Relative controllability of fractional dynamical systems with delays in control

被引：56
|
作者：
Balachandran, K. [2 ]
Zhou, Yong [1 ]
Kokila, J. [2 ]
机构：
[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China
[2] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Relative controllability; Time delays; Distributed delays; Fractional derivative; Mittag-Leffler function; NONLINEAR-SYSTEMS; DISTRIBUTED DELAYS; LINEAR-SYSTEMS; INTEGRODIFFERENTIAL EQUATIONS;
D O I：
10.1016/j.cnsns.2011.12.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the controllability of nonlinear fractional dynamical systems with time varying multiple delays and distributed delays in control defined in finite dimensional spaces. Sufficient conditions for controllability results are obtained using the Schauder fixed point theorem and the controllability Grammian matrix which is defined by Mittag-Leffler matrix function. Examples are provided to illustrate the theory. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：3508 / 3520
页数：13
相关论文
共 50 条
  • [1] Relative controllability of fractional dynamical systems with distributed delays in control
    Balachandran, K.
    Zhou, Yong
    Kokila, J.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) : 3201 - 3209
  • [2] Relative controllability of fractional dynamical systems with multiple delays in control
    Balachandran, K.
    Kokila, J.
    Trujillo, J. J.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) : 3037 - 3045
  • [3] Global relative controllability of fractional stochastic dynamical systems with distributed delays in control
    Guendouzi, Toufik
    Hamada, Iqbal
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2014, 32 (02): : 55 - 71
  • [4] Relative Controllability of Nonlinear Fractional Langevin Systems with Delays in Control
    P. Suresh Kumar
    K. Balachandran
    N. Annapoorani
    [J]. Vietnam Journal of Mathematics, 2020, 48 : 67 - 81
  • [5] Relative Controllability of Nonlinear Fractional Langevin Systems with Delays in Control
    Kumar, P. Suresh
    Balachandran, K.
    Annapoorani, N.
    [J]. VIETNAM JOURNAL OF MATHEMATICS, 2020, 48 (01) : 67 - 81
  • [6] Relative Exact Controllability of Fractional Linear Systems with Delays in Control
    Klamka, J.
    [J]. Automation, Robotics and Communications for Industry 4.0/5.0, 2023, 2023 : 192 - 193
  • [7] Controllability of fractional dynamical systems having multiple delays in control with ψ-Caputo fractional derivative
    Panneer Selvam, Anjapuli
    Govindaraj, Venkatesan
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (04) : 2177 - 2189
  • [8] On the Controllability of Fractional Damped Dynamical Systems with Distributed Delays
    He Bin-Bin
    Zhou Hua-Cheng
    Kou Chun-Hai
    [J]. PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 10418 - 10423
  • [9] Controllability of time-varying fractional dynamical systems with distributed delays in control
    Vishnukumar, K. S.
    Sivalingam, S. M.
    Govindaraj, V
    [J]. PHYSICA SCRIPTA, 2024, 99 (06)
  • [10] Controllability of fractional dynamical systems with distributed delays in control using ?$$ \psi $$-Caputo fractional derivative
    Selvam, Anjapuli Panneer
    Govindaraj, Venkatesan
    [J]. ASIAN JOURNAL OF CONTROL, 2023, 25 (06) : 4257 - 4267
12345