This paper is concerned with the optimal control of the parabolic p-Laplace equation with lower order reaction terms. The autonomous equation is shown to be exponentially stable with respect to the square integral norm. On the basis of this result, the task of reference tracking using a distributed control input is investigated and, in particular, the optimal control problem associated to the minimization of a power functional is addressed.
Distributed optimal control of degenerate reaction-diffusion equations / Aquilanti, L.; Cristofaro, A.. - (2019), pp. 1938-1943. (Intervento presentato al convegno 18th European Control Conference, ECC 2019 tenutosi a Napoli; Italy) [10.23919/ECC.2019.8796084].
Distributed optimal control of degenerate reaction-diffusion equations
Aquilanti L.
;Cristofaro A.
2019
Abstract
This paper is concerned with the optimal control of the parabolic p-Laplace equation with lower order reaction terms. The autonomous equation is shown to be exponentially stable with respect to the square integral norm. On the basis of this result, the task of reference tracking using a distributed control input is investigated and, in particular, the optimal control problem associated to the minimization of a power functional is addressed.| File | Dimensione | Formato | |
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