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Optimization and control of dynamic ...

Gorecki, Henryk.

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Optimization and control of dynamic systems = foundations, main developments, examples and challenges /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimization and control of dynamic systems/ by Henryk Gorecki.
Reminder of title:	foundations, main developments, examples and challenges /
Author:	Gorecki, Henryk.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xxi, 666 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Some fundamental mathematical models -- Unconstrained extrema of functions -- Extrema subject to equality and inequality constraints -- Parametric Optimization of Continuous Linear Dynamic Systems -- Elements of variational calculus -- Maximum principle -- Elements of multicriteria optimization.
Contained By:	Springer eBooks
Subject:	Mathematical optimization. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-62646-8
ISBN:	9783319626468

Optimization and control of dynamic systems = foundations, main developments, examples and challenges /
Gorecki, Henryk.

Optimization and control of dynamic systemsfoundations, main developments, examples and challenges /[electronic resource] :by Henryk Gorecki. - Cham :Springer International Publishing :2018. - xxi, 666 p. :ill., digital ;24 cm. - Studies in systems, decision and control,v.1072198-4182 ;. - Studies in systems, decision and control ;v.107..

Introduction -- Some fundamental mathematical models -- Unconstrained extrema of functions -- Extrema subject to equality and inequality constraints -- Parametric Optimization of Continuous Linear Dynamic Systems -- Elements of variational calculus -- Maximum principle -- Elements of multicriteria optimization.

This book offers a comprehensive presentation of optimization and polyoptimization methods. The examples included are taken from various domains: mechanics, electrical engineering, economy, informatics, and automatic control, making the book especially attractive. With the motto "from general abstraction to practical examples," it presents the theory and applications of optimization step by step, from the function of one variable and functions of many variables with constraints, to infinite dimensional problems (calculus of variations), a continuation of which are optimization methods of dynamical systems, that is, dynamic programming and the maximum principle, and finishing with polyoptimization methods. It includes numerous practical examples, e.g., optimization of hierarchical systems, optimization of time-delay systems, rocket stabilization modeled by balancing a stick on a finger, a simplified version of the journey to the moon, optimization of hybrid systems and of the electrical long transmission line, analytical determination of extremal errors in dynamical systems of the rth order, multicriteria optimization with safety margins (the skeleton method), and ending with a dynamic model of bicycle. The book is aimed at readers who wish to study modern optimization methods, from problem formulation and proofs to practical applications illustrated by inspiring concrete examples.

ISBN: 9783319626468

Standard No.: 10.1007/978-3-319-62646-8doiSubjects--Topical Terms:

517763
Mathematical optimization.

LC Class. No.: QA402.5

Dewey Class. No.: 519.6

Optimization and control of dynamic systems = foundations, main developments, examples and challenges /
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505 0 $a Introduction -- Some fundamental mathematical models -- Unconstrained extrema of functions -- Extrema subject to equality and inequality constraints -- Parametric Optimization of Continuous Linear Dynamic Systems -- Elements of variational calculus -- Maximum principle -- Elements of multicriteria optimization.
520 $a This book offers a comprehensive presentation of optimization and polyoptimization methods. The examples included are taken from various domains: mechanics, electrical engineering, economy, informatics, and automatic control, making the book especially attractive. With the motto "from general abstraction to practical examples," it presents the theory and applications of optimization step by step, from the function of one variable and functions of many variables with constraints, to infinite dimensional problems (calculus of variations), a continuation of which are optimization methods of dynamical systems, that is, dynamic programming and the maximum principle, and finishing with polyoptimization methods. It includes numerous practical examples, e.g., optimization of hierarchical systems, optimization of time-delay systems, rocket stabilization modeled by balancing a stick on a finger, a simplified version of the journey to the moon, optimization of hybrid systems and of the electrical long transmission line, analytical determination of extremal errors in dynamical systems of the rth order, multicriteria optimization with safety margins (the skeleton method), and ending with a dynamic model of bicycle. The book is aimed at readers who wish to study modern optimization methods, from problem formulation and proofs to practical applications illustrated by inspiring concrete examples.
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