This chapter presents recent developments on the stabilization of persistently excited linear
systems. The first section of the chapter deals with finite‐dimensional systems and gives two …

We consider a second order linear evolution equation with a dissipative term multiplied by a
time-dependent coefficient. Our aim is to design the coefficient in such a way that all …

This article treats two problems dealing with control of linear systems in the presence of a
jammer that can sporadically turn off the control signal. The first problem treats the standard …

We consider a family of linear control systems ̇ x= Ax+ α Bu x˙= A x+ α B u on R^ d R d,
where α α belongs to a given class of persistently exciting signals. We seek maximal α α …

This paper considers the stabilization to the origin of a persistently excited linear system by
means of a linear state feedback, where we suppose that the feedback law is not applied …

In this paper we address the exponential stability of a system of transport equations with
intermittent dam** on a network of $ N\geq 2$ circles intersecting at a single point $ O …

The attitude stabilization of a micro-satellite employing a variable-amplitude cold gas
thruster which reflects as a time varying gain on the control input is considered. Existing …

For a class of linear switched systems in continuous time a controllability condition implies
that state feedbacks allow to achieve almost sure stabilization with arbitrary exponential …

The purpose of this paper is to study the behavior of the solutions of two synchronized
chaotic systems when the solutions switch from the first to the second system and vice-versa …

For linear systems in continuous time with random switching, the Lyapunov exponents are
characterized using the Multiplicative Ergodic Theorem for an associated system in discrete …