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摘要: 研究了状态依赖广义时变脉冲系统的时域稳定问题.基于微分矩阵不等式 (Differential matrix inequalities, DMI) 和S-procedure理论, 给出了两类状态依赖广义时变脉冲系统时域稳定的充分条件.接下来, 根据给出的充分条件设计了状态反馈控制器, 使得闭环系统时域稳定.最后, 给出数值算例来验证结论的有效性.Abstract: This paper deals with the state-dependent finite-time stability problem for continuous-time linear time-varying descriptor impulse systems. The sufficient conditions for state-dependent continuous-time linear time-varying descriptor impulse systems to be finite-time stable are proposed in terms of a set of differential matrix inequalities (DMI) and the S-procedure arguments. Based on the conditions above, a state feedback controller is designed such that the resultant closed-loop system is finite-time stable. Finally, an example is presented to show the effectiveness of the obtained theoretical results.
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