Stability of switched linear systems on non-uniform time domains

Stability of switched linear systems on non-uniform time domains

A recent development in Lyapunov stability theory allows for analysis of switched linear systems evolving on nonuniform, discrete time domains. The analysis makes use of an emerging mathematical framework termed dynamic equations on time scales. We will present stability conditions for a general, ar...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Davis, John M, Gravagne, Ian A, Marks, Robert J, Miller, John E, Ramos, Alice A
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Difference equations
Differential equations
Educational institutions
Linear systems
Lyapunov method
Mathematics
Stability
Switched systems
Systems engineering and theory
Time domain analysis
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A recent development in Lyapunov stability theory allows for analysis of switched linear systems evolving on nonuniform, discrete time domains. The analysis makes use of an emerging mathematical framework termed dynamic equations on time scales. We will present stability conditions for a general, arbitrarily switched system and then for system with a ¿constrained¿ switching signal. The results take the form of a compute-able inequality, which imposes conditions on the time domain itself.
ISSN:0094-2898
2161-8135
DOI:10.1109/SSST.2010.5442855