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Obstacle control problem and the unilateral eigenvalue problem of an elastic pseudoplate

Lovisek J.

Control and Cybernetics

2003

Vol. 32, no 2

259-300

This paper concerns an obstacle control problem of an elastic pseudoplate. The state problem is modelled by a semi-coercive variational inequality, where the control variable enters the coefficients of linear operator and a linear functional. Moreover, we consider the state eigenvalue problem for a minimal first eigenvalue associated with the vibration of pseudoplate. Existence of an optimal control is verified. Finally, approximate solutions with some convergence analysis are provided.