In this paper, we consider a minimization problem of a cost functional associated to a nonlinear evolution feedback control system with a given boundary condition which includes the periodic one as a particular case. Specifically, by using an existence result for a system of inclusions involving noncompact operators (see Ref. 1), we first prove that the solution set of our problem is nonempty. Then, from the topological properties of this set, we derive the existence of a solution of the minimization problem under consideration.

Kamenski, M., Nistri, P., Obukhovski, V., & Zecca, P. (1994). Optimal feedback control for a semilinear evolution equation. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 82(3), 503-517 [10.1007/BF02192215].

Optimal feedback control for a semilinear evolution equation

NISTRI, PAOLO;
1994

Abstract

In this paper, we consider a minimization problem of a cost functional associated to a nonlinear evolution feedback control system with a given boundary condition which includes the periodic one as a particular case. Specifically, by using an existence result for a system of inclusions involving noncompact operators (see Ref. 1), we first prove that the solution set of our problem is nonempty. Then, from the topological properties of this set, we derive the existence of a solution of the minimization problem under consideration.
Kamenski, M., Nistri, P., Obukhovski, V., & Zecca, P. (1994). Optimal feedback control for a semilinear evolution equation. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 82(3), 503-517 [10.1007/BF02192215].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/28855
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