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Stability criterion for a class of descriptor systems with discrete and distributed time delays

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  • Sun, Yeong-Jeu

Abstract

In this paper, the global exponential stability for a class of descriptor systems with discrete and distributed time delays is considered. A distributed-delay-dependent criterion is proposed to guarantee the global exponential stability of the systems. An upper bound of arbitrary time delays without destroying stability is given such that global exponential stability is preserved. Finally, a numerical example is given to illustrate the main results.

Suggested Citation

  • Sun, Yeong-Jeu, 2007. "Stability criterion for a class of descriptor systems with discrete and distributed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 986-993.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:3:p:986-993
    DOI: 10.1016/j.chaos.2006.01.067
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    References listed on IDEAS

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    1. Arik, Sabri, 2005. "Global robust stability analysis of neural networks with discrete time delays," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1407-1414.
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    6. Liu, Yurong & Wang, Zidong & Liu, Xiaohui, 2006. "Global asymptotic stability of generalized bi-directional associative memory networks with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 793-803.
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