Hierarchic control for the wave equation

DOI10.1007/s10957-018-1277-6zbMath1406.35173OpenAlexW2796539113WikidataQ130014930 ScholiaQ130014930MaRDI QIDQ1670021

Enrique Fernández-Cara, Luciano Cipriano da Silva, Fágner Dias Araruna

Publication date: 4 September 2018

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

Full work available at URL: https://doi.org/10.1007/s10957-018-1277-6

zbMATH Keywords

exact controllabilityNash equilibriumCarleman inequalitiesone leader and two followersStackelberg-Nash strategy

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Controllability (93B05) Wave equation (35L05) Second-order semilinear hyperbolic equations (35L71)

Related Items (11)

On the computation of Nash and Pareto equilibria for some bi-objective control problems for the wave equation ⋮ Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions ⋮ Hierarchical exact controllability of hyperbolic equations and Dunford-Pettis' theorem ⋮ Stackelberg-Nash null controllability for a non linear coupled degenerate parabolic equations ⋮ Hierarchical exact controllability of semilinear parabolic equations with distributed and boundary controls ⋮ Unnamed Item ⋮ On a multi-objective control problem for the Korteweg-de Vries equation ⋮ Numerical Stackelberg--Nash Control for the Heat Equation ⋮ Some numerical results for control of 3D heat equations using Nash equilibrium ⋮ Numerical vibration displacement solutions of fractional drawing self-excited vibration model based on fractional Legendre functions ⋮ Controllability for a one-dimensional wave equation in a non-cylindrical domain

Cites Work

• Hierarchic control
• New results on the Stackelberg-Nash exact control of linear parabolic equations
• On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
• Exact Controllability for Multidimensional Semilinear Hyperbolic Equations
• Approximate controllability of the semilinear heat equation
• On the approximate controllability of Stackelberg-Nash strategies for Stokes equations
• Stackelberg–Nash exact controllability for linear and semilinear parabolic equations

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