Stability and L1-gain analysis for switched positive systems with state-dependent switching

Mingjie Cai, Z. Xiang
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Abstract

This paper investigates the problem of stability and L1-gain performance analysis for switched positive systems with state-dependent switching. Sufficient conditions for the existence of L1-gain performance are presented in terms of linear programming (LP). The hysteresis switching method is used to design the switching law. An example is provided to demonstrate the effectiveness of the presented results.
状态相关开关正系统的稳定性和l1增益分析
研究了状态相关开关正系统的稳定性和l1增益性能分析问题。用线性规划(LP)的方法给出了l1增益性能存在的充分条件。采用迟滞开关法设计开关律。最后通过算例验证了所得结果的有效性。
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