Time-domain boundedness of noise-to-state exponentially stable systems

DOI10.1051/cocv/2020037zbMath1461.93531arXiv1607.02800OpenAlexW3038033451MaRDI QIDQ5854398

Chuanhou Gao, Zhou Fang

Publication date: 17 March 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02800

zbMATH Keywords

stochastic differential equationloopnoise-to-state exponential stabilitypersistent noisetime-domain boundedness

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic stability in control theory (93E15) Exponential stability (93D23)

Related Items (1)

Noise-to-state exponentially stabilizing (state, input)-disturbed CSTRs with non-vanishing noise

Cites Work

• Unnamed Item
• Unnamed Item
• Stability certification of large scale stochastic systems using dissipativity
• Remarks on non explosion theorem for stochastic differential equations
• Stochastic stability and control
• Noise-to-State Exponentially Stable Distributed Convex Optimization on Weight-Balanced Digraphs
• $p$th Moment Noise-to-State Stability of Stochastic Differential Equations with Persistent Noise
• Noise-to-State Stability of Random Switched Systems and Its Applications
• Ergodic Properties of Recurrent Diffusion Processes and Stabilization of the Solution to the Cauchy Problem for Parabolic Equations
• An elementary proof of the strong law of large numbers
• Stabilization of stochastic nonlinear systems driven by noise of unknown covariance
• A Passive System Approach to Feedback Stabilization of Nonlinear Control Stochastic Systems
• Smooth stabilization implies coprime factorization
• Bounded stabilisation of stochastic port-Hamiltonian systems
• A Lyapunov Criterion for the Existence of Stationary Probability Distributions for Systems Perturbed by Noise

This page was built for publication: Time-domain boundedness of noise-to-state exponentially stable systems