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Stability Analysis of Interconnected Fuzzy Systems Using the Fuzzy Lyapunov Method

机译：基于模糊Lyapunov方法的互联模糊系统稳定性分析

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摘要

The fuzzy Lyapunov method is investigated for use with a class of interconnected fuzzy systems. The interconnected fuzzy systems consist of / interconnected fuzzy subsystems, and the stability analysis is based on Lyapunov functions. Based on traditional Lyapunov stability theory, we further propose a fuzzy Lyapunov method for the stability analysis of interconnected fuzzy systems. The fuzzy Lyapunov function is defined in fuzzy blending quadratic Lyapunov functions. Some stability conditions are derived through the use of fuzzy Lyapunov functions to ensure that the interconnected fuzzy systems are asymptotically stable. Common solutions can be obtained by solving a set of linear matrix inequalities (LMIs) that are numerically feasible. Finally, simulations are performed in order to verify the effectiveness of the proposed stability conditions in this paper.
机译：研究了模糊李雅普诺夫方法用于一类互连模糊系统。互连模糊系统由/互连模糊子系统组成，并且稳定性分析基于Lyapunov函数。基于传统的李雅普诺夫稳定性理论，我们进一步提出了一种模糊李雅普诺夫方法用于互连模糊系统的稳定性分析。模糊Lyapunov函数是在模糊混合二次Lyapunov函数中定义的。通过使用模糊Lyapunov函数推导某些稳定性条件，以确保互连的模糊系统是渐近稳定的。通用解可以通过求解一组数值上可行的线性矩阵不等式（LMI）来获得。最后，进行仿真以验证本文所提出的稳定性条件的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2010年第speca期|p.23.1-23.10|共10页
  • 作者

    Ken Yeh; Cheng-Wu Chen;

  • 作者单位

    Department of Construction Science and Technology, De-Lin Institute of Technology, No.l, Lane 380, Qingyun Rd., Tucheng, Taipei 236, Taiwan;

    Department of Logistics Management, Shu-Te University, 59 Hun Shan Road, Yen Chau, Kaohsiung 82445, Taiwan;

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