Stochastic Well-Posed Systems and Well-Posedness of Some Stochastic Partial Differential Equations with Boundary Control and Observation

DOI10.1137/151002605zbMath1327.93358arXiv1501.01737OpenAlexW1517906251MaRDI QIDQ3457097

Qi Lü

Publication date: 10 December 2015

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

Full work available at URL: https://arxiv.org/abs/1501.01737

zbMATH Keywords

stochastic heat equationstochastic Schrödinger equationstochastic well-posed linear system

Mathematics Subject Classification ID

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

Related Items (7)

A semigroup approach to stochastic systems with input delay at the boundary ⋮ Partial Approximate Controllability for Linear Stochastic Control Systems ⋮ Lipschitz stability for a semi-linear inverse stochastic transport problem ⋮ A Functional Analytic Approach to Infinite Dimensional Stochastic Linear Systems ⋮ A stochastic optimal control problem governed by SPDEs via a spatial-temporal interaction operator ⋮ Passivity of boundary controlled and observed stochastic port-Hamiltonian systems subject to multiplicative and input noise ⋮ A concise introduction to control theory for stochastic partial differential equations

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