We deal with an optimal control problem for variational inequalities, where the monotone operators as well as the convex sets of possible states depend on the control parameter. The existence theorem for the optimal control will be applied to the optimal design problems for an elasto-plastic beam and an elastic plate, where a variable thickness appears as a control variable.
@article{104261, author = {Igor Bock and J\'an Lov\'\i \v sek}, title = {Optimal control problems for variational inequalities with controls in coefficients and in unilateral constraints}, journal = {Applications of Mathematics}, volume = {32}, year = {1987}, pages = {301-314}, zbl = {0638.49003}, mrnumber = {0897834}, language = {en}, url = {http://dml.mathdoc.fr/item/104261} }
Bock, Igor; Lovíšek, Ján. Optimal control problems for variational inequalities with controls in coefficients and in unilateral constraints. Applications of Mathematics, Tome 32 (1987) pp. 301-314. http://gdmltest.u-ga.fr/item/104261/
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