Stability Analysis for Autonomous Dynamical Switched Systems through Nonconventional Lyapunov Functions

V. Nosov, J. A. Meda-Campaña, J. C. Gomez-Mancilla, J. O. Escobedo-Alva and R. G. Hernández-García

Mathematical Problems in Engineering, 2015, vol. 2015, 1-12

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:502475

DOI: 10.1155/2015/502475

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