Finite-time boundedness of piecewise affine systems

Abstract

This paper deals with the finite-time boundedness of an important class of hybrid systems, namely piecewise affine (PWA) systems. The main results in this article are sufficient conditions for finite-time boundedness and finite-time stabilization of PWA systems. Our approach uses a Lyapunov-like function and the S-procedure to obtain these conditions which are formulated in terms of LMIs. A numerical example illustrates the effectiveness of the proposed approach.