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Existence of self-oscillation for a class of nonlinear discrete-time systems

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  • Sun, Yeong-Jeu

Abstract

In this paper, the self-oscillation phenomenon for a class of nonlinear discrete-time systems is investigated. Based on the time-domain approach, the existence of limit cycle for such systems can be guaranteed. Besides, the exponentially stable limit cycles, the period of oscillation, and guaranteed convergence rate can be correctly estimated. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the obtained result.

Suggested Citation

  • Sun, Yeong-Jeu, 2009. "Existence of self-oscillation for a class of nonlinear discrete-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 731-734.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:731-734
    DOI: 10.1016/j.chaos.2009.02.005
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    References listed on IDEAS

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    1. Cheng, Zunshui & Lin, Yiping & Cao, Jinde, 2006. "Dynamical behaviors of a partial-dependent predator–prey system," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 67-75.
    2. Ramos, J.I., 2006. "Piecewise-linearized methods for oscillators with limit cycles," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1229-1238.
    3. Sun, Yeong-Jeu, 2008. "Existence and uniqueness of limit cycle for a class of nonlinear discrete-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 89-96.
    4. Sun, Yeong-Jeu, 2007. "Limit cycles design for a class of bilinear control systems," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 156-162.
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