infinite dimensional linear system
Recovering the observable part of the initial data of an infinite-dimensional linear system with skew-adjoint generator
... of infinite-dimensional linear systems with unitary ...the system is exactly observable, but this assump- tion may be very restrictive in some ...
29
Integral Quadratic Constraints on Linear Infinite-dimensional Systems for Robust Stability Analysis
... ear system subject to an infinite-dimensional uncertainty (Barreau et ...coupled system. This paper focuses on an infinite-dimensional type of uncer- tainties modeled by a ...
8
Stabilization of infinite-dimensional linear control systems by POD reduced-order Riccati feedback
... the infinite-dimensional system ( 1 ), as this was done for instance in [ 5 , 10 , 11 ] (see also [ 37 , page 711] and [ 48 , Chapter ...the system from a finite-dimensional ...
28
Integral and measure-turnpike properties for infinite-dimensional optimal control systems
... extremal system that is smooth, which means in particular that the extremal control is a smooth function of the state and of the adjoint ...extremal system around an equilibrium point, which is itself the ...
29
On Galerkin Method for Homogeneous Infinite-Dimensional Systems
... stable system (see ...of infinite dimensional systems are presented in [ 29 ], [ 27 ...of linear differential operators and nonlinear models of mathematical physics like Saint-Venant, ...
23
Nonnegative control of finite-dimensional linear systems
... In practice, we use IpOpt and AMPL to numerically solve the optimal problems given in Numerical methods 1 to 3, 5 and 6, and to solve the linear programming problem appearing in Numerical method 4, we use the ...
53
Stability of distributed delay system with infinite support
... I. I NTRODUCTION For several years, we have experienced a renewal in the study of the stability and stabilisation of delay systems [20]. Indeed, the study of stability is mainly carried out by using a Lyapunov-Krasovskii ...
7
One dimensional Saint-Venant system
... [4] Ian MacDonald (1994), ”Analysis and Computation of Steady Open Channel Flow using a Singular Perturbation Problem”, Numerical Analysis Report 7/94, Department of Mathematics, Univers[r] ...
47
A Dialectica-Like Interpretation of a Linear MSO on Infinite Words
... classical system in which the prov- able ∀∃-statments do correspond to the realizable instances of Church’s synthesis, because MSO(M) has true but unrealizable ...
69
Boundary maps and maximal representations on infinite dimensional Hermitian symmetric spaces
... isotropic linear subspaces of dimension p in C p + q . In our infinite dimensional setting, we use the same space I p of isotropic linear subspaces of dimension ...this infinite ...
50
Out-of-equilibrium dynamics in infinite one-dimensional self-gravitating systems
... the size of the smaller stru
tures should remain un
hanged. This is what is observed in the analysis of the orrelation fun
tion in se
tion 2.3 where the s
ale x min stays roughly xed during the dynami
al evolution of ...
243
Hilbert and Thompson geometries isometric to infinite-dimensional Banach spaces
... both d R (b, z α ) and d F (b, z α ) do too, since their difference remains bounded. Therefore both ξ R and ξ F are Busemann points. We have shown that ξ T = [ξ R , ξ F , c], with ξ R ∈ B R and ξ F ∈ B F such that ξ R ∼ ...
35
A CLT Plancherel representations of the infinite-dimensional unitary group
... The same limiting object (the collection of correlated GFFs) has been pre- viously shown to be the universal global scaling limit for eigenvalues of various submatrices of Wigner Hermitian random matrices, cf. [2]. We ...
13
Duality in RKHSs with Infinite Dimensional Outputs: Application to Robust Losses
... structured prediction, functional regression, and structured data representation, we propose a general duality framework that enables sparse data regression and robust regression, even when working in vv-RKHSs with ...
23
Water waves as a spatial dynamical system; infinite depth case
... Matthieu Barrandon, G´erard Iooss INLN, UMR CNRS-UNSA 6618 1361 route des Lucioles, 06560 Valbonne, France We review the mathematical results on travelling waves in one or several superposed layers of potential flow, ...
10
The Lojasiewicz gradient inequality in the infinite dimensional Hilbert space framework
... In order to prove (7) it suffices to apply Lemma 5.2 with W = V ′ , F = R(A), N = ker A ⊂ V ⊂ V ′ , n = Πu, f = Au, n + f = Lu. Indeed we have ∀u ∈ V, kuk V ≤ ku − Πuk V + kΠuk V ≤ ρ −1 kA(u − Πu)k V ′ + KkΠuk V ′ by ...
17
Distance estimates for state constrained trajectories of infinite dimensional differential inclusions
... Int K ̸= ∅, we work in the Banach space of the continuous functions. At first the zero- obstacle problem is investigated, namely, we require the positivity of the solutions. Example 3.3 (A one-dimensional heat ...
27
Identification of dielectric relaxations: a suitable infinite-dimensional state-space approach
... [8] L. Ljung, "System Identification, theory for the user", Upper Saddle River, Prentice Hall, New Jersey, 1999. [9] L. Laudebat, P. Bidan, "Quelques résultats d'iden-tification et poursuite sous ...
5
Applications of probability to partial differential equations and infinite dimensional analysis
... We first review the results in finite dimensional spaces, and then examine the infinite dimensional analog under Gaussian measures.. The various techniques developed [r] ...
80
Infinite-dimensional regularization of McKean-Vlasov equation with a Wasserstein diffusion
... measure on P 2 ([0, 1]). Interestingly, the dynamics of (µ t ) t∈[0,T ] are similar to the dynamics of a standard Brownian motion, in the sense that the large deviations in small time are given by the Wasserstein ...
49