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.
@article{bwmeta1.element.bwnjournal-article-amcv25i2p207bwm,
author = {Shanmugasundaram Karthikeyan and Krishnan Balachandran and Murugesan Sathya},
title = {Controllability of nonlinear stochastic systems with multiple time-varying delays in control},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {25},
year = {2015},
pages = {207-215},
zbl = {1322.93020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv25i2p207bwm}
}
Shanmugasundaram Karthikeyan; Krishnan Balachandran; Murugesan Sathya. Controllability of nonlinear stochastic systems with multiple time-varying delays in control. International Journal of Applied Mathematics and Computer Science, Tome 25 (2015) pp. 207-215. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv25i2p207bwm/
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