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Optimal Control Theory

2021
After introducing the Solow and Robinson-Crusoe models as examples of real business cycle models—analogous to the equations of motion in physics—we derive the Bellman equation to find a control law for a parameter that optimizes a performance measure.
Zhongjing Ma, Suli Zou
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Theory and Practice of the Optimal Controllers

IFAC Proceedings Volumes, 1987
Abstract This paper is a summary of our research work for seven years in applying the theory of optimal control to the excitation system of a generator (Optimal Excitation Controller, OEC). It analyzes problems of OEC by means of digital simulating and physical modelling.
Wang Zhonghong   +3 more
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INTRODUCTION TO OPTIMAL CONTROL THEORY

Kybernetes, 1985
Optimal Control theory is concerned with the problem of how to govern systems. Its purpose is to determine the best actions by which a given system can reach or maintain a particular state, these control actions being submitted to particular conditions called “constraints”.
Cherruault, Y., Gallego, J.
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Sufficient Conditions in Optimal Control Theory

International Economic Review, 1977
During the last ten years or so a large number of papers in professional journals in economics dealing with dynamic optimization problems have been employing the modern version of the calculus of variations called optimal control theory. The central result in the theory is the well known Pontryagin maximum principle providing necessary conditions for ...
Seierstad, Atle, Sydsaeter, Knut
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Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order r∈(1,2)

Optimal control applications & methods, 2022
This article investigates the issue of optimal control and approximate controllability results for fractional integrodifferential evolution equations with infinite delay of r∈(1,2) in Banach space. In the beginning, we analyze approximate controllability
M. Mohan Raja   +5 more
semanticscholar   +1 more source

An optimal control theory for nonlinear optimization

Journal of Computational and Applied Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimal Control Theory

2018
Optimal Control Theory is reviewed in detail. We consider a dynamic system that operates between a specified initial time and a final time which may be specified or unspecified. Necessary conditions for a minimum cost functional are derived. Terminal constraints are considered. Pontryagin Minimum Principle is discussed.
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Optimal Control Theory

1981
The theory of optimal control is one of the major areas of application of mathematics today. From its early inception to meet the demands of automatic control system design in engineering, it has grown steadily in scope and now has spread to many other far removed areas such as economics.
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