中立型带跳不确定变时滞随机系统鲁棒指数稳定

李亚军,邓飞其

系统科学与数学 ›› 2012, Vol. 32 ›› Issue (7) : 821-830.

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PDF(324 KB)
系统科学与数学 ›› 2012, Vol. 32 ›› Issue (7) : 821-830. DOI: 10.12341/jssms11926
论文

中立型带跳不确定变时滞随机系统鲁棒指数稳定

    李亚军1,邓飞其2
作者信息 +

THE ROBUST EXPONENTIAL STABILITY FOR A CLASS OF UNCERTAIN NEUTRAL STOCHASTIC SYSTEM WITH MARKOVIAN JUMP AND TIME-VARYING DELAYS

    LI Yajun1, DENG Feiqi2
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摘要

研究了一类中立型Markov跳变随机系统鲁棒指数稳定性,借助于Lyapunov-Krasovskii 泛函 方法和随机稳定性理论,给出并证明了使中立型Markov跳变时滞随机系统指数稳定的充分条件,所有结果以线性矩阵不等式形式给出, 算例表明 了所给出的稳定性判据的有效性.

Abstract

The robust exponential stability problem for a class of uncertain neutral stochastic system with Markovian jump and time-varying delays is investigated. By using the Lyapunov-Krasovskii method and stochastic stability theory, the sufficient condition making the system robust exponential stable is proposed and derived . All results are given in terms of linear matrix inequalities (LMIs) and numerical example is given to illustrate the effectiveness of the developed stability criteria.

关键词

鲁棒指数稳定性 /   /   / 中立系统 / Markov跳变 / 随机系统 /   / 线性矩阵不等式.

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李亚军,邓飞其. 中立型带跳不确定变时滞随机系统鲁棒指数稳定. 系统科学与数学, 2012, 32(7): 821-830. https://doi.org/10.12341/jssms11926
LI Yajun, DENG Feiqi. THE ROBUST EXPONENTIAL STABILITY FOR A CLASS OF UNCERTAIN NEUTRAL STOCHASTIC SYSTEM WITH MARKOVIAN JUMP AND TIME-VARYING DELAYS. Journal of Systems Science and Mathematical Sciences, 2012, 32(7): 821-830 https://doi.org/10.12341/jssms11926
中图分类号: 93E15   
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