Stability of singularly perturbed nonlinear stochastic hybrid systems
DOI10.1080/07362994.2015.1135750zbMath1342.60091OpenAlexW2337613006MaRDI QIDQ2814776
Publication date: 23 June 2016
Published in: Stochastic Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/07362994.2015.1135750
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic stability in control theory (93E15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Cites Work
- Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect
- Singular perturbations and time-scale methods in control theory: Survey 1976-1983
- Robust \(\mathcal H_\infty\) stabilization of stochastic hybrid systems with Wiener process
- Weighted singularly perturbed hybrid stochastic systems
- Stability of hybrid stochastic delay systems whose discrete components have a large state space: a two-time-scale approach
- Hybrid switching diffusions. Properties and applications
- Singular perturbations and order reduction in control theory - an overview
- Control of singularly perturbed systems with Markovian jump parameters: An \(H_\infty\) approach
- Stability of stochastic differential equations with Markovian switching
- Moment exponential stability of random delay systems with two-time-scale Markovian switching
- Stabilization bound of singularly perturbed systems subject to actuator saturation
- Stability of regime-switching diffusions
- Exponential stability of a class of nonlinear singularly perturbed systems with delayed impulses
- Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations
- Analysis of Multiscale Methods for Stochastic Dynamical Systems with Multiple Time Scales
- On the Interplay of Singular Perturbations and Wide-Band Stochastic Fluctuations
- Stochastic feedback design for a class of non-linear singularly perturbed systems
- Approximation and decomposition of singularly perturbed stochastic hybrid systems
- Robust stability of singularly perturbed systems
- Averaging, aggregation and optimal control of singularly perturbed stochastic hybrid systems
- Exponential stability of singularly perturbed stochastic systems
- Asymptotic Properties of Input-Output Operators Norm Associated with Singularly Perturbed Systems with Multiplicative White Noise
- Control of singularly perturbed hybrid stochastic systems
- Composite stabilization of singularly perturbed stochastic hybrid systems
- Stability of hybrid dynamic systems containing singularly perturbed random processes
- Robust Stability of Two-Time-Scale Systems With Nonlinear Uncertainties
- Robust Sampled-Data<tex>$H_infty$</tex>Control of Linear Singularly Perturbed Systems
- Stability Analysis of Singularly Perturbed Switched Linear Systems
- Robust Stability of Singularly Perturbed Impulsive Systems Under Nonlinear Perturbation
- Stability of Stochastic Nonlinear Systems With State-Dependent Switching
This page was built for publication: Stability of singularly perturbed nonlinear stochastic hybrid systems