具有非线性扰动的线性多时变时滞系统的鲁棒稳定性

李伯忍;胥布工

系统科学与数学 ›› 2010, Vol. 30 ›› Issue (7) : 887-894.

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中国科学院数学与系统科学研究院期刊网
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系统科学与数学 ›› 2010, Vol. 30 ›› Issue (7) : 887-894. DOI: 10.12341/jssms09004
论文

具有非线性扰动的线性多时变时滞系统的鲁棒稳定性

    李伯忍(1),胥布工(2)
作者信息 +

Robust Stability for Multiple Time-Varying Delays Systems with Nonlinear Perturbations

    LI Boren (1), XU Bugong(2)
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文章历史 +

摘要

采用了一类新型积分等式,研究了具有非线性扰动的线性多时变时滞系统的时滞相关鲁棒稳定性问题,并推广得到一般的时滞相关－时滞变化率无关的鲁棒稳定性条件.数值实例表明,稳定性条件的保守性也有所减少.

Abstract

By virtue of new-type integral-equality, this paper is concerned with robust stability of multiple time-varying delays systems with nonlinear perturbations, and the delay-dependent and delay variety rate-independent robust stability condition is given. Numerical example shows effectiveness of the results.

关键词

积分等式 / 非线性扰动 / 时变时滞 / 鲁棒稳定性.

Key words

Integral-equality / nonlinear perturbation / time-varying delay / robust stability.

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李伯忍 , 胥布工. 具有非线性扰动的线性多时变时滞系统的鲁棒稳定性. 系统科学与数学, 2010, 30(7): 887-894. https://doi.org/10.12341/jssms09004
LI Boren , XU Bugong. Robust Stability for Multiple Time-Varying Delays Systems with Nonlinear Perturbations. Journal of Systems Science and Mathematical Sciences, 2010, 30(7): 887-894 https://doi.org/10.12341/jssms09004
中图分类号： 93C10    93D09   
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