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

共 50 条

[31] Relative null controllability of nonlinear systems with delayed control
Onwuatu, J.U.
Advances in Modelling & Simulation, 1991, 24 (01): : 17 - 38
[32] Relative controllability of stochastic nonlinear systems with delay in control
Shen, Lijuan
Sun, Jitao
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (06) : 2880 - 2887
[33] GLOBAL RELATIVE-CONTROLLABILITY OF NONLINEAR-SYSTEMS WITH TIME-VARYING MULTIPLE DELAYS IN CONTROL
BALACHANDRAN, K
INTERNATIONAL JOURNAL OF CONTROL, 1987, 46 (01) : 193 - 200
[34] Null controllability of nonlinear infinite neutral systems with delays in control
Dauer, JP
Balachandran, K
Anthoni, SM
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 36 (02) : 39 - 50
[35] CONTROLLABILITY OF A CLASS OF NONLINEAR-SYSTEMS WITH DISTRIBUTED DELAYS IN CONTROL
BALACHANDRAN, K
SOMASUNDARAM, D
KYBERNETIKA, 1983, 19 (06) : 475 - 482
[36] Controllability of fractional dynamical systems having multiple delays in control with ψ-Caputo fractional derivative
Panneer Selvam, Anjapuli
Govindaraj, Venkatesan
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (04) : 2177 - 2189
[37] Controllability of the generalised proportional fractional dynamical systems having delays in control
Vishnukumar, K. S.
Govindaraj, V.
JOURNAL OF CONTROL AND DECISION, 2024,
[38] Controllability Criteria for Nonlinear Impulsive Fractional Differential Systems with Distributed Delays in Controls
Debbouche, Amar
Vadivoo, Bhaskar Sundara
Fedorov, Vladimir E.
Antonov, Valery
MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, 2023, 28 (01)
[39] RELATIVE CONTROLLABILITY AND MINIMUM ENERGY CONTROL OF LINEAR-SYSTEMS WITH DISTRIBUTED DELAYS IN CONTROL
KLAMKA, J
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (04) : 594 - 595
[40] Null controllability of Nonlinear infinite neutral systems with multiple delays in control
Umana, R. A.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2008, 10 (04) : 509 - 522

← 1 2 3 4 5 →