkl\)enr1p)\_VomU^`_VomUoD£Pkl\_NiKefxlp)hjiKo_±enr¨rlg)‰>¬

^qefklk_ s km«i—–ef|C\„k–g)klk_Vxqk_Irlklefo)|p)xm3uI_ s g)x_C£1¢-efkl\ efouVx_V^`_Vo3k(iKhfhft;efouVx_’iUrefo)|›iKhfklefklg s _

iKo s iKefxrlp._I_ s §['\_±p)xmU‰)hn_V^ m š p)x_ s enuVklefo)|kl\_±rlp._I_ s iKk¨¢-\)enu\°–g)klk_Vx¡u’iKo°m3uIuVg)x¡enr¨grlg>¬

iKhfhft©i s)s

x_Irr_

s

¢-efkl\†kl\_iKe s m š es

_Vo„kle¥¤Ru’iKklenmUo«^`_Vkl\m

s

r±iUu\)en_V™Pefo)|}^`m

s

iKhÇiKoRiKhft>rlenr

š

xmU^

kl\_`efo>¬Ÿ–ef|C\„k s iKk(iÁx_IuImUx s _ s®s g)xlefo)|+kl\_Ir_qk_Irlkr^.8[T\P£…>£~C…>£~CŠ2­§M['\)x_I_ s e¥¿À_Vx_Vo„khn_V™_Vhnr

iKx_ s enrlklefo)|Cg)enrl\_ s efo_.á~C…2­§"['\_-hn_V™_Vh`[NiKp)p)xmiUu\D£P‰RiUrlenu’iKhfhft\RiKo s hfefo)|mUo_ s _V|Cx_I_m š.šx_I_6¬

s

mU^†£„uImUg)o„kr¸’_VxmuVxmCrrefo)|r1iKo

s

uImU^qp)g)k_IrhnmU|

s

_IuVx_V^`_Vo„k

s

iK^qp)efo)|mUo`u\RiKxlkrx_IuImUx

s

efo)|

ef^qp)g)hnr(_ s _Iu’iIt>r’£iKo s u’iKp)klg)x_IrmUo)hft¹i†refo)|Chn_ s mU^qefoRiKo„k^`m s _C§©['\_`hn_V™_Vh'~—iKp)p)xmiUu\

gr(_Ir^g)hfklefp)hn_ s _V|Cx_I_Ir1m šXšx_I_ s mU^Ñ^`_Vkl\m s r šmUxy_Irlklef^}iKklefo)|$|ChnmU‰RiKh^`m s iKh_Irlklef^}iKk_Irš x_6¬

È3g_VouVen_IriKo sÁs iK^qp)efo)|quIm3_6¦}uVen_Vo3krQ 6£RiKo s enr¡o_IuI_Irr(iKxlt`¢-\_Vo©kl\_^`m s _€m š efo3k_Vx_Irlk s mP_Ir

omUk s mU^qefoRiKk_Nkl\_x_Irlp.mUor_C§"['\_±hn_V™_VhÀ‹iKp)p)xmiUu(\©_Irlklef^}iKk_Ir¡iU_Vxm s tPoRiK^qenu±pRiKx(iK^`_Vk_Vxr

iKo s iMrlk(iK‰)efhfefk­t†‰.mUg)o s iKxlt£ šmUxNkl\_$p)g)xlpXmCr_m š –g)klk_Vx€rlk(iK‰)efhfefk­t+p)x_ s enuVklenmUoI.8[’Š£‹%[£X~Cƒ2­§

['\_€x(iKklenmUoRiKhn_$m

š

kl\_N¤xrlk-k½¢¨m°iKp)p)xmiUu\_Irenr'kl\RiKkkl\_

s

iK^qp)efo)|}uImP_6¦}uVen_Vo„k±x_6–R_IuVkrkl\_

x(iKk_Mm š efouVx_’iUr_°mUx s _IuVx_’iUr_Mefo;_Vo_Vxl|Ct›efo;kl\_°iU_VxmK¬­r_Vxl™mK¬­_VhjiUrklenu°rtPrlk_V^†£"iKo s kl\3grenr

ix_Vhn_V™CiKo„kM^`_’iUrlg)x_†m š rlk(iK‰)efhfefk­t§¾['\_Vx_ š mUx_C£¡¢-\)efhn_ šx_IÈ3g_VouVen_Ir}iKo s ^`m s _Irl\RiKpX_IrMiKx_

grgRiKhfhft}kl\_€^`mCrlk'ef^qp.mUxlk(iKo„kpRiKx(iK^`_Vk_Vxr-efo†rklxlguVklg)x(iKhiKoRiKhftPrlenr=£3kl\_€^`mCrk'uVxlefklenu’iKhÇmUo_Ir

efo`–g)klk_Vx¨iKoRiKhftPrenr¨iKx_-kl\_ s iK^qp)efo)| šiUuVkmUxr=£ šmUxyrmU^`_uVxlefklenu’iKhR^`m s _Ir’§"['\_-^`m s _Irl\RiKp._Ir

iKx_€grgRiKhfhft°omUk_Irlklef^}iKk_ sÁšmUx'–g)klk_Vxk_Irlklefo)|_.á~C…2­§

a±o3klefh-kl\_©hjiKk_Áo)efo_Vklen_Ir’£¨^`mCrlk}iKp)p)xmiUu\_Ir}km–g)klk_Vx}uVhn_’iKx(iKouI_©\RiI™_†hn_ s kmbHR3

E6^`_Vkl\m s r’£Rp)xm3uI_Irrefo)| s e¥¿À_Vx_Vo„kNk­tPpX_IrNm šys iKk(i_.á~CŠ32­§WciKo3t†^`_Vkl\m s r\RiKo s hn_$klef^`_6¬

s

mU^}iKefomUx

š

x_IȄg_VouVt3¬

s

mU^}iKefo

š

g)ouVklenmUor’£R‰RiUr_

s

mUo†x_IrpXmUor_Ir±kmqef^qp)g)hnr_$_6v>uVefk(iKklenmUo«mUx

(7)

iKkl^`mCrp)\_VxlenuMklg)xl‰)g)hn_VouI_Q.á‹H\P£[T\P£[Va£[C0>£"‹C‹D2­§ ( uImU^qpRiKxlenrmUo mUo s iKk(i šxmU^Âkl\_N,Ǭ [’…

dP ( £Uefo3™mUhf™3efo)|$^`m s _Vxlo}klef^`_±iKo x_IȄg_VouVt s mU^}iKefo}rlg)‰rpRiUuI_-es _Vo„kle¥¤Ru’iKklenmUo°^`_Vkl\m s r=£

enr"x_Vp.mUxlk_ s efo .8[Va2­§±_IuI_Vo3k¨iKklk_V^qp)kr1iKk¨iKg)kmU^}iKklefo)|es _Vo„kle¥¤Ru’iKklenmUo©iKo s uVhjiUrrle¥¤Ru’iKklenmUo}m š

iU_VxmK¬­_VhjiUrklenu}iKo

s

iU_VxmK¬­r_Vxl™mK¬­_VhjiUrlklenu

s

t3oRiK^qenuIr\Ri’™_‰X_I_Vo›‰RiUr(_

s

mUo›^g)hfklenru’iKhn_}¢¡iI™_Vhn_Vk

p)xmPuI_Irrlefo)| .áƒ32­§

( 3LGEA 6bHHR3"E636 3 K L C7X"E636¹^`_Vkl\m s \RiUr°‰X_I_Vo¾efo„klxm s guI_ s x_IuI_Vo3klhft

g)o

s

_Vx$kl\_`oRiK^`_Mm

š

–g)klk_VxmU^`_Vk_Vx .á~%[£~C~>£[’ƒD2­§Áª'iUr(_

s

mUo iKo;iU_VxmK¬­_VhjiUrklenuMrlk(iKk_6¬­rpRiUuI_

^`m s _VhXiKo s mUo šx_IȄg_VouVt3¬ s mU^}iKefoÁklx(iKor š_Vx š g)ouVklenmUor¨_6v>klx(iUuVk_ s`šxmU^¯r(_VormUx s iKk(ig)o s _Vx

uImUo3klxmUhfhn_ s _6v)uVefk(iKklenmUoD£€kl\_–g)klk_VxmU^`_Vk_Vx—uImU^qp)g)k_Ir—mUo>¬·hfefo_®i;xmU‰)grlkÁ–g)klk_Vx—^}iKxl|Cefo

grefo)|›kl\_ .¬·^`_Vkl\m s š

mUx}iKoRiKhft3¸Iefo)|›kl\_Á¢¡mUxrlk}u’iUr_©_6¿À_IuVkrqm

š

^`m

s

_Vh-g)ouI_Vxlk(iKefo3k­t§µ¶½o

x_IuI_Vo3kuImU^qpRiKx(iKklef™__V™UiKhfgRiKklenmUorgrlefo)|}ref^g)hjiKk_ s iKo s x_’iKh s iKk(i .8[[„£R~CŠD2­£r_V™_Vx(iKh s iKk(i8¬

‰RiUr(_ s ^`_Vkl\m s r`iKx_©rl\m=¢-oµkm šiKefh¡efo¼iUuIuVg)x(iKk_Vhft p)x_ s enuVklefo)|¹–g)klk_Vxq¢-\_Vo grefo)| s iKk(i

š

xmU^ hnm’¢%rlp._I_

s

k_Irlkr’£¢-\_Vx_’iUr1kl\_'–g)klk_VxmU^`_Vk_Vx¡klg)xlorymUg)kyomUkykmbuImUo3™_Vxl|_kmkl\_klxlg_

–g)klk_VxrlpX_I_ s©s g)xlefo)|M_Vo„™_VhnmUp.__6v>pRiKorlenmUoD£ s g_kmefo)\_Vx_Vo3kuImUor_Vxl™CiKklef™_bp)x_ s enuVklenmUor’§

( hf|mUxlefkl\)^`r€iUu\)en_V™Pefo)|Mkl\_N3 >7?A _6v>p)hnmUefk(iKklenmUo+m š –ef|C\„kk_Irlk s iKk(iMiKx__6vP¬

p._IuVk_ s kmÁiKhfhnm=¢Ñi`^`mUx_ s efx_IuVk_6vPp)hnmUx(iKklenmUo¹m š kl\_$–ef|C\3k s mU^}iKefoD£.¢-efkl\«ef^qp)xm=™_ s uImUo>¬

¤ s _VouI_MiKo s x_ s guI_ s uImCrlkr’§ ( ^`mUo)|—mUkl\_Vxbu\RiKhfhn_Vo)|_Ir=£ÇmUo_qef^qp.mUxlk(iKo„k$enrrlg_km©‰._qi s ¬

s x_Ir(r_ s mUo>¬·hfefo_+enr`kl\_Á–ef|C\3k}–g)klk_VxM^`mUo)efkmUxlefo)|;p)xmU‰)hn_V^†£rk(iKk_ s iUr`kl\_†p)xmU‰)hn_V^ m š

^`mUo)efkmUxlefo)|ÁrmU^`_$rlpX_IuVe¥¤Ru s iK^qp)efo)|°uImP_6¦}uVen_Vo„kr’§N‡o—kl\_mUkl\_Vx\RiKo s £Refk±enr²Pom’¢-oD£X_C§

šxmU^ ¨x(iK^`_Vx{¬­iUm©‰.mUg)o s r .8[D2­£Àkl\RiKk s iK^qp)efo)| šiUuVkmUxrbiKx_ s e¥¦}uVg)hfkbkm©_Irklef^}iKk_`iUuIuVg>¬

x(iKk_Vhft§#,RmUx¨ef^qp)xm=™3efo)|kl\_N_Irlklef^}iKklenmUo°m šs iK^qp)efo)| š iUuVkmUxr’£>iKo s ^`mUx_Im=™_Vx šmUx¡iUu(\)en_V™3efo)|

kl\)enr`efo x_’iKh¥¬·klef^`_ s g)xlefo)|›–ef|C\3k`k_Irlkr’£¨mUo_©pXmCr(rlef‰)hn_†iKhfkl\mUg)|C\µg)o_6v>pX_IuVk_ s xmUg)k_†enrqkm

x_Ir(mUxlk1km s _Vk_IuVklenmUo©iKhf|mUxlefkl\)^`r-iK‰)hn_km s _IuVes _¢-\_Vkl\_Vx¨rmU^`_ s iK^qp)efo)| š iUuVkmUx s _IuVx_’iUr_Ir

‰._Vhnm’¢#rmU^`_uVxlefklenu’iKhǙUiKhfg_$mUxomUk’§'['\_bx(iKklenmUoRiKhn_$enrkl\RiKk s _Vk_IuVklenmUo«iKhf|mUxlefkl\)^`rNgrlgRiKhfhft

\Ri’™_i^$gu\+r\mUxlk_Vx-x_IrlpXmUor(_klef^`_€kl\RiKo†es _Vo„kle¥¤Ru’iKklenmUo›iKhf|mUxlefkl\)^`r’§

['\_—p)g)xlp.mCr_—m š kl\)enrMpRiKp._Vx}enrMkm s _IruVxlef‰._iKo s iKoRiKhft3¸’_+k­¢¡m;rk(iKklenrlklenu’iKhk_Irkr šmUx

^`mUo)efkmUxlefo)|—i s iK^qp)efo)| š iUuVkmUx’§ª'mUkl\k_IrkrbiKx_$‰RiUr(_ s mUo›i '6;&3$%7.iUrr(m3uVejiKk_ s ¢-efkl\®i

rg)‰rlpRiUuI_6¬·‰RiUr_ s mUg)klp)g)k{¬­mUo)hftMuIm=™UiKxlejiKouI_6¬ s xlef™_Vo—rklxlguVklg)x(iKhXes _Vo3kle¥¤Ru’iKklenmUo†^`_Vkl\m s §['\_

x_Ires gRiKhNenrÁes _’iKhfhft¾¸’_Vxm³g)o s _Vx©kl\_\„tPpXmUkl\_Irlenr©m š uImUorlk(iKo„k©^`m s iKh€pRiKx(iK^`_Vk_Vxr;So3g)hfh

\3t3p.mUkl\_IrlenrQ 6£yiKo s rlef|Co)e¥¤Ru’iKo3klhft s e¥¿À_Vx_Vo„k šxmU^ ¸’_Vxm+efo;kl\_Mp)x_Ir_VouI_Ám š i s _V™PejiKklenmUo³efo

i+rlp._IuVe¥¤Ru s iK^qp)efo)|›uImP_6¦}uVen_Vo„k—ŸiKhfk_VxloRiKklef™_Á\3t3p.mUkl\_IrlenrQ 6§«['\_M¤xrlkk_Irlk’£u’iKhfhn_ s 7C 37ò£

\RiKo s hn_IriÁo„g)hfh'iKo s iKo;iKhfk_VxloRiKklef™_°rlk(iKklenrlklenu’iKh1\„tPpXmUkl\_Ir_Ir$mUo¹kl\_ s iK^qp)efo)|+¢-\)enu\³iKx_

uVhnmCr(_C£¨iKo s uImU^`_Irqg)p šxmU^ ™CiKxlejiKklenmUor`mUo¼ihnmPu’iKh±iUrlt3^qp)kmUklenu+iKp)p)xmIv>ef^}iKklenmUo š mUxkl\_

x_Ire

s

gRiKh·£¡uImU^$‰)efo_

s

¢-efkl\¾kl\_©|_Vo_Vx(iKhfef¸’_

s

hfef²_Vhfef\m3m

s

x(iKklenm¼·º»DN k_Irk’§¾['\_†r(_IuImUo

s

k_Irkb\RiKo s hn_IrG 3 78C7D\„tPpXmUkl\_Ir(_Ir’£iKo s ‰)g)efhs r$mUo;i s e¥¿._Vx_Vo3kiKp)p)xm’vPef^}iKklenmUo šmUxkl\_

x_Ires gRiKhuImU^‰)efo_ s ¢-efkl\†kl\_buVg)^g)hjiKklef™_$rlg)^œ½Ã€ÄÅ=ÄÇÆ ¨k_Irlk’§

(8)

['\_`pRiKp._VxbenrmUxl|„iKo)ef¸’_ s iUr š mUhfhnm’¢r’§†dP_IuVklenmUo³~©rlg)^q^}iKxlef¸’_Ir$kl\_`^}iKefo®hfefo_Ir$m š kl\_

rg)‰rlpRiUuI_6¬·‰RiUr_ s ^`mUo)efkmUxlefo)|°x_Irles gRiKhDefo3™_Irlklef|„iKk_ s efo†_’iKxlhfen_VxpRiKpX_Vxrm š kl\_$iKg)kl\mUxr’§1¶½o

r(_IuVklenmUo´‹>£kl\_—¤xrkMk_Irlk

š

mUx}–g)klk_VxÁ^`mUo)efkmUxlefo)|£N¢¨mUxl²Pefo)|³‰RiKku\´¢-enr_«iKo

s

‰RiUr_

s

mUo

hnmPu’iKh-\„tPp.mUkl\_Ir_Ir’£yenr`efo„klxm s guI_ s §µ['\_©r_IuImUo s k_Irlk’£¨‰RiUr_ s mUo omUo hnmPu’iKh-\„tPpXmUkl\_Ir_Ir=£

iKo s pX_Vx šmUxl^qefo)|®mUo>¬·hfefo_©–g)klk_VxM^`mUo)efkmUxlefo)|£'enr s _IruVxlef‰._ s efoµr_IuVklenmUo¾a§¾dP_IuVklenmUo ›enr

s

_V™mUk_

s

kmef^qp)hn_V^`_Vo3k(iKklenmUo¼enrrlg_IrqiKo

s

_6v>pX_Vxlef^`_Vo3k(iKhx_Irlg)hfkrmU‰)k(iKefo_

s

mUo³x_’iKh

s

iKk(i>§

dPmU^`_uImUouVhfgrlenmUoriKx_ s x(i’¢-o†efo—r_IuVklenmUo 0>§

,ÇÇ R $*Á Ç- {!X

¹_1¤xrlk"x_Iu’iKhfh>kl\_¡^}iKefo_IÈ3gRiKklenmUoryiKo s pRiKx(iK^`_Vk_Vxrym š kl\_¡^`m s _Vhnr¢¡_¨gr(_C£iKo s ¢¡_¡x_Iu’iKhfh

kl\_±^}iKefo}hfefo_Ir¨m š kl\_rlg)‰rlpRiUuI_6¬·‰RiUr_ s uIm’™CiKxlejiKouI_6¬s xlef™_VoÁes _Vo„kle¥¤Ru’iKklenmUo†iKo s ^`mUo)efkmUxlefo)|

iKhf|mUxlefkl\)^`r±¢¨_i s ™mPu’iKk_ šmUx’§

!#"$%&'#("$)*

['\_rlklxlguVklg)x_ r‰._V\RiI™PenmUxenr±iUrrg)^`_ s kmq‰X_ s _Ir(uVxlef‰X_ s ‰3tÁirk(iKklenmUoRiKxlt°hfefo_’iKxrltPrk_V^,+

- ./103246587:9/;032<465>=?/10324@BA60324DC<EF032<4@HGI/;032<4 "[= 

¢-\_Vx_J2 s _VomUk_Ir€uImUo„klefo3gmUgrklef^`_C£K-LCD7MC<= iKx_bkl\_$^}iUrr’£ s iK^qp)efo)|†iKo s rlkle¥¿.o_Irr±^}i8¬

klxlenuI_Ir1x_Irlp._IuVklef™_Vhft£XS\)ef|C\ s ef^`_VorenmUoRiKhG ™_IuVkmUxN/#uImUhfhn_IuVkr¨kl\_ s enrlp)hjiUuI_V^`_Vo3kr¨mUx'iUuIuI_Vhn_Vx{¬

iKklenmUorm

š

kl\_

s

_V|Cx_I_Irm

šš

x_I_

s

mU^ m š

kl\_rlklxlguVklg)x_$Okl\_b_6v>k_VxloRiKh¨SomUo+^`_’iUrlg)x_

s   š

mUxuI_

A®enr$^`m s _Vhn_ s iUri†omUo>¬­rlk(iKklenmUoRiKxlt®¢-\)efk_MomUenr_M¢-efkl\;klef^`_6¬·™CiKxltPefo)|uIm=™UiKxlejiKouI_°^}iKklxle¥v

PRQ 032<46£^`_’iUrg)x_V^`_Vo„kr-iKx_±uImUhfhn_IuVk_ s efo}kl\_Am šk_VoD£„hnm=¢ s ef^`_VorlenmUoRiKhG y™_IuVkmUxNE°£3iKo s ^}i8¬

klxle¥vFG efo s enu’iKk_Ir±¢-\)enu\—uImU^qp.mUo_Vo„krm š kl\_brlk(iKk_€™_IuVkmUx±iKx_biUuVklgRiKhfhftÁ^`_’iUrlg)x_ s S¢-\_Vx_

kl\_r_Vor(mUxr€iKx_hnmPu’iKk_ s  6§b['\_^`m s _IrmUx_Vef|_Vo>¬šx_IȄg_VouVen_Ir s _VomUk_ s |_Vo_Vxlenu’iKhfhft‰„t

iKo s kl\_€^`m s _Irl\RiKp._IrmUx±_Vef|_Vo3™_IuVkmUxr s _VomUk_ s |_Vo_Vxlenu’iKhfhftÁ‰„tFGISMT£iKx_brmUhfg)klenmUor±m š +

UV%WYX

0 6Z[-\5 ]7^5>=_4`@ a

0

Z

-b5 ]7c58=?4dSeT @ a

Ÿ~ 

d>iK^qp)hfefo)|M^`m s _Vh1"[= iKk-x(iKk_gfihkj©tPen_Vhs r-kl\_ s enruVx_Vk_klef^`_b^`m s _VhDefo†rk(iKk_brlpRiUuI_ š mUxl^,+

Umlgnporq

@ s

lgn

58t nYorq

E n @ u

lgn

Ÿ‹ 

(9)

¢-\_Vx_

lgn

@

/;0 j4

9

/;0 j4

C<E

n @ E 0 j4DC<u @ 0G a&4DC<s @ C @

a

-

q =

- q 7

£biKo s rlk(iKk_®omUenr_ t nYorq

enrV$ >LG6$Y'6C£qºiKgrrlejiKoD£b¸’_VxmK¬

^`_’iKoD£¢-\)efk_C£)¢-efkl\—uIm’™CiKxlejiKouI_b^}iKklxle¥v+

P

nYorq

@ 0t

nYorq

t nYorq

4@

nYorq

n

! #"

P 0$ 4

&%& ('

$&C

¢-\_Vx_) 0+*4 s _VomUk_Irkl\__6v>pX_IuVk(iKklenmUomUpX_Vx(iKkmUxiKo s +

"

P 0$ 4@,

a a

a - q

PRQ

0$ 4 -

d3k(iKk_

l

iKo s mU‰r(_Vxl™_ s mUg)klp)g)kE´\RiI™_ s ef^`_VorlenmUor.-0/ iKo s21 x_IrlpX_IuVklef™_Vhft£„¢-efkl\ 1 Am šk_Vo

^$gu\ rl^}iKhfhn_Vxkl\RiKo3-0/ efo†p)x(iUuVklenuI_C§

»D_VkJ0546C7698 4¡‰X_€kl\__Vef|_VorklxlguVklg)x_m š kl\_brlk(iKk_klx(iKorlefklenmUo—^}iKklxle¥vFs}£>oRiK^`_Vhft(+

V%WYX

0 s

4: 4@ a C 0 s

4: 4;6<8J@ a Sa3 

['\_N^`m s iKh.pRiKx(iK^`_Vk_Vxr s _6¤o_ s efo¹Ÿ~ 'iKx_N_IÈ3g)ef™CiKhn_Vo„klhft šmUg)o sMšxmU^ kl\_€_Vef|_VorlklxlguVklg)x_

0546C7=>8 4 refo®Sa3 'grlefo)|%+

T

@46C GSMT @?6<8

@ u@=>8

['\_ šx_IÈ3g_VouVt:A¹iKo ss iK^qp)efo)|°uImP_6¦}uVen_Vo„kCB†iKx_x_IuIm=™_Vx_ s+šxmU^ iq|Cef™_Vo+_Vef|_Vo3™UiKhfg_D4

kl\)xmUg)|C\6+

A @?E hF-FGj CHB @fYa$aJIKFIh L E Z 5MK

Z C ¢-\_Vx_E @INFO7P

X

NRQCSR054K4hFTR054(4UIpCCK @?VWQ)IX4YI` 

Zef|_Vo„™_IuVkmUxrÁiKx_Áx_’iKh-eš p)xmUp.mUxlklenmUoRiKh s iK^qp)efo)|¹enr`iUrrg)^`_ s £1kl\RiKkqenr 7 @\[ - 5

] = §¡['\_^4

riKo

s

698

rNiKx_bpRiKefxl¢-enr_$uImU^qp)hn_6v—uImUoUzég)|„iKk_C§I¹_iUrrlg)^`_kl\RiKkkl\_brlt>rlk_V^

\RiUrbom©^g)hfklefp)hn_°_Vef|_Vo„™CiKhfg_Ir’§}¶½o;i s)s efklenmUoD£ a©enrB KHyiKo®_Vef|_Vo„™CiKhfg_Mm š rlk(iKk_qklx(iKorefklenmUo

^}iKklxle¥v s`§ ['\_›uImUhfhn_IuVklenmUom š ^`m s _Ir_0546C7698 4 šmUxl^ i u’iKomUo)enu’iKhbpRiKx(iK^`_Vk_Vxlef¸=iKklenmUo`_

oRiK^`_Vhft›i°pRiKx(iK^`_Vk_Vxlef¸=iKklenmUo®efo3™UiKxlejiKo3kb¢b§x’§k’§u\RiKo)|_Irefo›kl\_qrlk(iKk_‰RiUrlenra_—m

š

kl\_(S)378

S)3'¨m š kl\_MrtPrlk_V^œefo%Ÿ‹ 6£"x_ š_Vxlx_ s km«iUrkl\_Mrlt>rlk_V^œ_Vef|_VorlklxlguVklg)x_C§ÉNmUk_}kl\RiKk$kl\_

rtPrlk_V^_Vef|_VorlklxlguVklg)x_«u’iKo%_IÈ3gRiKhfhft ‰X_ š mUg)o s¼šxmU^kl\_ (  pRiKxlkÁm š i›^$g)hfklef™UiKxlejiK‰)hn_

(  c ( ^`m s _Vh>_IȄg)ef™CiKhn_Vo„kkm$Ÿ‹ 6£K‰)g)kÇkl\RiKkÇkl\_ ( ;™_IuVkmUxÇpRiKx(iK^`_Vk_VxriKx_9 Ku’iKomUo)enu’iKh·§

,xmU^ om’¢mUoD£kl\_buImUhfhn_IuVklenmUo+m š ^`m s _Irenr±iKhnrmquImUorles _Vx_ s iUrkl\_brlt>rlk_V^ pRiKx(iK^`_Vk_Vxab%+

b

@c d

e W Pgf

&0 

(10)

¶½o;&0 6£

d

enrkl\_b™_IuVkmUxN¢-\mCr_$_Vhn_V^`_Vo„kr€iKx_bkl\__Vef|_Vo3™UiKhfg_Ir 4£<f´enrkl\_b^}iKklxle¥v†¢-\mCr(_

uImUhfg)^qorMiKx_Ákl\_ 698 r=£¨iKo s e W

PÁenrkl\_©uImUhfg)^qo¼rlk(iUu(²3efo)|¹mUp._Vx(iKkmUx’§ wiKx(iK^`_Vk_Vx b«\RiUr

ref¸’_g01 5 fi4/¹§

* *k*k#("$ " L*I*k cr"$ (" )

['\_²_Vtrlk_Vpr1m š kl\_-mUg)klp)g)k{¬­mUo)hft`uIm=™UiKxlejiKouI_6¬s xlef™_VoÁrlg)‰rlpRiUuI_rklxlguVklg)x(iKhes _Vo„kle¥¤Ru’iKklenmUo

^`_Vkl\m s iKx_‰)xlen_6–tÁx_Iu’iKhfhn_ s £XiKo s iqu\RiKx(iUuVk_Vxlef¸=iKklenmUo›m š kl\_^`m s iKhDpRiKx(iK^`_Vk_Vx±efo;&0 'enr

_6v>\)ef‰)efk_ s £ š xmU^ ¢-\)enu\—kl\_p)xmUpXmCr(_ s x_Irles gRiKhDenr s _6¤o_ s §

»D_Vk

@DE n E

n

iKo s +

orq

@ !

" q §§§ q

q Z §§§

§§§ §§§ §§§ §§§

orq

§§

§#

o$

q

%'&

&&&&&

(

@*)aNRQ,+[0- 4 R\C 

‰._$kl\_mUg)klp)g)kbuIm=™UiKxlejiKouI_`iKo s/. iKo)²_Vh"^}iKklxlenuI_Ir’£Àx_Irlp._IuVklef™_Vhft§b¶½o„klxm s guVefo)|©kl\_uVxmCr(r{¬

uIm=™UiKxlejiKouI_—‰X_Vk½¢¨_I_Vo%kl\_†rlk(iKk_—iKo

s

kl\_—mU‰r_Vxl™_

s

mUg)klp)g)kri+/0

@c lgn

E n £ s

efx_IuVk

uImU^qp)g)k(iKklenmUorm š kl\_1 r šxmU^˜kl\_`_IÈ3gRiKklenmUor°Ÿ‹ Nhn_’i s km#+2 @ u s

0`£ÇiKo s km†kl\_

¢¡_VhfhD²Pom’¢-o .á‹CŠ2

š

iUuVkmUxlef¸=iKklenmUo6+

orq

@3

orq

0u C<sJ454

0 sdC60 4 Ÿ… 

¢-\_Vx_$+

3 orq

0u C<sJ4

@ ! uu s

§§§u s

%'&

&&&

(

iKo s 4 0 sdC60 4

@00 s0879797 s q 0 4 Ÿƒ 

iKx_Nkl\_mU‰r_Vxl™CiK‰)efhfefk­t©iKo s uImUo„klxmUhfhjiK‰)efhfefk½tÁ^}iKklxlenuI_Ir’£)x_Irlp._IuVklef™_Vhft§y['\_€mU‰r_Vxl™CiKklenmUo©^}i8¬

klxle¥v u enr'kl\_Vo šmUg)o s efoÁkl\_¤xrlk'‰)hnmPu²3¬·xm’¢m š kl\_mU‰r(_Vxl™UiK‰)efhfefk½tM^}iKklxle¥v:3°§['\_Nrk(iKk_6¬

klx(iKorefklenmUo†^}iKklxle¥v,s enrmU‰)k(iKefo_ s©š xmU^ kl\_brl\)ešk-efo„™CiKxlejiKouI_bp)xmUp._Vxlk­t©m š 3°£>oRiK^`_Vhft(+

32; 0u C<sJ4@<3 0 u C<sJ4 sdC ¢-\_Vx_=32; 0u C<sJ4 5

@ ! u s

u sRZ

§§§

u s

%'&

&&&

(

(11)

( rrlg)^qefo)| O7NRQ,+(03 4 @ V

8s`£DiKo s kl\„grkl\RiKk€kl\_o„g)^$‰X_Vxbm š ‰)hnm3u(²„¬·xm=¢refo/

orq

enr

hjiKxl|__VomUg)|C\D£Penry^}iKo s iKkmUxlt šmUx1x_IuIm=™_Vxlefo)| s}§['\__Vef|_VorlklxlguVklg)x_ 054C76<8 4kl\_VoMx_Irg)hfkr

šxmU^Sa3 6§

,RiUuVkmUxlef¸=iKklenmUoѝŸ… qenrMkl\_†²_Vt šmUx°i;u\RiKx(iUuVk_Vxlef¸=iKklenmUo m š kl\_+u’iKomUo)enu’iKhNpRiKx(iK^`_Vk_Vx

™_IuVkmUx b+efož&0 6£iKo s®šmUx s _Vxlef™3efo)|kl\_Mp)xmUpXmCr(iKh¡x_Irles gRiKh·§ ¨\m3mCrefo)|+kl\_°_Vef|_Vo„™_IuVkmUxr

m š

^}iKklxle¥v]s iUri†‰RiUrlenr

š

mUxkl\_Mrlk(iKk_}rpRiUuI_}m

š

^`m

s

_VhNŸ‹ €tPen_Vh

s

r$kl\_

š

mUhfhnm’¢-efo)| LBTH37

x_Vp)x_Ir(_Vo„k(iKklenmUo+m š kl\_bmU‰r_Vxl™CiK‰)efhfefk­tÁ^}iKklxle¥v+

3 orq

0b 4@

! f f

§§§

f

%'&

&&&

(

"[’Š 

¢-\_Vx_

5

@ V NK0

d

46£ÇiKo s d

iKo s fiKx_qiUrNefoµ&0 6§[%\_Vkl\_Vxi}omU^qefoRiKh"pRiKx(iK^`_Vk_Vx)b "

enrefo;iK|Cx_I_V^`_Vo„k¢-efkl\;i†|Cef™_Vo;mUg)klp)g)kuIm’™CiKxlejiKouI_Mr_IÈ3g_VouI_ 0- k4 `enr$u\RiKx(iUuVk_Vxlef¸’_ s ‰„t

.á‹>£‹KaH2+

3 orq

0 b " 4-iKo s orq

\RiI™_kl\_brQiK^`_€hn_ šk²_Vxlo_VhÇrlpRiUuI_ "[[= 

['\_$hn_ šk±²_Vxlo_Vh"rlpRiUuI_$m š ^}iKklxle¥v - enr±kl\_$²_Vxlo_VhrlpRiUuI_m š ^}iKklxle¥v -

§±['\_$p)xmUp._Vxlk­t

"[[= -u’iKo†‰X_u(\_Iu²_ s iUr š mUhfhnm’¢r’§ ,xmU^ kl\_omU^qefoRiKhYb "U£)uImU^qp)g)k_3 orq

0b "i4¨grlefo)|"[’Š 6£

iKo s pX_Vx šmUxl^ _C§|§1i`d ##m š 3 orq

0b " 4 š mUx±_6vPklx(iUuVklefo)|°i^}iKklxle¥v rlgu\—kl\RiKk +

@ iKo

s 3

orq

0b " 4@Ha

c«iKklxle¥v enr¨omUk¨g)o)enÈ3g_qSk­¢¨mrlgu(\M^}iKklxlenuI_IriKx_x_VhjiKk_ s kl\)xmUg)|C\©ip.mCrlk{¬·^g)hfklefp)hfenu’iKklenmUo

¢-efkl\ iKo mUxlkl\mUomUxl^}iKh-^}iKklxle¥v 6£"‰)g)kqu’iKo ‰X_Mx_V|„iKx s _ s iUri šg)ouVklenmUo m š b " §«['\_Vo kl\_

u(\RiKx(iUuVk_Vxlef¸=iKklenmUo+¢-xlefk_Iri+

0b " 4: orq

@Ha "[’~ 

( rrg)^`_om’¢#kl\RiKk5N'A!C'6 K )b "N3 K N L S 78ME

q

CU*U*U*iC<E 3'@3=D3A7YE78 ,RmUx

u(\_Iu²Pefo)|b¢-\_Vkl\_Vxykl\_ s iKk(iiK|Cx_I_'¢-efkl\Db "U£Ckl\_'es _’iNenr"kmuImU^qp)g)k_'kl\_-_V^qp)efxlenu’iKh . iKo)²_Vh

^}iKklxle¥v

orq +

orq

@ )CNRQ +

C

@ fih

nrq E n E

n

"[’‹ 

iKo s km s _6¤o_kl\_x_Irles gRiKhD™_IuVkmUx +

0b " 4

@ e W P

0b " 4

orq

"[Va3 

(12)

»_Vk)b©‰._kl\_}iUuVklgRiKhypRiKx(iK^`_Vk_Vx™CiKhfg_ šmUxkl\_`rlt>rlk_V^ ¢-\)enu\;|_Vo_Vx(iKk_ s kl\_qo_V¢ s iKk(i

rQiK^qp)hn_C£"iKo s ‰X_}kl\_}_6v>pX_IuVk(iKklenmUo;¢-\_Vo;kl\_°iUuVklgRiKh¨rlt>rlk_V^˜pRiKx(iK^`_Vk_Vxenr)bR§N,xmU^

"[’~ 6£¢¨_²Pom’¢ kl\RiKk +

0

(0b " 44@Ha e¥¿ bJ@ b "

¶½o}mUkl\_Vx¨¢¨mUx s r’£ (0b " 4"\RiUry¸’_Vxm^`_’iKo}¢-\_VoMomu\RiKo)|_NmPuIuVg)xryefo b£PiKo s omUo)¸’_Vxm$^`_’iKo

eš iu\RiKo)|_$m3uIuVg)xr=§['\„gr 0b " 4¡p)hji’tPrkl\_xmUhn_bm š ix_Irles gRiKh·§

d6&Z D"$* " 6 !^e!)N"$6&

[Ç_Irlklefo)|}eš bJ@`b "€\mUhs rklxlg__ÁmUx±_IȄg)ef™CiKhn_Vo„klhft s _IuVes efo)|Mkl\RiKk±kl\_x_Ires gRiKh °enrM;83 >!;

&3 K7?J s e¥¿À_Vx_Vo„k šxmU^¸’_Vxm _x_IÈ3g)efx_Irbkl\_}²3om=¢-hn_ s |_Mm š kl\_}p)xmU‰RiK‰)efhfefk­t s enrlklxlef‰)g)klenmUo

m š K0 b "i46§ a±o š mUxlklg)oRiKk_Vhft³kl\)enr s enrlklxlef‰)g)klenmUo¾enr`|_Vo_Vx(iKhfhft g)o)²Pom’¢-oD§ ‡o_©^}iKo)o_Vx°km

uVefxuVg)^$™_Vo„kNkl\)enr

s

e¥¦}uVg)hfk­t©enrkm`iUrrlg)^`_buVhnmCr_€\3t3p.mUkl\_Ir_Ir +

 6!  "DbJ@ b " iKo s  LBT6= 

q b @ b "5gb h "[ 

¢-\_Vx_}™_IuVkmUxgb†enrg)o)²3om=¢-oD£"‰)g)kb¤)v)_ s §ÁÉmUk_}kl\RiKk š mUxbhjiKxl|_ y£Ç\„tPpXmUkl\_Irenr

q

uImUx{¬

x_IrpXmUo s rkmU;L 37A7 s _V™3ejiKklenmUorefo bR§°['\)enr$enrbkl\_°rlk(iKklenrlklenu’iKh¨hnm3u’iKh'iKp)p)xmiUu\ .á‹0)£Ç~>£[2­§

#€_6¤o_kl\_€^`_’iKo s _V™3ejiKklenmUo6+

0 b " 4

@

fih h bD

(0b 4 I

"[C0 

iKo s kl\_`x_Irles gRiKh¡uIm’™CiKxlejiKouI_}^}iKklxle¥v[0 b " 4

@ V "! 0

46§Á['\_VoD£p)xm=™3es _ s

kl\RiKkR0 b " 4enr€p.mCrlefklef™_ s _6¤o)efk_C£ÇiKo mUxiKhfh#gb¹SefouVhfg s efo)|$gb,@ a„ 6£Dkl\_x_Irles gRiKh efo

"[Va3 'enr±iUrltP^qp)kmUklenu’iKhfhft†ºbiKgrrlejiKo

s

enrlklxlef‰)g)k_

s

.á‹D2D¢-\_Vo+iUrrlg)^qefo)| b`iUrefo;"[  +

(0b " 4

%'&

% ( 0 0 b "i4)gb#C*R0b " 44 "[T\C 

¢-\_Vx_+( 0 C, 4rlk(iKo s r šmUxkl\_©ºiKgrrlejiKožSomUxl^}iKhG  s enrlklxlef‰)g)klenmUo³¢-efkl\;^`_’iKo;™_IuVkmUx

iKo s uIm=™UiKxlejiKouI_©^}iKklxle¥v-€§›['\„grMi s _V™PejiKklenmUo- b/.@ a+efo³kl\_Árlt>rlk_V^ pRiKx(iK^`_Vk_VxDbenr

x_6–R_IuVk_ s efo3km©iMu(\RiKo)|_efo«kl\_$^`_’iKo«™CiKhfg_m š x_Irles gRiKh §ÉNmUk_kl\RiKkN^}iKklxlenuI_Ir+ 0b "i4

iKo s [0b "Y4 s _VpX_Vo s mUo}o_Vefkl\_Vx †omUx¡kl\_ s _V™PejiKklenmUo0gb§"['\_Vt`u’iKo}‰._±_Irklef^}iKk_ s p)xlenmUx¡km

k_Irklefo)|£3grefo)| s iKk(imUo°kl\_r(i š_NrltPrk_V^†£’z{grlk¡iUr¡kl\_Nx_ š_Vx_VouI_ab "C§¡mUorlenrlk_Vo„k-_Irlklef^}iKk_Ir

m š —£)‰RiUr_ s mUo+i s iKk(i`r(iK^qp)hn_C£RiKx_€|Cef™_Vo—efoV.á‹32­£iKo s†s m K s _Vp._Vo s mUo©kl\_pRiKxlklenuVg)hjiKx

omUxl^}iKhfef¸=iKklenmUom š kl\_1_Vef|_Vo3™_IuVkmUxr =Y8)§['\_1_Irklef^}iKklenmUo$m š «enrÇrmU^`_V¢-\RiKkÇklxlenu(²3tB.ዠ)£8‹02­§

»D_Vk iKo s ‰._uImUorlenrk_Vo„k'_Irlklef^}iKk_Ir'm š 0b " 4yiKo s [0b " 46£>iKo s iUrrg)^`_kl\RiKk 0b "i4

enr

š

§ðuC§x’§['\_VoD£

s

_IuVe

s

efo)|¢-\_Vkl\_Vx¨x_Ire

s

gRiKh

enr ;83 >13 7XJ

s

e¥¿À_Vx_Vo„k

š

xmU^¯¸’_Vxm)£3rk(iKk_

s

Références

Documents relatifs

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST