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

Controllability of nonlinear impulsive Ito type stochastic systems

Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea

International Journal of Applied Mathematics and Computer Science

{"article-title":"Controllability of nonlinear impulsive Ito type stochastic systems"}

In this article, we consider finite dimensional dynamical control systems described by nonlinear impulsive Ito type stochastic integrodifferential equations....

Controllability of nonlinear impulsive Ito type stochastic systems

Publié en ligne: 31 déc. 2009

Pages: 589 - 595

DOI: https://doi.org/10.2478/v10006-009-0046-y

Mots clés
complete controllability, resolvent matrix, impulsive Ito type stochastic equations, Brownian motion

This content is open access.

Controllability of nonlinear impulsive Ito type stochastic systems

Publié en ligne: 31 déc. 2009

Pages: 589 - 595

DOI: https://doi.org/10.2478/v10006-009-0046-y

Mots cléscomplete controllability, resolvent matrix, impulsive Ito type stochastic equations, Brownian motion

This content is open access.

Mots clés
complete controllability, resolvent matrix, impulsive Ito type stochastic equations, Brownian motion