Conjugate Points and Shocks in Nonlinear Optimal Control

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3928 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3928 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3928 archive 351 disk0/00/00/41/55 2016-01-15 02:04:24 2021-08-27 17:14:53 2016-01-15 02:04:24 monograph show 2 Frankowska H. AL0659 Caroff N. AL0550 Conjugate Points and Shocks in Nonlinear Optimal Control pub iis_cmp iis_met prog_dyn 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. 1994-07 published WP-94-056 WP-94-056 10 1884 1791 public working_paper IIASA, Laxenburg, Austria 19 FALSE info:eu-repo/semantics/book