| Exponential stability of impulsive jump linear systems with Markov process |
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| 作者单位： | Gao Lijun（Iast, of Automation, Qufu Normal Univ., Qufu 273165, P. R. China） ;
Wu Yuqiang（Iast, of Automation, Qufu Normal Univ., Qufu 273165, P. R. China） ; |
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| 基金项目： | 国家自然科学基金;高等学校博士学科点专项科研项目 |
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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.
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| 收稿时间： | 5 December 2005 |
Exponential stability of impulsive jump linear systems with Markov process. |
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| Authors: | Gao Lijun Wu Yuqiang |
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| Institution: | Iast, of Automation, Qufu Normal Univ., Qufu 273165, P. R. China |
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| Abstract: | 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. |
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| Keywords: | Jump systems Exponential stability Average dwell time Markov process |
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