Hierarchical control for the wave equation with a moving boundary

DOI10.1007/s10957-016-0984-0zbMath1354.35177OpenAlexW2499815172MaRDI QIDQ727243

Isaías Pereira de Jesus

Publication date: 6 December 2016

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-016-0984-0

zbMATH Keywords

approximate controllabilityoptimality systemhierarchical controlStackelberg strategy

Mathematics Subject Classification ID

Controllability (93B05) Asymptotic behavior of solutions to PDEs (35B40) Hierarchical systems (93A13) Microeconomic theory (price theory and economic markets) (91B24) PDEs in connection with control and optimization (35Q93)

Related Items (5)

Nash equilibria strategies and equivalent single-objective optimization problems: the case of linear partial differential equations ⋮ Hierarchical control for the one-dimensional plate equation with a moving boundary ⋮ Some numerical results for control of 3D heat equations using Nash equilibrium ⋮ Global existence and numerical simulations for a thermoelastic diffusion problem in moving boundary ⋮ Approximate controllability for a one-dimensional wave equation with the fixed endpoint control

Cites Work

• Exact controllability for a wave equation with fixed boundary control
• Functional analysis, Sobolev spaces and partial differential equations
• Hierarchic control
• Nash equilibria for the multiobjective control of linear partial differential equations
• Pointwise control of the Burgers equation and related Nash equilibrium problems: Computational approach
• Controllability for a wave equation with moving boundary
• Exact controllability for a one-dimensional wave equation in non-cylindrical domains
• Remarks on hierarchic control
• Remarks on hierarchic control for the wave equation in moving domains
• Nash equilibria in noncooperative predator-prey games
• Non-cooperative games
• Control and Stabilization for the Wave Equation, Part III: Domain with Moving Boundary
• SOME REMARKS ON STACKELBERG’S OPTIMIZATION
• On the approximate controllability of Stackelberg-Nash strategies for Stokes equations
• Stackelberg–Nash exact controllability for linear and semilinear parabolic equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hierarchical control for the wave equation with a moving boundary