Relative Controllability of Nonlinear Fractional Langevin Systems with Delays in Control

被引：4

作者：

Kumar, P. Suresh ^{[1
]}

Balachandran, K. ^{[1
]}

Annapoorani, N. ^{[1
]}

机构：

[1] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

来源：

VIETNAM JOURNAL OF MATHEMATICS | 2020年 / 48卷 / 01期

关键词：

Langevin equation; Relative controllability; Fractional differential equations; Mittag-Leffler matrix function; DYNAMICAL-SYSTEMS; EQUATION;

D O I：

10.1007/s10013-019-00356-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the relative controllability of fractional Langevin dynamical systems with both multiple delays and distributed delays in control for finite dimensional spaces. Sufficient conditions for the controllability are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. Examples are provided to illustrate the theory.

引用

页码：67 / 81

页数：15

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