In this paper, we solve the stabilization problem of linear switched systems subject to external disturbances via an event-based state-dependent switching strategy. The proposed event-triggered switching rule can relax the conditions which guarantee the stability of switched systems so as to attain more feasible solutions than the previous work. As a result, a better bound of L₂ gain performance of the system is obtained over the set of admissible disturbances. The elimination of Zeno behavior for state-dependent switched system is also proven. Finally, numerical simulations illustrate the validity of the proposed theoretical results.

中文翻译：

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事件触发切换下切换系统的综合与L2增益分析

在本文中，我们通过基于事件的状态相关切换策略解决了受外部干扰的线性切换系统的稳定问题。所提出的事件触发切换规则可以放宽保证切换系统稳定性的条件，从而获得比以往工作更可行的解决方案。结果，在允许的干扰集上获得了系统的L _{2增益性能的更好界限。}还证明了状态相关切换系统的 Zeno 行为的消除。最后，数值模拟说明了所提出的理论结果的有效性。