ABSTRACT

In this paper, the stability of an equilibrium of a feedback nonlinear system with time delay and structural switching is studied. The critical case of a zero root of the characteristic equations of the linearised systems is treated by applying a Malkin-type theorem using a complete Lyapunov–Krasovskii functional.

中文翻译：

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临界情况下时滞切换非线性微分方程组的稳定性

摘要

本文研究了具有时滞和结构切换的反馈非线性系统的平衡稳定性。线性化系统的特征方程的零根的临界情况通过使用完整的 Lyapunov-Krasovskii 泛函应用 Malkin 型定理来处理。