Abstract This paper addresses the issues of finite-time bounded (FTB) and finite-time H ∞ control for nonlinear impulsive switched systems. By constructing appropriate multiple Lyapunov functions and employing mode-dependent average dwell time (MDADT) approach, some sufficient conditions are given to ensure that the system is FTB and finite-time H ∞ controllable. Moreover, a hybrid dynamic output feedback controller which contains continuous-time control and discrete-time control is designed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.

中文翻译：

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非线性脉冲切换系统的有限时间H∞动态输出反馈控制

摘要 本文解决了非线性脉冲切换系统的有限时间有界(FTB) 和有限时间H ∞ 控制问题。通过构造合适的多个李雅普诺夫函数，并采用模态相关平均驻留时间（MDADT）方法，给出了一些充分条件，以确保系统是 FTB 和有限时间 H ∞ 可控的。此外，根据线性矩阵不等式(LMI)设计了一种包含连续时间控制和离散时间控制的混合动态输出反馈控制器。最后，给出了两个数值例子来说明所提出结果的有效性。