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2011 Estimates of Exponential Stability for Solutions of Stochastic Control Systemswith Delay
Irada A. Dzhalladova, Jaromír Baštinec, Josef Diblík, Denys Y. Khusainov
Abstr. Appl. Anal. 2011(SI1): 1-14 (2011). DOI: 10.1155/2011/920412

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.

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Irada A. Dzhalladova. Jaromír Baštinec. Josef Diblík. Denys Y. Khusainov. "Estimates of Exponential Stability for Solutions of Stochastic Control Systemswith Delay." Abstr. Appl. Anal. 2011 (SI1) 1 - 14, 2011. https://doi.org/10.1155/2011/920412

Information

Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1217.93150
MathSciNet: MR2800069
Digital Object Identifier: 10.1155/2011/920412

Rights: Copyright © 2011 Hindawi

Vol.2011 • No. SI1 • 2011
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