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Optimal Control: Existence Theory
2021This chapter deals with the question of existence of optimal controls from the class of regular controls (vector valued measurable functions), relaxed controls (measure-valued functions), and controls determined by vector measures, where both fully and partially observed control problems are considered.
N. U. Ahmed, Shian Wang
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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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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 Quantum Control Theory
Annual Review of Control, Robotics, and Autonomous Systems, 2021This article explains some fundamental ideas concerning the optimal control of quantum systems through the study of a relatively simple two-level system coupled to optical fields. The model for this system includes both continuous and impulsive dynamics. Topics covered include open- and closed-loop control, impulsive control, open-loop optimal control,
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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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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
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Optimization in Trusses Using Optimal Control Theory
Journal of the Structural Division, 1975A method is given for the optimum design of linearly elastic trusses which can be partitioned into a series of statically determinate substructures. In the case of such structures the design problem is formulated as a problem in optimal control theory. The member areas of substructures are treated as control variables and the interacting forces between
Narasingam M. Singaraj +1 more
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Optimal impulsive control theory
2005We present in this survey some of the main ideas concerning impulse control theory. We have chosen the following framework. The process is a non degenerate diffusion stopped at the exit of a bounded regular domain of Rn. The control is excited by impulses, which modify the state of the system instantaneously.
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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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Geometric Theory of Time-Optimal Control
SIAM Journal on Control, 1971Properties of the minimal-time function are considered for the problem of reaching the origin within (linear autonomous finite-dimensional) control systems. The function’s continuity is first established, leading to the construction of optimal feedback controls for normal systems.
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