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INTRODUCTION TO OPTIMAL CONTROL THEORY
Kybernetes, 1985Optimal 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, 1977During 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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An optimal control theory for nonlinear optimization
Journal of Computational and Applied Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Optimization in Control Theory
2013This chapter introduces how a control design problem can be formulated as an optimization problem. To this end, the standard control problem as well as the notion of stabilizing controllers are first briefly reviewed. After that, some closed-loop system performance measures are presented, they are indeed unavoidable to evaluate the quality of a given ...
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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 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 for ambient pollution
International Journal of Control, 2010We study optimal control of systems of distributed parameters applied to problems of ambient pollution. The model consists of a parabolic partial differential equation that models the transport of a pollutant in an incompressible viscous fluid, with boundary conditions and initial value, that is in our model we consider the velocity that the pollutant ...
Santina de F. Arantes +1 more
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2015
The optimal control theory is the theoretical basis for the generation of control algorithms to reach and maintain the desired orbital and attitude reference trajectory . These algorithms need to have as input a partial or total information regarding the state of the system. In this chapter we will review the classic optimal control theory derived from
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The optimal control theory is the theoretical basis for the generation of control algorithms to reach and maintain the desired orbital and attitude reference trajectory . These algorithms need to have as input a partial or total information regarding the state of the system. In this chapter we will review the classic optimal control theory derived from
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2015
Exploration of the optimal control theoretic approach has been investigated. Here, our main aim is to minimize the cost as well as minimize the infected \(\mathrm{{CD4}}^{+}\)T cells and maximize the uninfected \(\mathrm{{CD4}}^{+}\)T cells. Moreover, optimal control strategy helps for successful immune reconstitution that can be achieved with increase
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Exploration of the optimal control theoretic approach has been investigated. Here, our main aim is to minimize the cost as well as minimize the infected \(\mathrm{{CD4}}^{+}\)T cells and maximize the uninfected \(\mathrm{{CD4}}^{+}\)T cells. Moreover, optimal control strategy helps for successful immune reconstitution that can be achieved with increase
openaire +1 more source