Abstract Based on the stochastic nonquadratic stabilization approach, this paper proposes a method for designing dissipative controllers for continuous-time nonhomogeneous Markovian jump fuzzy systems such that performance enhancement and computational complexity reduction are simultaneously accomplished. First, the underlying stabilization conditions are formulated in terms of parameterized matrix inequalities depending on fuzzy basis functions, as well as on their time derivatives, and on mode-transition rates. Then, using our relaxation techniques that can impose stricter constraints on time-varying parameters, the stabilization conditions are converted into linear matrix inequalities (LMIs) that are less conservative and have lower computational complexity. The validity of this approach is shown by two illustrative examples.

中文翻译：

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基于随机非二次镇定法的非齐次马尔可夫跳跃模糊系统的松弛耗散控制

摘要 基于随机非二次镇定方法，本文提出了一种连续时间非齐次马尔可夫跳跃模糊系统的耗散控制器设计方法，可同时实现性能增强和计算复杂度降低。首先，根据模糊基函数及其时间导数和模式转换率，根据参数化矩阵不等式来制定基本稳定条件。然后，使用我们可以对时变参数施加更严格约束的松弛技术，将稳定条件转换为不太保守且计算复杂度较低的线性矩阵不等式 (LMI)。该方法的有效性由两个说明性示例显示。