?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%2F4498%2F&rft.title=The+Viability+Kernel+Algorithm+for+Computing+Value+Functions+of+Infinite+Horizon+Optimal+Control+Problems&rft.creator=Aubin%2C+J.-P.&rft.creator=Frankowska%2C+H.&rft.description=We+characterize+in+this+paper+the+epigraph+of+the+value+function+of+a+discounted+infinite+horizon+optimal+control+problem+as+the+viability+kernel+of+an+auxiliary+differential+inclusion.+Then+the+viability+kernel+algorithm+applied+to+this+problem+provides+the+value+function+of+the+discretized+optimal+control+problem+as+the+supremum+of+a+nondecreasing+sequence+of+functions+iteratively+defined.+We+also+use+the+fact+that+an+upper+Painleve-Kuratowski+limit+of+closed+viability+domains+is+a+viability+domain+to+prove+the+convergence+of+the+discrete+value+functions.&rft.publisher=WP-95-098&rft.date=1995-09&rft.type=Monograph&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.identifier=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4498%2F1%2FWP-95-098.pdf&rft.identifier=++Aubin%2C+J.-P.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F1134.html%3E+%26+Frankowska%2C+H.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F1884.html%3E++(1995).++The+Viability+Kernel+Algorithm+for+Computing+Value+Functions+of+Infinite+Horizon+Optimal+Control+Problems.+++IIASA+Working+Paper.+IIASA%2C+Laxenburg%2C+Austria%3A+WP-95-098+++++