A Small-Gain Theorem for Nonlinear Stochastic Systems with Inputs and Outputs I: Additive White Noise
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Publication:2821803
DOI10.1137/15M1044047zbMath1390.93725arXiv1510.04441OpenAlexW2963854991MaRDI QIDQ2821803
Publication date: 23 September 2016
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.04441
global stabilityrandom dynamical systemsstochastic equilibriumsmall-gain theoremstochastic control systemsinput and output
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear systems in control theory (93C10) Stochastic stability in control theory (93E15) Stochastic systems in control theory (general) (93E03) Generation, random and stochastic difference and differential equations (37H10)
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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, A Small-Gain Theorem for Nonlinear Stochastic Systems with Inputs and Outputs I: Additive White Noise, Invariant measure and random attractors for stochastic differential equations with delay
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