Abstract The problem of fixed-time stability of switched systems is studied. With the aid of the multiple Lyapunov function method, constraints on switching signals are derived under which global fixed-time stability of zero solutions of considered systems can be guaranteed. Sufficient conditions of fixed-time stability for Persidskii-type systems are obtained. The developed approaches are applied to the problem of the fixed-time deployment of mobile agents over a line segment under protocols with switched communication topology. Efficiency of the obtained results is demonstrated by a numerical simulation.

中文翻译：

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切换系统的固定时间稳定性在编队控制问题中的应用

摘要 研究了切换系统的固定时间稳定性问题。借助多重李雅普诺夫函数方法，推导出开关信号的约束条件，在该约束条件下可以保证所考虑系统零解的全局固定时间稳定性。获得了 Persidskii 型系统固定时间稳定性的充分条件。所开发的方法应用于在具有交换通信拓扑的协议下在线段上固定时间部署移动代理的问题。通过数值模拟证明了所得结果的效率。