Hierarchic Control for the Wave Equation

Fágner Dias Araruna (), Enrique Fernández-Cara () and Luciano Cipriano Silva ()
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Fágner Dias Araruna: Universidade Federal da Paraíba
Enrique Fernández-Cara: Universidad de Sevilla
Luciano Cipriano Silva: Universidade Federal da Paraíba

Journal of Optimization Theory and Applications, 2018, vol. 178, issue 1, No 13, 264-288

Abstract: Abstract 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.

Keywords: Wave equation; Exact controllability; Stackelberg–Nash strategy; Carleman inequalities; 35L05; 90C29; 93B05 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-018-1277-6

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