具有扰动和时滞的切换时变系统的多项式稳定性
Polynomial Stability of Switched Time-Varying Systems with Disturbances and Delays
田吉 1龙飞2
作者信息
- 1. 贵州中医药大学时珍学院信息工程学部,贵州 修文 550200;贵州大学电气工程学院,贵州 贵阳 550025
- 2. 贵州理工学院人工智能与电气工程学院,贵州 贵阳 550003
- 折叠
摘要
研究了具有扰动和时变时滞的非线性切换时变系统的多项式稳定性问题.基于一种不涉及通常的Lyapunov-Krasovskii泛函的新方法,讨论了 0＜q＜1阶齐次连续时间非线性切换时滞系统,且给出了在设计的对数平均停留时间切换下,系统的所有状态在其中呈指数收敛的充分条件.此外,还将非线性切换时变系统推广到了对线性切换时变系统的研究中,且给出了线性时变系统在对数平均停留时间下多项式稳定的充分条件.最后给出了两个数值算例,验证了所得结果的有效性.
Abstract
The polynomial stability problem of nonlinear switched time-varying systems with disturbances and time-varying delays was studied.Based on a new method that does not involve the usual Lyapunov Krasovskii functional,this paper discusses a homogeneous continuous time nonlinear switching delay system of order 0＜q＜1 and provides sufficient conditions for all states of the system to converge exponentially under the designed logarithmic mean residence time switching.In addition,nonlinear switched time-varying systems are extended to the study of linear switched time-varying systems,and sufficient conditions for polynomial stability of linear time-varying systems under logarithmic mean residence time are given.Finally,two numerical examples were provided to verify the effectiveness of the obtained results.
关键词
切换时变系统/多项式稳定性/对数平均停留时间/时变时滞Key words
switching time-varying systems/polynomial stability/logarithmic average resi-dence time/time-varying time delay引用本文复制引用
出版年
2024
NETL
NSTL
万方数据