循环开关非线性系统的固定时间稳定性标准

IF 2.4 Q2 AUTOMATION & CONTROL SYSTEMS

IEEE Control Systems Letters Pub Date : 2024-11-13 DOI:10.1109/LCSYS.2024.3497833

Zhibao Song

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引用次数: 0

摘要

本文首次提出了非线性系统的广义固定时间稳定性。通过 Lyapunov 函数幂的关系，为定时稳定性提供了一个更简单、更大比例、更保守、更精确的沉降时间函数估计值，而且它仍然与初始条件无关。随后，分别提出了循环开关非线性系统在所有稳定模式和不稳定模式下的定时稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fixed-Time Stability Criteria of Cyclic Switched Nonlinear Systems

In this letter, a generalized fixed-time stability of nonlinear systems is firstly proposed. By the relation on the powers of Lyapunov function, a simpler, larger scaled, less conservative, and more accurate estimate of the settling-time function is provided for fixed-time stability, and it is still independent of the initial conditions. Subsequently, fixed-time stability of cyclic switched nonlinear systems is put forward under all stable modes and unstable modes, respectively.

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来源期刊

IEEE Control Systems Letters Mathematics-Control and Optimization

CiteScore

4.40

自引率

13.30%

发文量

471