?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4526%2F&rft.title=Minimax+Control+of+Constrained+Parabolic+Systems&rft.creator=Mordukhovich%2C+B.S.&rft.creator=Zhang%2C+K.&rft.description=In+this+paper+we+formulate+and+study+a+minimax+control+problem+for+a+class+of+parabolic+systems+with+controlled+Dirichlet+boundary+conditions+and+uncertain+distributed+perturbations+under+pointwise+control+and+state+constraints.+We+prove+an+existence+theorem+for+minimax+solutions+and+develop+effective+penalized+procedures+to+approximate+state+constraints.+Based+on+a+careful+variational+analysis%2C+we+establish+convergence+results+and+optimality+conditions+for+approximating+problems+that+allow+us+to+characterize+suboptimal+solutions+to+the+original+minimax+problem+with+hard+constraints.+Then+passing+to+the+limit+in+approximations%2C+we+prove+necessary+optimality+conditions+for+the+minimax+problem+considered+under+proper+constraint+qualification+conditions.&rft.publisher=WP-95-070&rft.date=1995-07&rft.type=Monograph&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.identifier=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4526%2F1%2FWP-95-070.pdf&rft.identifier=++Mordukhovich%2C+B.S.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F1461.html%3E+%26+Zhang%2C+K.++(1995).++Minimax+Control+of+Constrained+Parabolic+Systems.+++IIASA+Working+Paper.+IIASA%2C+Laxenburg%2C+Austria%3A+WP-95-070+++++