English, Article, Journal or magazine article edition: Optimal Control of Nonconvex Differential Inclusions. B.S. Mordukhovich

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Bookmark: http://trove.nla.gov.au/version/138328
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Optimal Control of Nonconvex Differential Inclusions.
Author
  • B.S. Mordukhovich
Physical Description
  • preprint
Notes
  • 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.
  • RePEc:wop:iasawp:ir97030
Language
  • English
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