Extension of Popov Absolute Stability Criterion to Nonautonomous Systems with Delays
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Extension of Popov absolute stability criterion to nonautonomous systems with delays. Pierre-Alexandre Bliman. N ˚ 3625 F´evrier 1999 ` THEME 4. ISSN 0249-6399. apport de recherche.
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(183) A I | lp] .f ÂiCn t j Y \?¤ iCw jÂj Y iIj Áx¦Llpnh\?C\ jkr<j Y iIj ¦xbµ¤ ¦ S¦hj Y \ n _ _ I 6 2 5x |c~_ IxrxxLID I p M ?> @ >LIM ?> >LIM ?> 4 >DC A ^ ; ; $ n j Y \ulpj Y \ |:Y iCn t ¦xj Y \ ]ipo ) >- _ >LI ; bdrfiCLrslp¶ gqeht jk\ gqvt w lpncjsbdnzehlpeLr ¦ t eh\ jsl . uY iCn t .f -¦W ipn t j Y \iCrrkeL]\ t iCxrklCgdehjk\4w.lcnpjkbqnzehbqjvlI¤:j Y \rslpgqexjsbqlpn± | j jsbd]\C¢ n \ \ ¦ M ?> #INM ?> O bq]ohgqbm\Dr:j iIj d¦ |c~P IxxrxIDp¦ ) ?>LI 6 @ ) ?> O I 6 e Q >J@ > O Q ) [ C ]iIay Q M ?> Q I Q M > O Q Q M ?> J@ M > O Q I ; Y \ | \ [ bdr<j Y \u³3bdrko'w Y bq; js® w.lcnxrkjkiCncj<lI¤ ¦ t \ Unh\ t pv ; . vhoUlCj Y \ rkbqr .f %¢ $ nh\ ]iNv Y \Dnxw.\? | bmjk\ ; ) I 6 ?>LI >C QI 4 ; ; > ; ; ; 2 ) M ?> V ?> C ?>LI 6 >C _ S I I 4 ; ; ; ; > ; +lu¦hbm ¤ M > ¤¨l | ipnpv > z I b {A¦hlpnx\ Y iCr ¦xexrsbdnh . %¦ ) _ ?>LI > ;. ;. ; > ;. e . ;. . 5 > V V > = @FC 0 Q M > Q iM = > #@ > I 9 9 5 w#V M = ?> C 5 = V M ?> V ? > DC ? . EGFJ¡HEJI.
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(185) 9 M V
(186) J@ V
(187) <C -9 7
(188) M V
(189) DC 5 V M V
(190) DC 5E> V V
(191) #@ @ = T C Q
(192) 5 wLV Q ! Q M V
(193) Q = @
(194) x t Y t t | t Y +lu¦[exrkbqnx . vhoUlCj Y \ rkbqr . -¦[j Y \ | \f\ yzbdrkjoLlcrsbqjsbqC\nzex]fU\ | r iCn Yj iIj:j Y \ulpoU\ n xiIgqg§bd5n :bmj Y w \ ncj | \uiCn t | i t bdexr bdr:w.lpncjiIbdnh\ t bqn ¦§ UlCipj n t bqn rkeL\ w YoU\ j n Y iI\Dj nc¦xj+bµ¤ ¤ lp] iCn X ¦§rexw |c> z Ib {iI LM > I A C j Y \ nj Y \?¤¨lpgmgql:bdnh Y lCg t r · ! 9
(195) 9 M
(196) @
(197) <C d 9 7
(198) M
(199) <C 5 M
(200) DC 5E>
(201) @ @C M
(202) Q 5 w Q M
(203) #@
(204) = ! T !
(205) I 4 T
(206) 9 @ q C d 5?> @ q C 7
(207) C 5 = 7
(208) DCF 7
(209) Q 5 w Q ! 7
(210) #@
(211) Y Sexrsbdnhj Y \ub t \ ncjsbqjv M
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