Stability Analysis for Autonomous Dynamical Switched Systems through Nonconventional Lyapunov Functions

The stability of autonomous dynamical switched systems is analyzed by means of multiple Lyapunov functions. The stability theorems given in this paper have finite number of conditions to check. It is shown that linear functions can be used as Lyapunov functions. An example of an exponentially asympt...

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Bibliographic Details
Published in:Mathematical problems in engineering 2015-01, Vol.2015 (2015), p.1-12
Main Authors: Escobedo-Alva, J. O., Gomez-Mancilla, J. C., Meda-Campaña, Jesús Alberto, Nosov, V., Hernández-García, R. G.
Format: Article
Language:English
Subjects:
Asymptotic properties
Autonomous
Dynamical systems
Dynamics
Functions (mathematics)
Liapunov functions
Linear functions
Lyapunov functions
Mathematical analysis
Mathematical problems
Stability
Stability analysis
Systems analysis
Theorems
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Summary:The stability of autonomous dynamical switched systems is analyzed by means of multiple Lyapunov functions. The stability theorems given in this paper have finite number of conditions to check. It is shown that linear functions can be used as Lyapunov functions. An example of an exponentially asymptotically stable switched system formed by four unstable systems is also given.
ISSN:1024-123X
1563-5147
DOI:10.1155/2015/502475