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Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect

  • Published:2010-10 Issue:5 Volume:11 Page:3463-3478
  • ISSN:1468-1218
  • Container-title:Nonlinear Analysis: Real World Applications
  • language:en
  • Short-container-title:Nonlinear Analysis: Real World Applications

Author:

Chen Wu-Hua,Chen Fu,Lu Xiaomei

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Economics, Econometrics and Finance,General Engineering,General Medicine,Analysis

Reference25 articles.

1. Quadratic-type Lyapunov functions for singularly perturbed systems;Saberi;IEEE Trans. Automat. Control,1984

2. On the exponential stability of singularly perturbed systems;Corless;SIAM J. Control Optim.,1992

3. Singular perturbations and input-to-state stability;Christofides;IEEE Trans. Automat. Control,1996

4. Exponential stability of singularly perturbed stochastic systems;Socha;IEEE Trans. Automat. Control,2000

5. Multivariable singularly perturbed feedback systems with time delay;Luse;IEEE Trans. Automat. Control,1987

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1. Asymptotic solutions of differential equations with singular impulses;CARPATHIAN J MATH;2024

2. ASYMPTOTIC EXPANSION OF THE SOLUTION FOR SINGULARPERTURBED LINEAR IMPULSIVE SYSTEMS;Journal of Mathematics, Mechanics and Computer Science;2024

3. A case of impulsive singularity;Journal of Mathematics, Mechanics and Computer Science;2023-03

4. Exponential stability of singularly perturbed systems with mixed impulses;Nonlinear Analysis: Hybrid Systems;2021-05

5. Dissipativity of Singularly Perturbed Lur’e Systems;IEEE Transactions on Circuits and Systems II: Express Briefs;2019-09
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