转移概率部分未知的时滞不确定Markov跳跃系统稳定性分析
研究转移概率部分未知的时滞不确定的Markov 跳跃系统随机稳定性问题，基于Lyapunov稳定理论，构造合适的Lyapunov泛函，使用自由权矩阵技术和凸结合技术来估计积分项的上界，同时也充分考虑时滞下界和上界的关系，得到保证Markov 跳跃系统随机稳定性的充分性条件，该条件以线性矩阵不等式的形式表示。最后，数值例子和其仿真验证了所提方法的有效性和优越性。...
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| Published in | 计算机应用研究 Vol. 34; no. 7; pp. 1993 - 1996 |
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| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| Published |
咸阳师范学院 数学与信息科学学院, 陕西 咸阳 712000
2017
西安电子科技大学 机电工程学院, 西安 710071%咸阳师范学院 数学与信息科学学院,陕西 咸阳,712000 |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1001-3695 |
| DOI | 10.3969/j.issn.1001-3695.2017.07.016 |
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| Abstract | 研究转移概率部分未知的时滞不确定的Markov 跳跃系统随机稳定性问题，基于Lyapunov稳定理论，构造合适的Lyapunov泛函，使用自由权矩阵技术和凸结合技术来估计积分项的上界，同时也充分考虑时滞下界和上界的关系，得到保证Markov 跳跃系统随机稳定性的充分性条件，该条件以线性矩阵不等式的形式表示。最后，数值例子和其仿真验证了所提方法的有效性和优越性。 |
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| AbstractList | TP302.7; 研究转移概率部分未知的时滞不确定的Markov 跳跃系统随机稳定性问题,基于Lyapunov稳定理论,构造合适的Lyapunov泛函,使用自由权矩阵技术和凸结合技术来估计积分项的上界,同时也充分考虑时滞下界和上界的关系,得到保证Markov 跳跃系统随机稳定性的充分性条件,该条件以线性矩阵不等式的形式表示.最后,数值例子和其仿真验证了所提方法的有效性和优越性. 研究转移概率部分未知的时滞不确定的Markov 跳跃系统随机稳定性问题，基于Lyapunov稳定理论，构造合适的Lyapunov泛函，使用自由权矩阵技术和凸结合技术来估计积分项的上界，同时也充分考虑时滞下界和上界的关系，得到保证Markov 跳跃系统随机稳定性的充分性条件，该条件以线性矩阵不等式的形式表示。最后，数值例子和其仿真验证了所提方法的有效性和优越性。 |
| Abstract_FL | This paper focused on the stability problems of delayed Markovian jumping systems with uncertainty and partial information on transition probabilities.Based on Lyapunov stability theory,it constructed proper Lyapunov functional,and used free-weighting matrix technique and convex combination technique to estimate the upper of the integral terms.It derived some sufficient conditions to guarantee that the Markovian jumping systems were stochastic stability in terms of linear matrix inequalities,in which the relationship between the lower and the upper of delay were fully taken into account.Finally,a numerical example and its simulation verify the effectiveness and superiority of the proposed method. |
| Author | 张芬 张艳邦 |
| AuthorAffiliation | 咸阳师范学院数学与信息科学学院,陕西咸阳712000 西安电子科技大学机电工程学院,西安710071 |
| AuthorAffiliation_xml | – name: 咸阳师范学院 数学与信息科学学院, 陕西 咸阳 712000;西安电子科技大学 机电工程学院, 西安 710071%咸阳师范学院 数学与信息科学学院,陕西 咸阳,712000 |
| Author_FL | Zhang Yanbang Zhang Fen |
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| Author_xml | – sequence: 1 fullname: 张芬 张艳邦 |
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| ClassificationCodes | TP302.7 |
| ContentType | Journal Article |
| Copyright | Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| DOI | 10.3969/j.issn.1001-3695.2017.07.016 |
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| DocumentTitleAlternate | Stability analysis of delayed Markovian jumping systems with uncertainty and partial information on transition probabilities |
| DocumentTitle_FL | Stability analysis of delayed Markovian jumping systems with uncertainty and partial information on transition probabilities |
| EndPage | 1996 |
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| Keywords | Markov跳跃系统 stochastic stability 随机稳定性 转移概率部分未知 linear matrix inequalities unknown transition probabilities 线性矩阵不等式 Markovian jumping systems (MJS) |
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| Notes | 51-1196/TP Markovian jumping systems（MJS）; unknown transition probabilities; stochastic stability; linear matrix inequalities This paper focused on the stability problems of delayed Markovian jumping systems with uncertainty and partial information on transition probabilities. Based on Lyapunov stability theory, it constructed proper Lyapunov functional, and used free-weighting matrix technique and convex combination technique to estimate the upper of the integral terms. It derived some sufficient conditions to guarantee that the Markovian jumping systems were stochastic stability in terms of linear matrix inequalities, in which the relationship between the lower and the upper of delay were fully taken into account. Finally, a numerical example and its simulation verify the effectiveness and superiority of the proposed method. Zhang Fen1,2, Zhang Yanbang1 （1. College of Mathematics ＆ Information Science, Xianyang Normal University, Xianyang Shaanxi 712000, China; 2. School of Mechano-electronic Engineering, Xidi |
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| PublicationYear | 2017 |
| Publisher | 咸阳师范学院 数学与信息科学学院, 陕西 咸阳 712000 西安电子科技大学 机电工程学院, 西安 710071%咸阳师范学院 数学与信息科学学院,陕西 咸阳,712000 |
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| Snippet | 研究转移概率部分未知的时滞不确定的Markov 跳跃系统随机稳定性问题，基于Lyapunov稳定理论，构造合适的Lyapunov泛函，使用自由权矩阵技术和凸结合技术来估计积分项的上... TP302.7; 研究转移概率部分未知的时滞不确定的Markov 跳跃系统随机稳定性问题,基于Lyapunov稳定理论,构造合适的Lyapunov泛函,使用自由权矩阵技术和凸结合技术来估计积分项... |
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| StartPage | 1993 |
| SubjectTerms | Markov跳跃系统 线性矩阵不等式 转移概率部分未知 随机稳定性 |
| Title | 转移概率部分未知的时滞不确定Markov跳跃系统稳定性分析 |
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