A Lyapunov based nonlinear small-gain theorem for discontinuous discrete-time large-scale systems

Titelangaben

Grüne, Lars ; Sigurani, Manuela:
A Lyapunov based nonlinear small-gain theorem for discontinuous discrete-time large-scale systems.
In: MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen , 2014 . - S. 1031-1037
ISBN 978-90-367-6321-9

Volltext

Link zum Volltext (externe URL):

Weitere URLs

Angaben zu Projekten

Abstract

We present a nonlinear Lyapunov function based small-gain theorem for analyzing input-to-state stability of discrete-time large-scale systems. Motivated by the fact that many feedback control laws lead to discontinuous closed loop systems, we pose no continuity assumptions on the system dynamics. For characterizing input-to-state stability in this discontinuous setting, we utilize a recently introduced strong implication-form ISS-Lyapunov function.