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

Author

Listed:
  • Irada A. Dzhalladova
  • Jaromír Baštinec
  • Josef Diblík
  • Denys Y. Khusainov

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.

Suggested Citation

  • Irada A. Dzhalladova & Jaromír Baštinec & Josef Diblík & Denys Y. Khusainov, 2011. "Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:920412
    DOI: 10.1155/2011/920412
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    Cited by:

    1. Yuanfu Shao & Peiluan Li & Guoqiang Tang, 2012. "Dynamic Analysis of an Impulsive Predator‐Prey Model with Disease in Prey and Ivlev‐Type Functional Response," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Xuhui Bu & Fashan Yu & Ziyi Fu & Fuzhong Wang, 2013. "Stability Analysis of High‐Order Iterative Learning Control for a Class of Nonlinear Switched Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Shuping He & Fei Liu, 2012. "Adaptive Observer‐Based Fault Estimation for Stochastic Markovian Jumping Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Zheng Wu & Hao Huang & Lianglong Wang, 2012. "Stochastic Delay Logistic Model under Regime Switching," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. Manlika Rajchakit & Grienggrai Rajchakit, 2012. "Mean Square Exponential Stability of Stochastic Switched System with Interval Time‐Varying Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    6. Zheng Wu & Hao Huang & Lianglong Wang, 2012. "Exponential Stability of Impulsive Stochastic Functional Differential Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    7. Yuanfu Shao & Changjin Xu & Qianhong Zhang, 2012. "Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time‐Varying Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

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