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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2021 / Cilt: 11 - Sayı: 2

The optimality principle for second-order discrete and discrete-approximate inclusions

Sevilay DEMİR SAĞLAM
Pages
206–215
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, a discrete linear model and an example of second-order discrete inclusions in which a set-valued mapping is described by a nonlinear inequality show the applications of these results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper deals with the necessary and sufficient conditions of optimality for the Mayer problem of second-order discrete and discrete-approximate inclu sions.
📊
Key Findings & Data:The main problem is to establish the approximation of second-order viability problems for differential inclusions with endpoint constraints.
💡
Conclusion & Impact:Also, a discrete linear model and an example of second-order discrete inclusions in which a set-valued mapping is described by a nonlinear inequality show the applications of these results.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This paper deals with the necessary and sufficient conditions of optimality for the Mayer problem of second-order discrete and discrete-approximate inclu sions. The main problem is to establish the approximation of second-order viability problems for differential inclusions with endpoint constraints. Thus, as a supplementary problem, we study the discrete approximation problem and give the optimality conditions incorporating the Euler-Lagrange inclusions and distinctive transversality conditions. Locally adjoint mappings (LAM) and equivalence theorems are the fundamental principles of achieving these opti mal conditions, one of the most characteristic properties of such approaches with second-order differential inclusions that are specific to the existence of LAMs equivalence relations. Also, a discrete linear model and an example of second-order discrete inclusions in which a set-valued mapping is described by a nonlinear inequality show the applications of these results.

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Cite This Article

SAĞLAM, S. D. (2022). The optimality principle for second-order discrete and discrete-approximate inclusions. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 11 - Sayı: 2, 206–215. https://ajindex.com/articles/440554

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