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

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

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...

Full description

Saved in:

Bibliographic Details
Main Authors:	Irada A. Dzhalladova, Jaromír Baštinec, Josef Diblík, Denys Y. Khusainov
Format:	Article
Language:	English
Published:	Wiley 2011-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2011/920412
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Exponential Stability of Linear Discrete Systems with Multiple Delays
by: J. Baštinec, et al.
Published: (2018-01-01)

The Stability of Nonlinear Differential Systems with Random Parameters
by: Josef Diblík, et al.
Published: (2012-01-01)

Subdominant positive solutions of the discrete equation Δu(k+n)=−p(k)u(k)
by: Jaromír Baštinec, et al.
Published: (2004-01-01)

Exponential Stability of Linear Discrete Systems with Variable Delays via Lyapunov Second Method
by: Josef Diblík
Published: (2017-01-01)

On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays
by: Jaromír Baštinec, et al.
Published: (2010-01-01)

Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case
by: Josef Diblík, et al.
Published: (2010-01-01)

Moment Equations in Modeling a Stable Foreign Currency Exchange Market in Conditions of Uncertainty
by: Josef Diblík, et al.
Published: (2013-01-01)

On Exponential Stability of Composite Stochastic Control Systems
by: Fakhreddin Abedi, et al.
Published: (2013-01-01)

Solution of the First Boundary-Value Problem for a System of Autonomous Second-Order Linear Partial Differential Equations of Parabolic Type with a Single Delay
by: Josef Diblík, et al.
Published: (2012-01-01)

Conditional Stability and Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R2
by: Josef Diblík, et al.
Published: (2017-01-01)

Delay-Dependent Exponential Stability for Uncertain Neutral Stochastic Systems with Mixed Delays and Markovian Jumping Parameters
by: Huabin Chen
Published: (2012-01-01)

Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay
by: Weihua Mao, et al.
Published: (2012-01-01)

Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays
by: Manlika Rajchakit, et al.
Published: (2012-01-01)

An Explicit Criterion for the Existence of Positive Solutions of the Linear Delayed Equation x˙(t)=−c(t)x(t−τ(t))
by: J. Baštinec, et al.
Published: (2011-01-01)

Almost Surely Exponential Stability of Numerical Solutions for Stochastic Pantograph Equations
by: Shaobo Zhou
Published: (2014-01-01)

Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay
by: Chunge Lu, et al.
Published: (2014-01-01)

Stochastically Globally Exponential Stability of Stochastic Impulsive Differential Systems with Discrete and Infinite Distributed Delays Based on Vector Lyapunov Function
by: Xiaoyan Liu, et al.
Published: (2020-01-01)

Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed Delays
by: Chuangxia Huang, et al.
Published: (2010-01-01)

Exponential Stabilization for Timoshenko Beam with Distributed Delay in the Boundary Control
by: Xiu Fang Liu, et al.
Published: (2013-01-01)

Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems
by: Xiaoyan Qin
Published: (2013-01-01)

Solving the Linear 1D Thermoelasticity Equations with Pure Delay
by: Denys Ya. Khusainov, et al.
Published: (2015-01-01)

Exponential Stability of Stochastic Delayed Neural Networks with Inverse Hölder Activation Functions and Markovian Jump Parameters
by: Yingwei Li, et al.
Published: (2014-01-01)

Stability of Stochastic Differential Delay Systems with Delayed Impulses
by: Yanlei Wu
Published: (2014-01-01)

Representation of a Solution of the Cauchy Problem for an Oscillating System with Multiple Delays and Pairwise Permutable Matrices
by: Josef Diblík, et al.
Published: (2013-01-01)

Robust Exponential Stabilization of Stochastic Delay Interval Recurrent Neural Networks with Distributed Parameters and Markovian Jumping by Using Periodically Intermittent Control
by: Junhao Hu, et al.
Published: (2014-01-01)

A Final Result on the Oscillation of Solutions of the Linear Discrete Delayed Equation Δx(n)=−p(n)x(n−k) with a Positive Coefficient
by: J. Baštinec, et al.
Published: (2011-01-01)

Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time-Varying Delays
by: Yuanfu Shao, et al.
Published: (2012-01-01)

Periodic Solutions and Exponential Stability of a Class of Neural Networks with Time-Varying Delays
by: Yingxin Guo, et al.
Published: (2009-01-01)

Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control
by: Kaihong Zhao
Published: (2022-01-01)

Positivity of Fundamental Matrix and Exponential Stability of Delay Differential System
by: Alexander Domoshnitsky, et al.
Published: (2014-01-01)

Mean-Square Exponential Stability Analysis of Stochastic Neural Networks with Time-Varying Delays via Fixed Point Method
by: Tianxiang Yao, et al.
Published: (2014-01-01)

Global Exponential Stability of Antiperiodic Solutions for Discrete-Time Neural Networks with Mixed Delays and Impulses
by: Xiaofeng Chen, et al.
Published: (2012-01-01)

Existence and Exponential Stability of Periodic Solution for a Class of Generalized Neural Networks with Arbitrary Delays
by: Yimin Zhang, et al.
Published: (2009-01-01)

Existence and Global Exponential Stability of Periodic Solutions for General Neural Networks with Time-Varying Delays
by: Xinsong Yang
Published: (2008-01-01)

Stability of Analytical and Numerical Solutions for Nonlinear Stochastic Delay Differential Equations with Jumps
by: Qiyong Li, et al.
Published: (2012-01-01)

Switched Exponential State Estimation and Robust Stability for Interval Neural Networks with Discrete and Distributed Time Delays
by: Hongwen Xu, et al.
Published: (2012-01-01)

Global Exponential Stability of a Discrete-Time Rayleigh System with Delays
by: Bangyu Shen
Published: (2021-01-01)

Mean-Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time-Varying Delays by Pinning Control
by: Jingyi Wang, et al.
Published: (2012-01-01)

Stabilization of a Class of Stochastic Systems with Time Delays
by: Jian Wang, et al.
Published: (2014-01-01)

Global Robust Exponential Stability and Periodic Solutions for Interval Cohen-Grossberg Neural Networks with Mixed Delays
by: Yanke Du, et al.
Published: (2013-01-01)