Controllability of nonlinear impulsive Ito type stochastic systems

Rathinasamy Sakthivel

International Journal of Applied Mathematics and Computer Science (2009)

  • Volume: 19, Issue: 4, page 589-595
  • ISSN: 1641-876X

Abstract

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In this article, we consider finite dimensional dynamical control systems described by nonlinear impulsive Ito type stochastic integrodifferential equations. Necessary and sufficient conditions for complete controllability of nonlinear impulsive stochastic systems are formulated and proved under the natural assumption that the corresponding linear system is appropriately controllable. A fixed point approach is employed for achieving the required result.

How to cite

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Rathinasamy Sakthivel. "Controllability of nonlinear impulsive Ito type stochastic systems." International Journal of Applied Mathematics and Computer Science 19.4 (2009): 589-595. <http://eudml.org/doc/207957>.

@article{RathinasamySakthivel2009,
abstract = {In this article, we consider finite dimensional dynamical control systems described by nonlinear impulsive Ito type stochastic integrodifferential equations. Necessary and sufficient conditions for complete controllability of nonlinear impulsive stochastic systems are formulated and proved under the natural assumption that the corresponding linear system is appropriately controllable. A fixed point approach is employed for achieving the required result.},
author = {Rathinasamy Sakthivel},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {complete controllability; resolvent matrix; impulsive Ito type stochastic equations; Brownian motion; impulsive Ito-type stochastic equations},
language = {eng},
number = {4},
pages = {589-595},
title = {Controllability of nonlinear impulsive Ito type stochastic systems},
url = {http://eudml.org/doc/207957},
volume = {19},
year = {2009},
}

TY - JOUR
AU - Rathinasamy Sakthivel
TI - Controllability of nonlinear impulsive Ito type stochastic systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2009
VL - 19
IS - 4
SP - 589
EP - 595
AB - In this article, we consider finite dimensional dynamical control systems described by nonlinear impulsive Ito type stochastic integrodifferential equations. Necessary and sufficient conditions for complete controllability of nonlinear impulsive stochastic systems are formulated and proved under the natural assumption that the corresponding linear system is appropriately controllable. A fixed point approach is employed for achieving the required result.
LA - eng
KW - complete controllability; resolvent matrix; impulsive Ito type stochastic equations; Brownian motion; impulsive Ito-type stochastic equations
UR - http://eudml.org/doc/207957
ER -

References

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