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

Shanmugasundaram Karthikeyan; Krishnan Balachandran; Murugesan Sathya

doi:10.1515/amcs-2015-0015

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

International Journal of Applied Mathematics and Computer Science

Volume 25 (2015): Issue 2 (June 2015)

By: Shanmugasundaram Karthikeyan, Krishnan Balachandran and Murugesan Sathya

Open Access

|Jun 2015

Abstract

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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Articles in this issue

DOI: https://doi.org/10.1515/amcs-2015-0015 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 207 - 215

Submitted on: Jan 17, 2014

Published on: Jun 25, 2015

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

relative controllability,

stochastic control system,

multiple delays in control,

Banach fixed point theorem

Related subjects:

Mathematics,

Applied mathematics

© 2015 Shanmugasundaram Karthikeyan, Krishnan Balachandran, Murugesan Sathya, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 25 (2015): Issue 2 (June 2015)