Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay-Reference-Cited by-同舟云学术

Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay

Published:2011 Issue: Volume:2011 Page:1-14
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Dzhalladova Irada A.¹,Baštinec Jaromír²,Diblík Josef²³,Khusainov Denys Y.⁴

Affiliation:

1. Department of Mathematics, Kyiv National Economic University, Peremogy Avenue, Kyiv 03038, Ukraine

2. Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 8, 616 00 Brno, Czech Republic

3. Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, Veveří 331/95, 602 00 Brno, Czech Republic

4. Faculty of Cybernetics, Taras Shevchenko National University of Kyiv, Vladimirskaya Street, Kyiv 01601, Ukraine

Abstract

A nonlinear stochastic differential-difference control system with delay of neutral type is considered. Sufficient conditions for the exponential stability are derived by using Lyapunov-Krasovskii functionals of quadratic form with exponential factors. Upper bound estimates for the exponential rate of decay are derived.

Funder

Czech Grant Agency

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/920412.pdf

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