Title data
Grüne, Lars ; Sigurani, Manuela:
A Lyapunov based nonlinear smallgain theorem for discontinuous discretetime largescale systems.
Department of Mathematics, University of Bayreuth
Bayreuth
,
2013
.  7 S.


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Project financing: 
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Deutsche Forschungsgemeinschaft 
Abstract
We present a nonlinear Lyapunov function based smallgain theorem for analyzing inputtostate stability of discretetime largescale 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 inputtostate stability in this discontinuous setting, we utilize a recently introduced strong implicationform ISSLyapunov function.