This paper studies the fixed-time stability problem for positive nonlinear systems defined by cooperative vector fields. A criterion is derived to ensure fixed-time stabilization of the positive nonlinear systems using Lyapunov method. In addition, a sufficient condition is also presented for fixed-time stability of switched positive nonlinear systems under arbitrary switching. Simulation examples are provided to demonstrate the obtained results.

中文翻译：

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正非线性系统的固定时间稳定性

本文研究了由协同向量场定义的正非线性系统的固定时间稳定性问题。使用李雅普诺夫方法推导出一个准则来确保正非线性系统的固定时间稳定。此外，还给出了任意切换下切换正非线性系统定时稳定的充分条件。提供了仿真示例来演示所获得的结果。