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AUTOMATICA
2005
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13 years 7 months ago
Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems
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
AUTOMATICA
2008
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13 years 7 months ago
Input-to-state stability and interconnections of discontinuous dynamical systems
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
CDC
2008
IEEE
147views Control Systems» more  CDC 2008»
14 years 2 months ago
Applications of the general Lyapunov ISS small-gain theorem for networks
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...