Input-to-state dynamical stability of interconnected systems

Input-to-state dynamical stability of interconnected systems

We consider networks of input-to-state dynamically stable (ISDS) systems and provide a small gain condition under which the entire network is again ISDS. A Lyapunov formulation of the nonlinear small gain theorem for two interconnected ISDS systems is proved. It provides a constructive method to fin...

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Bibliographische Detailangaben
Hauptverfasser: Dashkovskiy, S.N., Naujok, L.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Fading
Interconnected systems
Lyapunov method
Nonlinear systems
Stability analysis
Time measurement
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Beschreibung
Zusammenfassung:We consider networks of input-to-state dynamically stable (ISDS) systems and provide a small gain condition under which the entire network is again ISDS. A Lyapunov formulation of the nonlinear small gain theorem for two interconnected ISDS systems is proved. It provides a constructive method to find an ISDS Lyapunov function for such an interconnection.
ISSN:0191-2216
DOI:10.1109/CDC.2009.5400827