A Small-Gain Theorem for Random Dynamical Systems with Inputs and Outputs

DOI10.1137/140991340zbMath1417.93293arXiv1207.1690OpenAlexW1949293998MaRDI QIDQ2945608

Michael Marcondes de Freitas, Eduardo D. Sontag

Publication date: 14 September 2015

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.1690

zbMATH Keywords

random dynamical systemscontrol systemssmall-gain theorems

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) Stochastic systems in control theory (general) (93E03) Realizations from input-output data (93B15)

Related Items (5)

Existence of unstable stationary solutions for nonlinear stochastic differential equations with additive white noise ⋮ Global Stability of Feedback Systems with Multiplicative Noise on the Nonnegative Orthant ⋮ Global stability of stationary solutions for a class of semilinear stochastic functional differential equations with additive white noise ⋮ Monotone dynamical systems: reflections on new advances \& applications ⋮ A Small-Gain Theorem for Nonlinear Stochastic Systems with Inputs and Outputs I: Additive White Noise

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