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

Shanmugasundaram Karthikeyan; Krishnan Balachandran; Murugesan Sathya

International Journal of Applied Mathematics and Computer Science (2015)

  • Volume: 25, Issue: 2, page 207-215
  • ISSN: 1641-876X

Abstract

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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.

How to cite

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Shanmugasundaram Karthikeyan, Krishnan Balachandran, and Murugesan Sathya. "Controllability of nonlinear stochastic systems with multiple time-varying delays in control." International Journal of Applied Mathematics and Computer Science 25.2 (2015): 207-215. <http://eudml.org/doc/270710>.

@article{ShanmugasundaramKarthikeyan2015,
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.},
author = {Shanmugasundaram Karthikeyan, Krishnan Balachandran, Murugesan Sathya},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {relative controllability; stochastic control system; multiple delays in control; Banach fixed point theorem; Banach fixed-point theorem},
language = {eng},
number = {2},
pages = {207-215},
title = {Controllability of nonlinear stochastic systems with multiple time-varying delays in control},
url = {http://eudml.org/doc/270710},
volume = {25},
year = {2015},
}

TY - JOUR
AU - Shanmugasundaram Karthikeyan
AU - Krishnan Balachandran
AU - Murugesan Sathya
TI - Controllability of nonlinear stochastic systems with multiple time-varying delays in control
JO - International Journal of Applied Mathematics and Computer Science
PY - 2015
VL - 25
IS - 2
SP - 207
EP - 215
AB - 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.
LA - eng
KW - relative controllability; stochastic control system; multiple delays in control; Banach fixed point theorem; Banach fixed-point theorem
UR - http://eudml.org/doc/270710
ER -

References

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