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JOURNALS // Bulletin of Irkutsk State University. Series Mathematics // Archive

Bulletin of Irkutsk State University. Series Mathematics, 2019 Volume 30, Pages 45–58 (Mi iigum394)

This article is cited in 1 paper

Dynamic systems and optimal control

Optimal control of differential inclusions, I: Lipschitzian case

B. S. Mordukhovich

Wayne State University, Detroit, USA

Abstract: We develop the method of discrete approximations to study optimal control problems for differential inclusions by using advanced tools of variational analysis and generalized differentiation. The first part describes the method, appropriate machinery of variational analysis and then presents the main result on necessary optimality conditions in maximum principle form for Lipschitzian differential inclusions.

Keywords: optimal control, Lipschitzian differential inclusions, variational analysis, discrete approximations, generalized differentiation.

UDC: 517.97

MSC: 49J52, 49J53, 49K24, 49M25, 90C30

Received: 05.10.2019

Language: English

DOI: 10.26516/1997-7670.2019.30.45



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