ISS Lyapunov functions

32

AUTOMATICA
2005

94views more AUTOMATICA 2005»

Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems

14 years 10 days ago

We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given ...

Michael Malisoff, Frédéric Mazenc

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42

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AUTOMATICA
2008

146views more AUTOMATICA 2008»

Input-to-state stability and interconnections of discontinuous dynamical systems

14 years 17 days ago

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In this paper we will extend the input-to-state stability (ISS) framework to continuous-time discontinuous dynamical systems (DDS) adopting piecewise smooth ISS Lyapunov functions...

W. P. M. H. Heemels, Siep Weiland

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39

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CDC
2008
IEEE

147views Control Systems» more CDC 2008»

Applications of the general Lyapunov ISS small-gain theorem for networks

14 years 7 months ago

Download www.mathematik.uni-wuerzburg.de

Abstract— In the framework of the ISS Lyapunov formulation a small gain theorem has recently been proved which allows the explicit construction of Lyapunov functions for intercon...

Sergey Dashkovskiy, Björn Rüffer, Fabian...

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