Notions of exponential robust stochastic stability, ISS and their Lyapunov characterizations

DOI10.1002/rnc.724zbMath1049.93086OpenAlexW2050693590MaRDI QIDQ4797957

John Spiliotis, John Tsinias

Publication date: 10 March 2003

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.724

zbMATH Keywords

Lyapunov functionsinput-to-state stabilityexponential global uniform asymptotic stability in the \(r\)th meanRobust stochastic stability

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Input-output approaches in control theory (93D25) Robust stability (93D09) Stochastic stability in control theory (93E15)

Related Items (13)

A notion of stability in probability of stochastic nonlinear systems ⋮ On exponential stability of composite stochastic control systems ⋮ Input-to-state stability for nonlinear systems with stochastic impulses ⋮ Small-gain control method for stochastic nonlinear systems with stochastic iISS inverse dynamics ⋮ Stability of stochastic nonlinear systems in cascade with not necessarily unbounded decay rates ⋮ Adaptive output feedback control for a class of stochastic nonlinear systems with SiISS inverse dynamics ⋮ Monotonicity Methods for Input-to-State Stability of Nonlinear Parabolic PDEs with Boundary Disturbances ⋮ Exponential input-to-state stability of composite stochastic systems ⋮ Output feedback control using small-gain conditions for stochastic nonlinear systems with SiISS inverse dynamics ⋮ Stabilization of some composite stochastic control systems with nontrivial solutions ⋮ Exponential stability of some interconnected stochastic control systems with non-trivial equilibria ⋮ Further results on output-feedback regulation of stochastic nonlinear systems with SiISS inverse dynamics ⋮ Razumikhin-type theorems on general decay stability and robustness for stochastic functional differential equations

Cites Work

• Stabilization of nonlinear uncertain systems
• Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation

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