Dissipative control system for the stochastic nonlinear \(H^{\infty}\) problems

DOI10.1016/j.jmaa.2005.07.035zbMath1098.93035OpenAlexW2013526872MaRDI QIDQ819036

N. E. Zubov

Publication date: 22 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.07.035

zbMATH Keywords

Hamilton-Jacobi equationgeneralized Gaussian and viscosity solutions to PDEsstochastic nonlinear \(H^{\infty}\)-control

Mathematics Subject Classification ID

Stochastic systems in control theory (general) (93E03) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

Output feedback \(H^\infty\) control for a class of nonlinear stochastic systems

Cites Work

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• \(H^ \infty\) - optimal control and related minimax design problems. A dynamic game approach
• A partial differential inequality for dissipative nonlinear systems
• Dissipative dynamical systems. I: General theory
• On the Existence of Optimal Controls
• A Generalized Second-Order Derivative in Nonsmooth Optimization
• Optimal control of diffustion processes and hamilton-jacobi-bellman equations part I: the dynamic programming principle and application
• Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• A Probabilistic Approach to the Generalized Hessian
• User’s guide to viscosity solutions of second order partial differential equations
• Generalized Solutions of the Hamilton–Jacobi Equation of Stochastic Control

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