Stability of networks of hybrid ISS systems

Interconnection of several hybrid input-to-state stable (ISS) systems is considered in this paper. We ask under what condition is such an interconnection stable and how an ISS-Lyapunov function can be constructed for the whole interconnection. Small-gain condition to assure stability is given. A con...

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Hauptverfasser: Dashkovskiy, S., Kosmykov, M.
Format: Tagungsbericht
Sprache:eng
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Zusammenfassung:Interconnection of several hybrid input-to-state stable (ISS) systems is considered in this paper. We ask under what condition is such an interconnection stable and how an ISS-Lyapunov function can be constructed for the whole interconnection. Small-gain condition to assure stability is given. A construction of an ISS-Lyapunov function for the whole system is provided under the small-gain condition.
ISSN:0191-2216
DOI:10.1109/CDC.2009.5400628