This chapter proposes some non-trivial extensions of the classical high-gain observer
designs for finite-dimensional nonlinear systems to some classes of infinite-dimensional …

For a coupled system of wave equations with locally distributed controls, we prove that the
exactly synchronizable state is independent of applied controls and then can be uniquely …

We show that a Kalman rank condition is necessary and sufficient for the uniqueness of
solution to a system of wave equations associated with incomplete internal observation …

Based on the uniqueness of solution to a coupled system of wave equations associated with
incomplete internal observations, we establish the approximate internal synchronization by …

This paper deals with the problem of internal controllability of a system of heat equations
posed on a bounded domain with Dirichlet boundary conditions and perturbed with analytic …

The general goal of this work is to obtain upper and lower bounds for the $ L^ 2$-norm of
biorthogonal families to complex exponential functions associated to sequences …

We consider an× n nonlinear reaction-diffusion system posed on a smooth bounded domain
Ω of ℝ N. This system models reversible chemical reactions. We act on the system through m …

We study the null controllability of linear shadow models for reaction-diffusion systems
arising as singular limits when the diffusivity of some of the components is very high. This …

We consider the controllability of a class of systems of n Stokes equations, coupled through
terms of order zero and controlled by m distributed controls. Our main result states that such …

Sufficiency of Kalman's rank condition for the approximate boundary controllability on a
spherical domain Page 1 Received: 15 January 2021 Revised: 6 June 2021 Accepted: 11 June …