?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%2F4155%2F&rft.title=Conjugate+Points+and+Shocks+in+Nonlinear+Optimal+Control&rft.creator=Frankowska%2C+H.&rft.creator=Caroff%2C+N.&rft.description=In+this+paper+the+authors+use+the+method+of+characteristics+to+extend+the+Jacobi+conjugate+points+theory+to+the+Bolza+problem+arising+in+nonlinear+optimal+control.+This+yields+necessary+and+sufficient+optimality+conditions+for+weak+and+strong+local+minima+stated+in+terms+of+the+existence+of+a+solution+to+a+corresponding+matrix+Riccati+differential+equation.+The+same+approach+allows+to+investigate+as+well+smoothness+of+the+value+function.&rft.publisher=WP-94-056&rft.date=1994-07&rft.type=Monograph&rft.type=NonPeerReviewed&rft.format=text&rft.language=en&rft.identifier=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4155%2F1%2FWP-94-056.pdf&rft.identifier=++Frankowska%2C+H.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F1884.html%3E+%26+Caroff%2C+N.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F1791.html%3E++(1994).++Conjugate+Points+and+Shocks+in+Nonlinear+Optimal+Control.+++IIASA+Working+Paper.+IIASA%2C+Laxenburg%2C+Austria%3A+WP-94-056+++++