On the optimal control problem governed by the equations of von Kármán. I. The homogeneous Dirichlet boundary conditions
Igor Bock, Ivan Hlaváček, Ján Lovíšek (1984)
Aplikace matematiky
Similarity:
A control of the system of nonlinear Kármán's equations for a thin elastic plate with clamped edge is considered. The transversal loading plays the role of the control variable. The set of admissible controls is chosen in a way guaranteeing the unique solvability of the state function with respect to the control variable is proved. A disscussion of uniqueness of the optimal control and some necessary conditions of optimality are presented.