Reachability of time-varying fractional dynamical systems with Riemann-Liouville fractional derivative

被引：7

作者：

Vishnukumar, K. S. ^{[1
]}

Vellappandi, M. ^{[1
]}

Govindaraj, V. ^{[1
]}

机构：

[1] Natl Inst Technol Puducherry, Dept Math, Karaikal 609609, India

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2024年 / 27卷 / 03期

关键词：

Reachability (primary); Banach Fixed Point Theorem; Iterative Technique; Grammian Matrix; MINIMUM ENERGY CONTROL; LINEAR-SYSTEMS; CONTROLLABILITY; DELAYS; STATE;

D O I：

10.1007/s13540-024-00245-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study examines the reachability of a time-varying fractional dynamical system with Riemann-Liouville fractional derivative. The state transition matrix is used to solve the time-varying systems. Using the reachability Grammian matrix, the reachability linear time-varying fractional dynamical system is discussed. The existence and uniqueness of a solution of a nonlinear time-varying fractional dynamical system is established, and sufficient conditions for the reachability of nonlinear time-varying fractional dynamical systems are obtained with the help of Banach fixed point theorem. The reachability results are proved for a time-varying integro-fractional dynamical system for a particular case. A successive approximation method is proposed to give numerical solutions to the reachability problems.

引用

页码：1328 / 1347

页数：20

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