Hierarchic Control for the Wave Equation
This paper deals with the hierarchical control of the wave equation. We use Stackelberg–Nash strategies. As usual, we consider one leader and two followers. To each leader we associate a Nash equilibrium corresponding to a bi-objective optimal control problem; then, we look for a leader that solves an exact controllability problem. We consider linear and semilinear equations.
KeywordsWave equation Exact controllability Stackelberg–Nash strategy Carleman inequalities
Mathematics Subject Classification35L05 90C29 93B05
Fágner Dias Araruna has been partially supported by INCTMat, CAPES, CNPq (Brazil), and MathAmSud COSIP. Enrique Fernández-Cara has been partially supported by Grant MTM2016-76990-P (DGI-MICINN, Spain) and CAPES (Brazil). Luciano Cipriano da Silva has been partially supported by CAPES (Brazil).
- 4.Araruna, F.D., Fernández-Cara, E., da Silva, L.C.: Hierarchic control for exact controllability of parabolic equations with distributed and boundary controls. (2018) (preprint)Google Scholar