Stabilization of Non-Diagonal Infinite-Dimensional Systems with Delay Boundary Control

Boundary Control of Some Infinite Dimensional Systems

We will consider the feedback stabilization of a class of in£nite dimensional systems by using boundary control, i.e. control inputs are applied at the boundaries of such systems. Such systems usually possess an internal energy, and along their solutions a conservation of energy equation hold. By utilizing this relation, we will prove various stability results. We will also give an example on t...

Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay

Finite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay

In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...

Output Stabilization for Infinite–dimensional Bilinear Systems

Recently, the question of regional stabilization for infinite-dimensional linear systems has been tackled and developed by Zerrik and Ouzahra (2003a). It consists in studying the asymptotic behaviour of a distributed system only within a subregion of its evolution domain . This notion includes the classical one and enables us to analyse the behaviour of a distributed system in any subregion of ...

Robust stabilization of a class of three-dimensional uncertain fractional-order non-autonomous systems

  This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. In this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. The robust controller is designed on the basis of fractional Lyapunov stability theory. Furthermore, the effects of model uncertai...