Optimal Control of Nonconvex Differential Inclusions

Mordukhovich, B.S. (1997). Optimal Control of Nonconvex Differential Inclusions. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-97-030

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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.

Item Type: Monograph (IIASA Interim Report)
Research Programs: Dynamic Systems (DYN)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:09
Last Modified: 27 Aug 2021 17:16
URI: https://pure.iiasa.ac.at/5261

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