Relative controllability of fractional dynamical systems with multiple delays in control

Balachandran, K.; Kokila, J.; Trujillo, Juan J.

doi:10.1016/j.camwa.2012.01.071

Cited by 57 publications

(28 citation statements)

References 21 publications

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“…So far, there have been very few results for stochastic systems in which multiple delays in control input are involved (Klamka, 2008b;Sikora and Klamka, 2012). Recently, Balachandran et al (2012) established global relative controllability of fractional dynamical systems with multiple delays in control. Inspired by the above recent works, this study focuses on the controllability problem for semi-linear stochastic systems involving multiple time varying delays in control input.…”

Section: S Karthikeyan Et Almentioning

confidence: 99%

Controllability of nonlinear stochastic systems with multiple time-varying delays in control

Karthikeyan

Balachandran

Sathya

2015

International Journal of Applied Mathematics and Computer Science

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This paper is concerned with the problem of controllability of semi-linear stochastic systems with time varying multiple delays in control in finite dimensional spaces. Sufficient conditions are established for the relative controllability of semilinear stochastic systems by using the Banach fixed point theorem. A numerical example is given to illustrate the application of the theoretical results. Some important comments are also presented on existing results for the stochastic controllability of fractional dynamical systems.

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Section: S Karthikeyan Et Almentioning

confidence: 99%

Controllability of nonlinear stochastic systems with multiple time-varying delays in control

Karthikeyan

Balachandran

Sathya

2015

International Journal of Applied Mathematics and Computer Science

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“…Several results on the controllability of nonlinear fractional dynamical systems with multiple delays and distributed delays in control were derived by Balachandran and Kokila (2012; as well as Balachandran et al (2012a;2012c). Recently, Balachandran and Divya (2014) studied the controllability of nonlinear implicit fractional integrodifferential systems.…”

Section: Introductionmentioning

confidence: 99%

The controllability of nonlinear implicit fractional delay dynamical systems

Nirmala

Balachandran

2017

International Journal of Applied Mathematics and Computer Science

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“…Klamka (2010) discussed the minimum energy control problem of infinite-dimensional fractional-discrete time linear systems and established necessary and sufficient conditions for exact controllability of such systems. Recently, Balachandran et al (2012a;2013a;2013b;2012b;2012c;2012d) studied the controllability problem for various types of nonlinear fractional dynamical systems by using fixed point theorems.…”

Section: Introductionmentioning

confidence: 99%