This paper concerns with the solution of optimal control problems by means of nonlinear programming methods. The direct transcription,by finite difference approximation, of the optimal control problem into a finite dimensional nonlinear programming problem is described.An iterative procedure for the solution of this nonlinear program is presented. An extensive numerical analysis of the behaviour of the method isreported on boundary control and distributed control problems with boundary conditions of Dirichlet or Neumann or mixed type.
Iterative solution of elliptic control problems with control and state constraints / Galligani, Emanuele. - In: ATTI DEL SEMINARIO MATEMATICO E FISICO DEL'UNIVERSITÀ DI MODENA E REGGIO EMILIA. - ISSN 1825-1269. - STAMPA. - LIII:(2005), pp. 365-408.
Iterative solution of elliptic control problems with control and state constraints
GALLIGANI, Emanuele
2005
Abstract
This paper concerns with the solution of optimal control problems by means of nonlinear programming methods. The direct transcription,by finite difference approximation, of the optimal control problem into a finite dimensional nonlinear programming problem is described.An iterative procedure for the solution of this nonlinear program is presented. An extensive numerical analysis of the behaviour of the method isreported on boundary control and distributed control problems with boundary conditions of Dirichlet or Neumann or mixed type.
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