Asymptotic null controllability of bilinear systems

Controllability of two-dimensional bilinear systems

Introduction

On the controllability of bilinear quantum systems

a sufficient condition for null controllability of nonlinear control systems

classical control methods such as pontryagin maximum principle and bang-bang principle and other methods are not usually useful for solving opti-mal control systems (ocs) specially optimal control of nonlinear systems (ocns). in this paper, we introduce a new approach for solving ocns by using some combination of atomic measures. we define a criterion for controllability of lumped nonlinear con...

Partial null controllability of parabolic linear systems

This paper is devoted to the partial null controllability issue of parabolic linear systems with n equations. Given a bounded domain Ω in RN (N ∈ N∗), we study the effect of m localized controls in a nonempty open subset ω only controlling p components of the solution (p,m 6 n). The first main result of this paper is a necessary and sufficient condition when the coupling and control matrices ar...

Null Controllability and Stabilization of Linear Systems

This paper generalizes our recent results on the null controllable regions and the stabilizability of exponentially unstable linear systems subject to symmetric actuator saturation. The description of the null controllable region carries smoothly from the symmetric case to the asymmetric case. As to stabilization, we have to take a quite di erent approach since the development of our earlier re...