ABSTRACT In this paper, a system of impulsive equations with uncertain parameters is considered. A new approach to study qualitative properties of the solutions of such systems via fuzzy impulsive systems of equations is developed. The new technique is based on a comparison result for the elaborated fuzzy impulsive system. The method of matrix-valued Lyapunov functions is also used. By means of the established new technique, different stability criteria are proposed for the stationary solutions of the systems under consideration. Our results extend the theory and can be applied in the study of other qualitative properties of uncertain impulsive systems.

中文翻译：

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基于模糊微分方程的不确定脉冲系统稳定性分析

摘要 在本文中，考虑了具有不确定参数的脉冲方程组。开发了一种通过方程的模糊脉冲系统研究此类系统解的定性性质的新方法。新技术基于详细的模糊脉冲系统的比较结果。也使用矩阵值李雅普诺夫函数的方法。借助已建立的新技术，针对所考虑系统的平稳解提出了不同的稳定性准则。我们的结果扩展了理论，可用于研究不确定脉冲系统的其他定性特性。