We consider the observability problem for non-autonomous evolution systems (i.e., the operators governing the system depend on time). We introduce an averaged Hautus condition and prove that for skew-adjoint operators it characterizes exact observability. Next, we extend this to more general class of operators under a growth condition on the associated evolution family. We give an application to the Schrödinger equation with time dependent potential and the damped wave equation with a time dependent damping coefficient.Systèmes interconnectés de dimension infinie pour les milieux hétérogène
International audienceWe discuss the observability of a one-dimensional Schrödinger equation on cert...
Abstract. We analyze admissibility and exactness of observation operators arising in control theory ...
We give the definitions of exact and approximate controllability for linear and nonlinear Schrödinge...
We consider the observability problem for non-autonomous evolution systems (i.e., the operators gove...
This thesis is devoted to the controllability and observability of nonautonomous evolution equation....
Cette thèse est consacrée à la contrôlabilité et à l’observabilité de l’équation d’évolution non aut...
We analyze the problem of averaged observability and control of wave equations.This topic is motivat...
Abstract We consider the problem of averaged controllability for parameter depending (either in a di...
The author has previously pointed out the specific property of exact controllability that linear dyn...
International audienceWe consider the problem of averaged controllability for parameter depending (e...
We analyze the problem of controlling parameter-dependent systems. We introduce the notion of averag...
We introduce a general formalism for linear evolution equations with skew adjoint operators. We make...
We prove averaging theorems for non-autonomous ordinary differential equations and retarded function...
We derive estimates on the magnitude of non-adiabatic interaction between a Hamiltonian partial diff...
The Hautus test of Russelll and Weiss is sufficient for approximately observability when the system ...
International audienceWe discuss the observability of a one-dimensional Schrödinger equation on cert...
Abstract. We analyze admissibility and exactness of observation operators arising in control theory ...
We give the definitions of exact and approximate controllability for linear and nonlinear Schrödinge...
We consider the observability problem for non-autonomous evolution systems (i.e., the operators gove...
This thesis is devoted to the controllability and observability of nonautonomous evolution equation....
Cette thèse est consacrée à la contrôlabilité et à l’observabilité de l’équation d’évolution non aut...
We analyze the problem of averaged observability and control of wave equations.This topic is motivat...
Abstract We consider the problem of averaged controllability for parameter depending (either in a di...
The author has previously pointed out the specific property of exact controllability that linear dyn...
International audienceWe consider the problem of averaged controllability for parameter depending (e...
We analyze the problem of controlling parameter-dependent systems. We introduce the notion of averag...
We introduce a general formalism for linear evolution equations with skew adjoint operators. We make...
We prove averaging theorems for non-autonomous ordinary differential equations and retarded function...
We derive estimates on the magnitude of non-adiabatic interaction between a Hamiltonian partial diff...
The Hautus test of Russelll and Weiss is sufficient for approximately observability when the system ...
International audienceWe discuss the observability of a one-dimensional Schrödinger equation on cert...
Abstract. We analyze admissibility and exactness of observation operators arising in control theory ...
We give the definitions of exact and approximate controllability for linear and nonlinear Schrödinge...