Conference Proceedings

A Lyapunov-based small-gain theorem for hybrid ISS systems

D Nesic, AR Teel

47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008) | IEEE | Published : 2008

Abstract

A Lyapunov-based small-gain theorem is presented for hybrid systems modelled using a recently proposed framework [9]. Lyapunov small-gain theorems for continuoustime and discrete-time systems are special cases of our result. Several examples including networked control systems and reset systems are presented to illustrate our main result. Our results are general and they apply to a range of other situations. © 2008 IEEE.