Optimal Control of Elliptic Differential Inclusions with Dirichlet and Neumann Boundary Conditions

Mahmudov, Elimhan N.; Değer, Özkan

doi:10.1007/s10883-011-9114-3

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2023

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Cited by 4 publications

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“…This paper deals with optimal control problems described by polyhedral discrete and differential inclusions with delay constraints, and this class of problems is truly challenging and underinvestigated in control theory while being highly important for various applications; Moreau's sweeping process and Von Neumann-Gale dynamical systems, etc. Note that these problems also occur not only in mechanics, aerospace engineering, management science, and economy but also automatic control, auto vibration, and biophysics [19,34,35].…”

Section: Introductionmentioning

confidence: 99%

Polyhedral optimization of second-order discrete and differential inclusions with delay

Sağlam¹,

Mahmudov²

2021

Turk J Math

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The present paper studies the optimal control theory of second-order polyhedral delay discrete and delaydifferential inclusions with state constraints. We formulate the conditions of optimality for the problems with the secondorder polyhedral delay-discrete (P D d) and the delay-differential (P C d) in terms of the Euler-Lagrange inclusions and the distinctive "transversality" conditions. Moreover, some linear control problem with second-order delay differential inclusions is given to illustrate the effectiveness and usefulness of the main theoretic results.

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Section: Introductionmentioning

confidence: 99%