Controllability of fractional dynamical systems having multiple delays in control with ψ-Caputo fractional derivative

被引：2
|
作者：
Panneer Selvam, Anjapuli [1 ,2 ]
Govindaraj, Venkatesan [1 ]
机构：
[1] Natl Inst Technol Puducherry, Dept Math, Karaikal, India
[2] Natl Inst Technol Puducherry, Dept Math, Karaikal 609609, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 04期
关键词：
psi-Caputo fractional derivative; delay systems; controllability Gramian; fractional dynamical systems; iterative technique; UNIQUENESS; EXISTENCE; RESPECT; MODEL;
D O I：
10.1002/mma.9740
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This study investigates the controllability problems for linear and nonlinear fractional control systems with multiple control delays in the context of the psi- Caputo fractional derivative. For the linear case, using the positive definiteness of the Gramian matrix, the necessary and sufficient conditions are obtained. For the nonlinear case, utilizing the iterative technique together with the completeness of the space, sufficient conditions for the existence of a solution are obtained. Just a few examples are included to make theoretical findings easier to grasp, and their respective graphs are plotted.
引用
收藏
页码：2177 / 2189
页数：13
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