Uniform null-controllability for the one-dimensional heat equation with rapidly oscillating periodic density
Uniform stability of displacement coupled second-order equations.
Uniform stabilization and exact control of multilayered piezoelectric body.
Uniform stabilization and exact controllability for hyperbolic systems with discontinuous coefficients.
Unique continuation principle for systems of parabolic equations
In this paper we prove a unique continuation result for a cascade system of parabolic equations, in which the solution of the first equation is (partially) used as a forcing term for the second equation. As a consequence we prove the existence of ε-insensitizing controls for some parabolic equations when the control region and the observability region do not intersect.
Unique continuation property near a corner and its fluid-structure controllability consequences
We study a non standard unique continuation property for the biharmonic spectral problem in a 2D corner with homogeneous Dirichlet boundary conditions and a supplementary third order boundary condition on one side of the corner. We prove that if the corner has an angle , and , a unique continuation property holds. Approximate controllability of a 2-D linear fluid-structure problem follows from this property, with a control acting on the elastic side of a corner in a domain containing a Stokes...
Unique continuation property near a corner and its fluid-structure controllability consequences
We study a non standard unique continuation property for the biharmonic spectral problem in a 2D corner with homogeneous Dirichlet boundary conditions and a supplementary third order boundary condition on one side of the corner. We prove that if the corner has an angle , and , a unique continuation property holds. Approximate controllability of a 2-D linear fluid-structure problem follows from this property, with a control acting on the elastic side of a corner in a domain containing...
Uniqueness conditions for optimal time solutions in nonlinear control systems
Uniqueness of optimal trajectories for non-linear control systems
Uniqueness results for stokes equations and their consequences in linear and nonlinear control problems
Uniqueness results for Stokes equations and their consequences in linear and nonlinear control problems
The goal of this article is the study of the approximate controllability for two approximations of Navier Stokes equations with distributed controls. The method of proof combines a suitable linearization of the system with a fixed point argument. We then are led to study the approximate controllability of linear Stokes systems with potentials. We study both the case where there is no constraint on the control and the case where we search a control having one null component. In both cases,...
Variational approach to some optimization control problems
This paper presents the variational approach to some optimization problems: Mayer's problem with or without constraints on the final point, local controllability of a trajectory, time-optimal problems.
Weighting patterns and the controllability and observability of time-variable 2D continuous-discrete linear systems.
Well-posed linear systems - a survey with emphasis on conservative systems
We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space....
Window observers for linear systems.
Вариационная задача оптимизации измерений в алгоритмах идентификации и управления
Волновые базисы в многомерных обратных задачах
Граничное управление и канонические реализации двухскоростной динамической системы
О редукции гладкой линейной по управлению системы
Об оптимальности траектории разрывной системы управления на участке скольжения.