带有扰动的适型分数阶时滞系统的稳定分析
Stability analysis of conformable-fractional time-delay systems with disturbances
高扬1
作者信息
- 1. 大庆师范学院数学科学学院,163712,黑龙江省大庆市
- 折叠
摘要
基于非线性系统Lyapunov稳定理论,在适型分数阶导数意义下,针对带有扰动的导数阶数在开区间(0,1)的分数阶时滞非线性系统,研究其稳定与镇定.首先,基于Lyapunov-Krasovskii泛函思想,给出带有扰动的适型分数阶时滞系统稳定定理.其次,基于TP管控策略,在Filippov解的意义下,给出带有扰动的时滞适型分数阶系统反馈镇定定理.最后,举例说明结果的正确性.
Abstract
Based on the Lyapunov stability theory of nonlinear systems,the stability and stabilization of conformable fractional-order time-delay nonlinear systems with disturbances where the order of the deriva-tive is in the interval(0,1)are studied.Firstly,based on the Lyapunov-Krasovskii functional theory,stabil-ity theorems of conformable fractional-order time-delay nonlinear systems with disturbances are proposed.Secondly,based on TP control strategy and Filippov theory,feedback stabilization theorems for conform-able fractional-order time-delay nonlinear systems with disturbances are given.Finally,an example is given to illustrate the correctness of main results.
关键词
适型分数阶/分数阶/Lyapunov定理/渐近稳定Key words
conformable-fractional order/fractional order/Lyapunov theorem/asymptotical stability引用本文复制引用
基金项目
黑龙江省自然科学基金(LH2020A017)
出版年
2024
国家科技期刊平台
NSTL
维普
万方数据