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Study of a class of hybrid-time systems

Author

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  • Cervantes, I.
  • Femat, R.
  • Leyva-Ramos, J.

Abstract

The aim of this paper is to study the dynamic behavior of a class of hybrid-time systems. In particular, we concern about switched systems constituted by two linear second order systems with a time varying (sinusoidal type) translation term. By means of numerical simulations, system behavior and its relation to system parameters are studied. It is shown that system eigenvalues play a crucial role in the time evolution of the system leading either to regular behavior, oscillatory patterns or intermittent erratic-periodic behavior. Furthermore, it is shown that under certain conditions, presumable fractal structures can be obtained.

Suggested Citation

  • Cervantes, I. & Femat, R. & Leyva-Ramos, J., 2007. "Study of a class of hybrid-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1081-1095.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:3:p:1081-1095
    DOI: 10.1016/j.chaos.2005.11.105
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    Cited by:

    1. Chiou, Juing-Shian & Cheng, Chun-Ming, 2009. "Stabilization analysis of the switched discrete-time systems using Lyapunov stability theorem and genetic algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 751-759.
    2. Xiong, Lianglin & Zhong, Shouming & Ye, Mao & Wu, Shiliang, 2009. "New stability and stabilization for switched neutral control systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1800-1811.

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