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General Problem Statement from Optimal Control

2 Optimal control problem

2 Optimal control problem

... most general case (omitting switches in the states and/or vector field), it is convenient to divide the time domain into a series of M subdo- mains so that the time coordinates are t j ∈ I j = [t 0 + (t f − t 0 ) ...

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A Probabilistic Algorithm for Optimal Control Problem

A Probabilistic Algorithm for Optimal Control Problem

... subintervals from the search space and adds them to a complimentary search space, and then bisects the best subinterval to retain the number of subintervals while sharing the probability related to both best and ...

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A Non-Classical Optimal Control Problem

A Non-Classical Optimal Control Problem

...   10 Note that in the function f does not depend on y T   in the classical setting, which is, f z  0. All things considered (10) lessens to the outstanding normal boundary condition f y   T y T , %     , y T % ...

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Optimal control for the obstacle problem with state constraints

Optimal control for the obstacle problem with state constraints

... the optimal control problem ...the problem (1.1)- (1.3) which is significant from the point of view of numerical ...a general form of the first order necessary ...

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Robust Optimal Control for a Consumption-investment Problem

Robust Optimal Control for a Consumption-investment Problem

... α , x > 0, with risk aversion parameter α < 0. Here, we will discuss the case α > 0, which is more difficult than the case α < 0 and requires completely different methods. We will moreover allow for intertemporal ...

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On the Solution of a Optimal Control Problem for a Hyperbolic System

On the Solution of a Optimal Control Problem for a Hyperbolic System

... the problem of determining the control function that is at the right hand side of a hyperbolic system from the final observation is ...the optimal solution are ...

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An optimal control approach to the Unit Commitment problem

An optimal control approach to the Unit Commitment problem

... suffers from the dimensionality problem, not only in computational time, but also in storage ...the problem becomes too complex as the number of units increases and there are some difficulties in ...

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A Singular Differential Equation Stemming from an Optimal Control Problem in Financial Economics

A Singular Differential Equation Stemming from an Optimal Control Problem in Financial Economics

... In the current paper we focus on the intricacies of the initial value problem (0.1), (0.2). The implication of the results for the underlying optimal control problem is a delicate issue left ...

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The Effects of Control Domain Size on Optimal Control Problem of Monodomain Model

The Effects of Control Domain Size on Optimal Control Problem of Monodomain Model

... for Test Cases 1 and 2. As shown in Figure 4, the gradient for Test Case 1 is decreased sharply at the beginning of optimization process, followed by a smooth decrease to the end. On the other hand, the gradient for Test ...

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Optimal control of the thermistor problem in three spatial dimensions

Optimal control of the thermistor problem in three spatial dimensions

... the optimal solution of the unconstrained optimization, while the lower belongs to the state-constrained optimal solution, with the upper bound θ max = 1700 K marked by the dashed ...obtained from ...

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A Parametric Approach to Non Convex Optimal Control Problem

A Parametric Approach to Non Convex Optimal Control Problem

... The control problem is to transfer the state variable from an initial state x 0 at t 0 to a final state x f at t f so as to optimize (maximize or minimize) a given functional subject to constraints ...

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Singular Optimal Control Problem of Stochastic Switching Systems

Singular Optimal Control Problem of Stochastic Switching Systems

... Singular Optimal Control Problem of Stochastic Switching Systems Charkaz Aghayeva and Melis Alpaslan Abstract—The work is concerned with singular stochastic op- timal control problem of ...

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An elliptic optimal control problem and its two relaxations

An elliptic optimal control problem and its two relaxations

... results from the theory of free boundary problems, we prove that the solutions satisfy an important qualitative ...the problem from a large function space to a more manageable space of three-valued ...

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A minimum effort optimal control problem for the wave equation.

A minimum effort optimal control problem for the wave equation.

... 7 Numerical examples In this section we present numerical examples confirming the theoretical results from above. In the first three examples we consider the convergence behaviour of the Newton iteration in the ...

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A shape optimal control problem with changing sign data

A shape optimal control problem with changing sign data

... of problem in general one should not expect the existence of an optimal domain, since minimizing sequences could be made of finely perforated domains, leading at the limit to existence of only ...

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On The Fractional Optimal Control Problem with Free End Point

On The Fractional Optimal Control Problem with Free End Point

... Feedback control laws can be found for a linear dynamic systems, where a quadratic performance index J is to minimized with free end final time T (see [16], ...The statement of the problem is to ...

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Random Search. Statement of the Problem of Optimal Design. Basic Concepts and Definitions

Random Search. Statement of the Problem of Optimal Design. Basic Concepts and Definitions

... In these studies investigated the local properties of a variety of random search algorithms, mostly locally- adaptive, are evaluating the effectiveness of the considered algorithms. Is researched the integral behavior of ...

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Statement of the problem

Statement of the problem

... A country which wants to develop in terms of innovative orientation of the global economic system, stimulates domestic consumption, aggregative investment in innovative development, public procurement (including in ...

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Statement of the problem

Statement of the problem

... and general issues which included in the scope covered by the ...group from the point of view of legality, compliance with the precedents and rules of the WTO within 60 ...

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STATEMENT OF THE PROBLEM

STATEMENT OF THE PROBLEM

... REVIEW OF LITERATURE: Bincy .R (2012).Conducted a pre experimental study among 30 critical care unit nurses working in Medical College Hospital in Kerala, India to assess the effects of stress management intervention ...

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