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带有扰动的适型分数阶时滞系统的稳定分析

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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.
Stability analysis of conformable-fractional time-delay systems with disturbances
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.

conformable-fractional orderfractional orderLyapunov theoremasymptotical stability

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大庆师范学院数学科学学院,163712,黑龙江省大庆市

适型分数阶 分数阶 Lyapunov定理 渐近稳定

黑龙江省自然科学基金

LH2020A017

2024

曲阜师范大学学报(自然科学版)
山东曲阜师范大学

曲阜师范大学学报(自然科学版)

影响因子:0.299
ISSN:1001-5337
年,卷(期):2024.50(1)
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