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
收藏
页码：67 / 81
页数：15
相关论文
共 50 条
  • [31] RELATIVE CONTROLLABILITY OF LINEAR SYSTEMS OF FRACTIONAL ORDER WITH DELAY
    Mur, Therese
    Henriquez, Hernan R.
    MATHEMATICAL CONTROL AND RELATED FIELDS, 2015, 5 (04) : 845 - 858
  • [32] Controllability of fractional order damped dynamical systems with distributed delays
    Arthi, G.
    Park, Ju H.
    Suganya, K.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2019, 165 : 74 - 91
  • [33] Controllability of impulsive fractional damped integrodifferential systems with distributed delays
    Arthi, G.
    Sivasangari, R.
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2024,
  • [34] ON THE CONTROLLABILITY OF DISTRIBUTED-ORDER FRACTIONAL SYSTEMS WITH DISTRIBUTED DELAYS
    He, Bin-Bin
    Chen, YangQuan
    Kou, Chun-Hai
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2017, VOL 9, 2017,
  • [35] Relative controllability for ψ-Caputo fractional delay control system
    Muthuvel, K.
    Kaliraj, K.
    Nisar, Kottakkaran Sooppy
    Vijayakumar, V.
    RESULTS IN CONTROL AND OPTIMIZATION, 2024, 16
  • [36] Relative controllability analysis of fractional order differential equations with multiple time delays
    Vadivoo, B. S.
    Jothilakshmi, G.
    Almalki, Y.
    Debbouche, A.
    Lavanya, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 428
  • [37] Relative controllability of multiagent systems with pairwise different delays in states
    Si, Yuanchao
    Wang, JinRong
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2022, 27 (02): : 289 - 307
  • [38] Controllability of nonlinear higher order fractional dynamical systems
    Balachandran, K.
    Govindaraj, V.
    Rodriguez-Germa, L.
    Trujillo, J. J.
    NONLINEAR DYNAMICS, 2013, 71 (04) : 605 - 612
  • [39] Controllability of nonlinear higher order fractional dynamical systems
    K. Balachandran
    V. Govindaraj
    L. Rodríguez-Germá
    J. J. Trujillo
    Nonlinear Dynamics, 2013, 71 : 605 - 612
  • [40] THE CONTROLLABILITY OF NONLINEAR IMPLICIT FRACTIONAL DELAY DYNAMICAL SYSTEMS
    Joice Nirmala, Rajagopal
    Balachandran, Krishnan
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2017, 27 (03) : 501 - 513
12345