Exponential stability of singularly perturbed stochastic systems

DOI10.1109/9.847748zbMath0987.34054OpenAlexW2565805849MaRDI QIDQ4507065

Leslaw Socha

Publication date: 17 October 2000

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/9.847748

zbMATH Keywords

Lyapunov functionstochastic stability\(p\)-th moment exponential stabilitysingularly perturbed stochastic differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Ordinary differential equations and systems with randomness (34F05) Singular perturbations for ordinary differential equations (34E15)

Related Items (12)

Stabilizing composite control for a class of linear systems modeled by singularly perturbed Itô differential equations ⋮ LMI-based stability for singularly perturbed nonlinear impulsive differential systems with delays of small parameter ⋮ Exponential stability of a class of nonlinear singularly perturbed systems with delayed impulses ⋮ Stochastic stability of interconnected string systems ⋮ Robust stability of singularly perturbed descriptor systems with uncertain Markovian switchings and nonlinear perturbations ⋮ String stability of infinite-dimension stochastic interconnected large-scale systems with time-varying delay ⋮ Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect ⋮ String Stability of Singularly Perturbed Stochastic Systems ⋮ Robust sampled-dataH_∞control of uncertain singularly perturbed systems using time-dependent Lyapunov functionals ⋮ Stability Analysis of Stochastic Interconnected Systems by Vector Lyapunov Function Method ⋮ Exponential stability and exponential stabilization of singularly perturbed stochastic systems with time-varying delay ⋮ Stability of singularly perturbed nonlinear stochastic hybrid systems

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