Regional Stability of Positive Switched Linear Systems with Multi-equilibrium Points 被引量：2

Regional Stability of Positive Switched Linear Systems with Multi-equilibrium Points

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摘要 This paper studies the regional stability for positive switched linear systems with multi-equilibrium points （PSLS-MEP）. First, a sufficient condition is presented for the regional stability of PSLS-MEP via a common linear Lyapunov function. Second, by establishing multiple Lyapunov functions, a dwell time based condition is proposed for the regional stability analysis. Third, a suprasphere which contains all equilibrium points is constructed as a stability region of the considered PSLS-MEP, which is less conservative than existing results. Finally, the study of an illustrative example shows that the obtained results are effective in the regional stability analysis of PSLS-MEP. This paper studies the regional stability for positive switched linear systems with multi-equilibrium points （PSLS-MEP）. First, a sufficient condition is presented for the regional stability of PSLS-MEP via a common linear Lyapunov function. Second, by establishing multiple Lyapunov functions, a dwell time based condition is proposed for the regional stability analysis. Third, a suprasphere which contains all equilibrium points is constructed as a stability region of the considered PSLS-MEP, which is less conservative than existing results. Finally, the study of an illustrative example shows that the obtained results are effective in the regional stability analysis of PSLS-MEP.

作者 Zhi Liu Yu-Zhen Wang

机构地区 School of Control Science and Engineering

出处《International Journal of Automation and computing》 EI CSCD 2017年第2期213-220,共8页 国际自动化与计算杂志（英文版）

基金 supported by National Natural Science Foundation of China(No.61374065) the Research Fund for the Taishan Scholar Project of Shandong Province

关键词 Regional stability positive switched linear system multi-equilibrium points common linear Lyapunov function multipleLyapunov function. Regional stability, positive switched linear system, multi-equilibrium points, common linear Lyapunov function, multipleLyapunov function.

分类号 O231 [理学—运筹学与控制论]

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参考文献1

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