文献类型：期刊文献

英文题名：Stability Analysis for a Class of Novel Variable-Order Caputo Fractional-Order Dual Switching System

作者：Mu, Qianqian Li, Bin Long, Fei

第一作者：Mu, Qianqian

通信作者：Mu, QQ[1]

机构：[1]Guizhou Educ Univ, Guizhou Key Lab Artificial Intelligence & Brain In, Guiyang 550018, Peoples R China;[2]China Tower Corp, Guizhou Branch, Guiyang 550081, Peoples R China;[3]Guizhou Inst Technol, Sch Artificial Intelligence & Elect Engn, Guiyang 550003, Peoples R China;[4]Guizhou Inst Technol, Special Key Lab Artificial Intelligence & Intellig, Guiyang 550003, Peoples R China

第一机构：Guizhou Educ Univ, Guizhou Key Lab Artificial Intelligence & Brain In, Guiyang 550018, Peoples R China

通信机构：corresponding author), Guizhou Educ Univ, Guizhou Key Lab Artificial Intelligence & Brain In, Guiyang 550018, Peoples R China.

年份：2026

卷号：10

期号：7

外文期刊名：FRACTAL AND FRACTIONAL

收录：;Scopus(收录号：2-s2.0-105045869083);WOS:【SCI-EXPANDED(收录号:WOS:001833114500001)】；

基金：This research was funded by the National Natural Science Foundation of China, grant numbers 61813006 and 61973329; the Guizhou Provincial Science and Technology Foundation, grant number QN[2025]438; and the Doctoral Program of Guizhou Education University, grant number 2025GCC014.

语种：英文

外文关键词：Caputo fractional-order dual switching system; variable-order; almost sure stability; multiple Lyapunov function

摘要：In this paper, we investigate the stability analysis for a class of novel variable-order Caputo fractional-order dual switching systems. First, the short memory principle is adopted to construct the studied system model, where the Caputo fractional order is randomly time-varying, and the outer deterministic switching signal governs the overall dwell-time scheduling of subsystems. Under the designed event-triggered deterministic switching strategy, each fractional-order subsystem is characterized by an internal Markov random jumping processing. Secondly, combining the multiple Lyapunov functions method, fractional-order comparison lemma and average dwell time (ADT) technique, the corresponding sufficient stability criteria are established to guarantee the globally asymptotic stability almost surely (GAS a.s.) and the global Mittag-Leffler stability almost surely (GMLS a.s.). Finally, a numerical simulation example is presented to verify the feasibility and effectiveness of the derived theoretical results.