Relative controllability of fractional dynamical systems with multiple delays in control
@article{Balachandran2012RelativeCO, title={Relative controllability of fractional dynamical systems with multiple delays in control}, author={K. Balachandran and Jayakumar Kokila and Juan J. Trujillo}, journal={Comput. Math. Appl.}, year={2012}, volume={64}, pages={3037-3045}, url={https://api.semanticscholar.org/CorpusID:32079964} }
46 Citations
Relative Controllability of Nonlinear Fractional Langevin Systems with Delays in Control
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Mathematics
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.…
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Sufficient conditions are obtained by using the Darbo fixed point theorem to prove the controllability of nonlinear fractional delay dynamical systems with implicit fractional derivatives for multiple delays and distributed delays in control variables.
Controllability of nonlinear stochastic systems with multiple time-varying delays in control
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Computer Science, Engineering
Sufficient conditions are established for the relative controllability of semilinear stochastic systems by using the Banach fixed point theorem.
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This study presents time-delay linear fractional systems with multiple delays in control. The formula for a solution of the discussed systems is presented and derived with the use of the Laplace…
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- 2023
Engineering, Mathematics
In the paper positive fractional continuous-time linear systems are considered. Positive fractional systems without delays and positive fractional systems with a single delay in control are studied.…
Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control
- 2017
Mathematics, Engineering
This paper describes the controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control. Necessary and sufficient conditions for the controllability…
Relative Controllability for Delayed Linear Discrete System with Second-Order Differences
- 2022
Mathematics, Engineering
In this work, with the aid of the representation of the solution, the relative controllability for delaying linear discrete systems with a second-order difference is principally investigated.…
Controllability criteria for time–delay fractional systems with a retarded state
- 2016
Engineering, Mathematics
A formula for the solution of the discussed systems is presented and derived using the Laplace transform, establishing various types of necessary and sufficient conditions for relative controllability and relative U-controllability.
Reachability and Controllability of Fractional Singular Dynamical Systems with Control Delay
- 2013
Engineering, Mathematics
A set of sufficient and necessary conditions of controllability for such systems are established based on the algebraic approach and an example is provided to illustrate the effectiveness and applicability of the proposed criteria.
Controllability of semilinear stochastic delay systems with distributed delays in control
- 2017
Engineering, Mathematics
This paper considers the problem of controllability for a class of semilinear stochastic delay systems with distributed delays in control. With the aid of fixed point arguments, sufficient conditions…