Functional Analysis and Time Optimal Control [by] Henry Hermes [and] Joseph P. LaSalle

Functional Analysis and Time Optimal Control [by] Henry Hermes [and] Joseph P. LaSalle PDF Author: Henry Hermes
Publisher:
ISBN:
Category : Control theory
Languages : en
Pages : 136

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Functional Analysis and Time Optimal Control [by] Henry Hermes [and] Joseph P. LaSalle

Functional Analysis and Time Optimal Control [by] Henry Hermes [and] Joseph P. LaSalle PDF Author: Henry Hermes
Publisher:
ISBN:
Category : Control theory
Languages : en
Pages : 136

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Book Description


Functional Analysis and Time Optimal Control

Functional Analysis and Time Optimal Control PDF Author: Hermes
Publisher: Academic Press
ISBN: 0080955657
Category : Computers
Languages : en
Pages : 149

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Book Description
Functional Analysis and Time Optimal Control

Functional Analysis and Time Optimal Control

Functional Analysis and Time Optimal Control PDF Author: Henry Hermes
Publisher:
ISBN:
Category :
Languages : en
Pages : 142

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Book Description
The book is a self-contained exposition of the theory of time optimal control with emphasis on its development as an application of functional analysis. The areas of functional analysis discussed include convex sets and the Hahn-Banach theorem, dual variational problems, moment problems, weak topologies, and the Krein-Milman theorem. These discussions, in turn, yield results more germane to control theory such as the Liapunov theorem on the range of a vector measure, its equivalence to the LaSalle theorem, and extensions of each. In the treatment of linear time optimal control, emphasis is placed on the geometric interpretation of the necessary conditions, in terms of properties of the set of attainability and their relationship to Pontryagin's maximum principle and transversality conditions. Basic results for nonlinear time optimal control are included. (Author).

Functional Analysis and Time Optimal Control

Functional Analysis and Time Optimal Control PDF Author: Henry Hermes
Publisher:
ISBN:
Category : Control theory
Languages : en
Pages :

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Functional Analysis Amd Time Optimal Control

Functional Analysis Amd Time Optimal Control PDF Author: Henry Hermes
Publisher:
ISBN:
Category :
Languages : en
Pages : 136

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The Special Functions and Their Approximations

The Special Functions and Their Approximations PDF Author: Yudell L. Luke
Publisher: Academic Press
ISBN: 0080955606
Category : Mathematics
Languages : en
Pages : 373

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Book Description
A detailed and self-contained and unified treatment of many mathematical functions which arise in applied problems, as well as the attendant mathematical theory for their approximations. many common features of the Bessel functions, Legendre functions, incomplete gamma functions, confluent hypergeometric functions, as well as of otherw, can be derived. Hitherto, many of the material upon which the volumes are based has been available only in papers scattered throughout the literature.

Dictionary Catalog of the Department Library

Dictionary Catalog of the Department Library PDF Author: United States. Department of the Interior. Library
Publisher:
ISBN:
Category : Library catalogs
Languages : en
Pages : 734

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Network Flow, Transportation, and Scheduling; Theory and Algorithms

Network Flow, Transportation, and Scheduling; Theory and Algorithms PDF Author: Masao
Publisher: Academic Press
ISBN: 0080955665
Category : Computers
Languages : en
Pages : 333

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Book Description
Network Flow, Transportation, and Scheduling; Theory and Algorithms

Function Theoretic Methods in Partial Differential Equations

Function Theoretic Methods in Partial Differential Equations PDF Author: Gilbert
Publisher: Academic Press
ISBN: 0080955622
Category : Computers
Languages : en
Pages : 335

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Book Description
Function Theoretic Methods in Partial Differential Equations

Convex Structures and Economic Theory

Convex Structures and Economic Theory PDF Author: Hukukane Nikaido
Publisher: Elsevier
ISBN: 1483266680
Category : Mathematics
Languages : en
Pages : 422

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Book Description
Mathematics in Science and Engineering, Volume 51: Convex Structures and Economic Theory consists of an account of the theory of convex sets and its application to several basic problems that originate in economic theory and adjacent subject matter. This volume includes examples of problems pertaining to interesting static and dynamic phenomena in linear and nonlinear economic systems, as well as models initiated by Leontief, von Neumann, and Walras. The topics covered are the mathematical theorems on convexity, simple multisector linear systems, balanced growth in nonlinear systems, and efficient allocation and growth. The working of Walrasian competitive economies, special features of competitive economies, and Jacobian matrix and global univalence are also covered. This publication is suitable for advanced students of mathematical economics and related fields, but is also beneficial for anyone who wishes to become familiar with the basic ideas, methods, and results in the mathematical treatment in economic theory through a detailed exposition of a number of typical representative problems.