<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Department of Mathematics Periyar University, Salem 636 011, India

Department of Mathematics Bharathiar University, Coimbatore 641 046, India

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

This paper is concerned with the problem of controllability of semi-linear stochastic systems with time varying multiple delays in control in finite...

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

Published Online: Jun 25, 2015

Page range: 207 - 215

Received: Jan 17, 2014

DOI: https://doi.org/10.1515/amcs-2015-0015

© by Shanmugasundaram Karthikeyan

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.