Results 301 to 310 of about 6,326,277 (372)
Using Higher Diffraction Orders to Improve the Accuracy and Robustness of Overlay Measurements. [PDF]
Micromachines (Basel)Liu S +6 more
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Advanced laser pulse metrology through 2D self-referenced spectral interferometry. [PDF]
Sci RepOksenhendler T +6 more
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, 2012
This chapter represents the basic concepts of Classical Optimal Control related to the Maximum Principle. The formulation of the general optimal control problem in the Bolza (as well as in the Mayer and the Lagrange) form is presented. The Maximum Principle, which gives the necessary conditions of optimality, for various problems with a fixed and ...
V. Boltyanski, A. Poznyak
semanticscholar +3 more sources
This chapter represents the basic concepts of Classical Optimal Control related to the Maximum Principle. The formulation of the general optimal control problem in the Bolza (as well as in the Mayer and the Lagrange) form is presented. The Maximum Principle, which gives the necessary conditions of optimality, for various problems with a fixed and ...
V. Boltyanski, A. Poznyak
semanticscholar +3 more sources
The insulated conductivity problem, effective gradient estimates and the maximum principle
Mathematische Annalen, 2021We consider the insulated conductivity problem with two unit balls as insulating inclusions, a distance of order $$\varepsilon $$ ε apart. The solution u represents the electric potential. In dimensions $$n \ge 3$$ n ≥ 3 it is an open problem to find the
B. Weinkove
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The principle of maximum entropy
The Mathematical Intelligencer, 1985The authors point out that the ''principle of maximum entropy'' can be considered as a variational principle which has applications in statistical mechanics, in decision theory, in pattern-recognition and in time-series analysis. They explain this principle as follows: From the set of all probability distributions (for instance, the possible ...
Silviu Guiasu, Abe Shenitzer
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International Journal of Control, 1974
Abstract This paper presents a relatively simple proof of the maximum principle. The main objective has been to obtain a proof, similar to that due to Halkin, but replacing the use of Brouwer's fixed point theorem by an easily proven contraction mapping theorem.
David Q. Mayne, G. F. Bryant
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Abstract This paper presents a relatively simple proof of the maximum principle. The main objective has been to obtain a proof, similar to that due to Halkin, but replacing the use of Brouwer's fixed point theorem by an easily proven contraction mapping theorem.
David Q. Mayne, G. F. Bryant
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Numerical Methods for Partial Differential Equations, 2019
In this paper, we present two types of unconditionally maximum principle preserving finite element schemes to the standard and conservative surface Allen–Cahn equations. The surface finite element method is applied to the spatial discretization.
Xufeng Xiao, Ruijian He, Xinlong Feng
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In this paper, we present two types of unconditionally maximum principle preserving finite element schemes to the standard and conservative surface Allen–Cahn equations. The surface finite element method is applied to the spatial discretization.
Xufeng Xiao, Ruijian He, Xinlong Feng
semanticscholar +1 more source
SIAM Journal of Control and Optimization, 2018
In this paper, we develop a global form stochastic maximum principle for a Markov regime switching mean-field model driven by Brownian motions and Poisson jumps.
Xin Zhang, Zhongyang Sun, J. Xiong
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In this paper, we develop a global form stochastic maximum principle for a Markov regime switching mean-field model driven by Brownian motions and Poisson jumps.
Xin Zhang, Zhongyang Sun, J. Xiong
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1972
The values that an analytic function assumes in the different parts of its domain of existence are related to each other : they are connected by analytic continuation and it is impossible to modify the values in one part without inducing a change throughout.
Gabor Szegö, George Pólya
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The values that an analytic function assumes in the different parts of its domain of existence are related to each other : they are connected by analytic continuation and it is impossible to modify the values in one part without inducing a change throughout.
Gabor Szegö, George Pólya
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Mathematische Operationsforschung und Statistik. Series Optimization, 1979
A model of optimal control for discrete systems and the historical development of the discrete maximum principle are considered. The paper deals with local optimality conditions of the first order, e.g. with a local maximum-principle and a quasi-maximum principle. Furthermore, optimality conditions of higher order, e. g.
R. Gabasov, F. M. Kirillova
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A model of optimal control for discrete systems and the historical development of the discrete maximum principle are considered. The paper deals with local optimality conditions of the first order, e.g. with a local maximum-principle and a quasi-maximum principle. Furthermore, optimality conditions of higher order, e. g.
R. Gabasov, F. M. Kirillova
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