In this study, the finite‐time control for uncertain positive systems with impulses using a hybrid state feedback control mechanism is investigated. The hybrid state feedback double control strategy is utilized, which includes impulsive state control scheme and continuous state feedback control scheme. A type of time‐varying Lyapunov copositive function is constructed. Considering different impulsive effects, the finite‐time boundedness criterion is obtained by applying the average impulsive interval approach. In addition, sufficient conditions are proposed for finite‐time characterization analysis and the hybrid state feedback controller design. All the criteria can be checked by the linear programming approach succinctly. The relationships among the upper bound of the finite‐time interval, the frequency and intensity of impulses, and the minimum allowable ‐gain level are revealed. Numerical examples are used to illustrate the usefulness of the theoretical results.

中文翻译：

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通过混合状态反馈对带有脉冲的不确定正系统进行有限时间控制

在这项研究中，研究了使用混合状态反馈控制机制对带有脉冲的不确定正系统的有限时间控制。利用了混合状态反馈双控制策略，包括脉冲状态控制方案和连续状态反馈控制方案。构造了一种时变的Lyapunov正函数。考虑到不同的脉冲效应，通过应用平均脉冲间隔法获得了有限时间有界性准则。此外，为有限时间提出了充分的条件特征分析和混合状态反馈控制器设计。可以通过线性编程方法简洁地检查所有标准。揭示了有限时间间隔的上限，脉冲的频率和强度以及最小允许增益水平之间的关系。数值例子说明了理论结果的实用性。