Absolute stability approach to stochastic stability of infinite-dimensional nonlinear systems

DOI10.1016/0005-1098(95)00063-3zbMath0840.93094OpenAlexW2059594444MaRDI QIDQ1902578

V. A. Brusin, Valery A. Ugrinovskii

Publication date: 4 July 1996

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(95)00063-3

zbMATH Keywords

Lyapunov functionabsolute stabilitystochastic partial differential equationsoperatorKalman-Yakubovich lemma

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Popov-type stability of feedback systems (93D10) Stochastic stability in control theory (93E15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (2)

Stochastic problems of absolute stability ⋮ A historical essay on the scientific school of V. A. Yakubovich

Cites Work

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• Stochastic stability of a class of nonlinear differential equations of Ito type
• Global stability and dichotomy of a class of nonlinear systems with random parameters
• Stability of semilinear stochastic evolution equations
• Equations of Lur'e in Hilbert space and their solvability
• Frequency-domain criteria for stability of a class of nonlinear stochastic systems
• Absolute stability of a stochastic evolution equationt†
• Semilinear stochastic evolution equations: boundedness, stability and invariant measurest
• Equivalence of Lp stability and exponential stability for a class of nonlinear semigroups
• Dynamic Programming Approach to Stochastic Evolution Equations
• The Infinite-Dimensional Riccati Equation for Systems Defined by Evolution Operators
• Robustness of feedback-stabilized systems in the presence of non-linear and random perturbations

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