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On the C(R) stability of uncertain singularly perturbed systems

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  • Sun, Yeong-Jeu

Abstract

In this paper, a simple criterion for the C(R) stability of uncertain singularly perturbed systems is proposed. Such a criterion can be easily checked by some algebraic inequality. The upper bound of the singular perturbation parameter ε is also given by estimating the unique positive zero of specific function. Finally, a numerical example is provided to illustrate the main result.

Suggested Citation

  • Sun, Yeong-Jeu, 2009. "On the C(R) stability of uncertain singularly perturbed systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 182-187.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:1:p:182-187
    DOI: 10.1016/j.chaos.2007.01.117
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    References listed on IDEAS

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    1. Chen, Xianfeng & Yu, Pei & Han, Maoan & Zhang, Weijiang, 2005. "Canard solutions of two-dimensional singularly perturbed systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 915-927.
    2. Liu, Xingwen & Zhang, Hongbin, 2005. "New stability criterion of uncertain systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1343-1348.
    3. Chen, Heng-Hui, 2006. "Stability and chaotic dynamics of a perturbed rate gyro," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 822-835.
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