Relative controllability of nonlinear switched fractional delayed systems

被引：6

作者：

Luo, Hui-Ping ^{[1
]}

Liu, Song ^{[1
,2
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

[2] Anhui Univ, Ctr Pure Math, Hefei 230601, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 119卷

关键词：

Relative controllability; Nonlinear switched fractional delayed; system; Schauder?s fixed point theorem; Delayed Mittag-Leffler matrix function; FINITE-TIME STABILITY; APPROXIMATE CONTROLLABILITY; EQUATIONS;

D O I：

10.1016/j.cnsns.2023.107133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the relative controllability of nonlinear switched fractional delayed systems (SFDSs) with both state and input delays. The solution to a switching signal is first presented by employing delayed Mittag-Leffler matrix functions. Then, applying Schauder's fixed point theorem, several sufficient conditions on relative controllability are proposed. Finally, one concrete example is specifically worked out to test our theoretical conclusions

引用

页数：11

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