曲阜师范大学学报（自然科学版）2024，Vol.50Issue(1)：67-71,5.DOI:10.3969/j.issn.1001-5337.2024.1.067
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
摘要
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分类
数学引用本文复制引用
高扬..带有扰动的适型分数阶时滞系统的稳定分析[J].曲阜师范大学学报（自然科学版）,2024,50(1):67-71,5.基金项目
黑龙江省自然科学基金(LH2020A017). （LH2020A017）
