BIBO stabilization of piecewise switched linear systems with delays and nonlinear perturbations

摘要

This paper deals with BIBO stabilization of piecewise switched linear systems in presence of delays and nonlinear perturbations. Based on piecewise quadratic Lyapunov functional, the main contribution of the paper is the derivation of sufficient conditions of BIBO stabilization in the form of algebraic Riccati matrix equation. The robust quadratic stability for such system is also discussed. A numerical example is given to illustrate the effectiveness of the theoretical results.