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Exponential stability of impulsive jump linear systems with Markov process 被引量：3

Exponential stability of impulsive jump linear systems with Markov process
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摘要 The exponential stability is investigated for a class of continuous time linear systems with a finite state Markov chain form process and the impulsive jump at switching moments. The conditions, based on the average dwell time and the ratio of expectation of the total time running on all unstable subsystems to the expectation of the total time running on all stable subsystems,assure the exponential stability with a desired stability degree of the system irrespective of the impact of impulsive jump. The uniformly bounded result is realized for the case in which switched system is subjected to the impulsive effect of the excitation signal at some switching moments. The exponential stability is investigated for a class of continuous time linear systems with a finite state Markov chain form process and the impulsive jump at switching moments. The conditions, based on the average dwell time and the ratio of expectation of the total time running on all unstable subsystems to the expectation of the total time running on all stable subsystems,assure the exponential stability with a desired stability degree of the system irrespective of the impact of impulsive jump. The uniformly bounded result is realized for the case in which switched system is subjected to the impulsive effect of the excitation signal at some switching moments.
作者 Gao Liju Wu Yuqiang
机构地区 Inst. of Automation
出处 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第2期304-310,共7页 系统工程与电子技术（英文版）
基金 the National Natural Science Foundation of China (60674027, 60574007) Doctoral Foundation of Education Ministry of China (20050446001).
关键词 Jump systems Exponential stability Average dwell time Markov process. Jump systems, Exponential stability, Average dwell time, Markov process.
分类号 O211.62 [理学—概率论与数理统计]
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参考文献13

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同被引文献19

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Journal of Systems Engineering and Electronics
2007年 第2期

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