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Stability Analysis for Autonomous Dynamical Switched Systems through Nonconventional Lyapunov Functions

Author

Listed:
  • V. Nosov
  • J. A. Meda-Campaña
  • J. C. Gomez-Mancilla
  • J. O. Escobedo-Alva
  • R. G. Hernández-García

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.

Suggested Citation

  • V. Nosov & J. A. Meda-Campaña & J. C. Gomez-Mancilla & J. O. Escobedo-Alva & R. G. Hernández-García, 2015. "Stability Analysis for Autonomous Dynamical Switched Systems through Nonconventional Lyapunov Functions," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-12, October.
    • Handle: RePEc:hin:jnlmpe:502475
    DOI: 10.1155/2015/502475
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