Controllability and observability of some coupled stochastic parabolic systems

DOI10.3934/mcrf.2018037zbMath1417.93073OpenAlexW2889931338WikidataQ129109553 ScholiaQ129109553MaRDI QIDQ2001560

Xu Liu, Lingyang Liu

Publication date: 3 July 2019

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2018037

zbMATH Keywords

observabilitycontrollabilityCarleman estimatestochastic parabolic system

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Linear systems in control theory (93C05) Observability (93B07) Optimal stochastic control (93E20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (3)

Statistical null-controllability of stochastic nonlinear parabolic equations ⋮ Carleman estimates for a stochastic degenerate parabolic equation and applications to null controllability and an inverse random source problem ⋮ Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some results on the controllability of forward stochastic heat equations with control on the drift
• Recent results on the controllability of linear coupled parabolic problems: a survey
• Null controllability for the parabolic equation with a complex principal part
• Stochastic partial differential equations. A modeling, white noise functional approach
• Carleman estimates and controllability of linear stochastic heat equations
• Null controllability for some systems of two backward stochastic heat equations with one control force
• Controllability results for cascade systems of \(m\) coupled parabolic PDEs by one control force
• Null Controllability for Forward and Backward Stochastic Parabolic Equations
• Contróle Exact De Léquation De La Chaleur
• A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators
• $L^\infty$-Null Controllability for the Heat Equation and Its Consequences for the Time Optimal Control Problem
• Controllability of Some Coupled Stochastic Parabolic Systems with Fractional Order Spatial Differential Operators by One Control in the Drift
• Global Carleman estimate for stochastic parabolic equations, and its application
• Stochastic evolution equations
• Stochastic Equations in Infinite Dimensions

This page was built for publication: Controllability and observability of some coupled stochastic parabolic systems