New results concerning the hierarchical control of linear and semilinear parabolic equations
DOI10.1051/cocv/2022011zbMath1492.35389OpenAlexW4210755616WikidataQ114011490 ScholiaQ114011490MaRDI QIDQ5066562
Luz de Teresa, José Antonio Villa, Bianca Morelli Rodolfo Calsavara, Enrique Fernández-Cara
Publication date: 29 March 2022
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/cocv/2022011
optimal controlcontrollabilityCarleman inequalitiesStackelberg strategieslinear and semilinear parabolic PDEs
Optimality conditions for problems involving partial differential equations (49K20) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Hierarchical systems (93A13) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear parabolic equations (35K58) PDEs in connection with control and optimization (35Q93)
Cites Work
- Recent results on the controllability of linear coupled parabolic problems: a survey
- Carleman estimates for parabolic equations with nonhomogeneous boundary conditions
- Nash equilibria for the multiobjective control of linear partial differential equations
- Pointwise control of the Burgers equation and related Nash equilibrium problems: Computational approach
- Stackelberg-Nash null controllability for some linear and semilinear degenerate parabolic equations
- New results on the Stackelberg-Nash exact control of linear parabolic equations
- Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
- On the penalised HUM approach and its applications to the numerical approximation of null-controls for parabolic problems
- SOME REMARKS ON STACKELBERG’S OPTIMIZATION
- The Mathematics of Financial Derivatives
- On the approximate controllability of Stackelberg-Nash strategies for Stokes equations
- Single input controllability of a simplified fluid-structure interaction model
- Stackelberg–Nash exact controllability for linear and semilinear parabolic equations
- Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: New results concerning the hierarchical control of linear and semilinear parabolic equations