Displaying similar documents to “Constrained controllability of nonlinear stochastic impulsive systems”

Controllability of nonlinear impulsive Ito type stochastic systems

Rathinasamy Sakthivel (2009)

International Journal of Applied Mathematics and Computer Science

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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.

Stochastic controllability of systems with multiple delays in control

Jerzy Klamka (2009)

International Journal of Applied Mathematics and Computer Science

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Finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with multiple point delays in control are considered. Using the notation, theorems and methods used for deterministic controllability problems for linear dynamic systems with delays in control as well as necessary and sufficient conditions for various kinds of stochastic relative controllability in a given time interval are formulated and proved. It will be proved...

Stochastic controllability of linear systems with state delays

Jerzy Klamka (2007)

International Journal of Applied Mathematics and Computer Science

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A class of finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with a single point delay in the state variables is considered. Using a theorem and methods adopted directly from deterministic controllability problems, necessary and sufficient conditions for various kinds of stochastic relative controllability are formulated and proved. It will be demonstrated that under suitable assumptions the relative controllability...

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

Shanmugasundaram Karthikeyan, Krishnan Balachandran, Murugesan Sathya (2015)

International Journal of Applied Mathematics and Computer Science

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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...

Controllability of semilinear stochastic integrodifferential systems

Krishnan Balachandran, S. Karthikeyan, Jeong-Hoon Kim (2007)

Kybernetika

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In this paper we study the approximate and complete controllability of stochastic integrodifferential system in finite dimensional spaces. Sufficient conditions are established for each of these types of controllability. The results are obtained by using the Picard iteration technique.