publication . Conference object . Contribution for newspaper or weekly magazine . 2015

Stability analysis of switched linear systems defined by graphs

Nikolaos Athanasopoulos; Mircea Lazar;
Open Access
  • Published: 12 Feb 2015
  • Publisher: IEEE
Abstract
We present necessary and sufficient conditions for global exponential stability for switched discrete-time linear systems, under arbitrary switching, which is constrained within a set of admissible transitions. The class of systems studied includes the family of systems under arbitrary switching, periodic systems, and systems with minimum and maximum dwell time specifications. To reach the result, we describe the set of rules that define the admissible transitions with a weighted directed graph. This allows to express the system dynamics as a time invariant difference inclusion. In turn, a modified version of the forward reachability set mapping is utilized to a...
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Subjects
free text keywords: Directed graph, Dwell time, Mathematics, System dynamics, Exponential stability, Linear system, LTI system theory, Reachability, Discrete mathematics, Topology, Periodic graph (geometry)
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Contribution for newspaper or weekly magazine . 2015
Repository TU/e
Conference object . 2014
Provider: NARCIS
NARCIS
Conference object . 2014
Provider: NARCIS
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