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

作　　者：高扬[1] GAO Yang(College of Mathematics,Daqing Normal University,163712,Daqing,Heilongjiang,PRC)

机构地区：[1]大庆师范学院数学科学学院,163712,黑龙江省大庆市

出　　处：《曲阜师范大学学报（自然科学版）》2024年第1期67-71,共5页Journal of Qufu Normal University(Natural Science)

基　　金：黑龙江省自然科学基金(LH2020A017)。

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.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 derivative is in the interval(0,1)are studied.Firstly,based on the Lyapunov-Krasovskii functional theory,stability 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 conformable 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 

分 类 号：O175.6[理学—数学]