Results 11 to 20 of about 699 (184)
Invariant Geometric Curvilinear Optimization with Restricted Evolution Dynamics
Mathematics, 2021 This paper begins with a geometric statement of constraint optimization problems, which include both equality and inequality-type restrictions. The cost to optimize is a curvilinear functional defined by a given differential one-form, while the optimal ...
Andreea Bejenaru
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Application of maximum principle to optimization of production and storage costs [PDF]
Archives of Control Sciences, 2021 A problem of optimization for production and storge costs is studied. The problem consists in manufacture of n types of products, with some given restrictions, so that the total production and storage costs are minimal.
Liviu Popescu, Ramona Dimitrov
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Contact geometry of the Pontryagin maximum principle [PDF]
Automatica, 2015 This paper gives a brief contact-geometric account of the Pontryagin maximum principle. We show that key notions in the Pontryagin maximum principle---such as the separating hyperplanes, costate, necessary condition, and normal/abnormal minimizers---have natural contact-geometric interpretations.
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REGULARIZATION OF PONTRYAGIN MAXIMUM PRINCIPLE IN OPTIMAL CONTROL OF DISTRIBUTED SYSTEMS
Ural Mathematical Journal, 2016 This article is devoted to studying dual regularization method applied to parametric convex optimal control problem of controlled third boundary–value problem for parabolic equation with boundary control and with equality and inequality pointwise state ...
Mikhail I. Sumin
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Pontryagin maximum principle and Stokes theorem [PDF]
Journal of Geometry and Physics, 2019 We present a new geometric unfolding of a prototype problem of optimal control theory, the Mayer problem. This approach is crucially based on the Stokes Theorem and yields to a necessary and sufficient condition that characterizes the optimal solutions, from which the classical Pontryagin Maximum Principle is derived in a new insightful way.
Cardin F., Spiro A.
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Theoretical Estimate of the Total Shelf Length in a Gas Fields Model
Open Computer Science, 2021 The authors consider a continuous dynamic approximating model of a gas fields group and, on its basis, set maximum and minimum issues. The tasks proposed for research are optimal control problems with mixed constraints with free-final-time and moving ...
Skiba Alexander K., Skiba Nadezhda K.
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Value range of solutions to the chordal Loewner equation with restriction on the driving function
Проблемы анализа, 2019 We consider a value range {g(i,T)} of solutions to the chordal Loewner equation with the restriction |λ(t)|
Zherdev A. V.
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E-Jurnal Matematika, 2020 In this paper, it is discussed about giving control variable to dynamic systems to process the spread of viruses on computers. The dynamic model describes the process of spreading viruses on the computer, where susceptible can be instantly removed and ...
ASMIANTO ASMIANTO +2 more
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Viral dynamics and control of hepatitis B virus (HBV) using an epidemic model
Alexandria Engineering Journal, 2020 In this research article, the authors intend to develop and analyze an epidemic model that describes the progression of acute and chronic HBV in a population. The threshold number R0 was obtained using the well-known next-generation matrix approach.
Anwarud Din, Yongjin Li, Qi Liu
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A sufficient condition for null controllability of nonlinear control systems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2009 Classical control methods such as Pontryagin Maximum Principle and Bang-Bang Principle and other methods are not usually useful for solving opti-mal control systems (OCS) specially optimal control of nonlinear systems (OCNS).
A. Heydari, A.V. Kamyad
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