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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/4387 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/4387 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/4387 archive 351 disk0/00/00/52/61 2016-01-15 02:09:03 2021-08-27 17:16:06 2016-01-15 02:09:03 monograph show 2 Mordukhovich B.S. 7482 pub iis_mod iis_sys prog_dyn Optimization problems for discrete and differential inclusions have many important applications and generalize both standard and nonstandard models in optimal control for open-loop and closed-loop control systems. In this paper we consider optimal control problems for dynamic systems governed by such inclusions with general endpoint constraints. We provide a variational analysis of differential inclusions based on their finite difference approximations and recent results in nonsmooth analysis. Using these techniques, we obtain refined necessary optimality conditions for nonconvex-valued discrete and differential inclusions in a general setting. These conditions are expressed in terms of robust nonconvex generalized derivatives for nonsmooth mappings and multifunctions. We also provide a brief survey of recent results in this direction. 1997-06 published IR-97-030 IR-97-030 1461 public interim_report IIASA, Laxenburg, Austria 22 FALSE info:eu-repo/semantics/book