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Titlebook: Mathematical Control Theory; An Introduction Jerzy Zabczyk Textbook 20081st edition Birkhäuser Boston 2008 control.control system.control t

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发表于 2025-3-21 19:49:09 | 显示全部楼层 |阅读模式
书目名称Mathematical Control Theory
副标题An Introduction
编辑Jerzy Zabczyk
视频video
概述Covers a remarkable number of topics in a concise manner.Includes material on the realization of both linear and nonlinear systems, impulsive control, and positive linear systems—subjects not usually
丛书名称Modern Birkhäuser Classics
图书封面Titlebook: Mathematical Control Theory; An Introduction Jerzy Zabczyk Textbook 20081st edition Birkhäuser Boston 2008 control.control system.control t
描述.Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. With the exception of a few more advanced concepts required for the final part of the book, this presentation requires only a knowledge of basic facts from linear algebra, differential equations, and calculus...In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems...The book will be ideal for a beginning graduate course in mathematical control theory, or for self study by professionals needing a complete picture of the mathematical theory that underlies the applications of control theory..
出版日期Textbook 20081st edition
关键词control; control system; control theory; dynamic programming; infinite dimensional linear systems; linear
版次1
doihttps://doi.org/10.1007/978-0-8176-4733-9
isbn_softcover978-0-8176-4732-2
isbn_ebook978-0-8176-4733-9Series ISSN 2197-1803 Series E-ISSN 2197-1811
issn_series 2197-1803
copyrightBirkhäuser Boston 2008
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发表于 2025-3-21 20:52:42 | 显示全部楼层
2197-1803 e control, and positive linear systems—subjects not usually .Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. With the exception of a few more advanced concepts required for the final part of the book,
发表于 2025-3-22 00:25:49 | 显示全部楼层
Textbook 20081st editionhe stabilization of infinite dimensional systems, and the solution of minimum energy problems...The book will be ideal for a beginning graduate course in mathematical control theory, or for self study by professionals needing a complete picture of the mathematical theory that underlies the applications of control theory..
发表于 2025-3-22 06:43:52 | 显示全部楼层
Introductionc models of control systems giving physical interpretation of the introduced parameters. The second part is not necessary for the understanding of the following considerations, although mathematical versions of the discussed models will often appear.
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Linear control systemso Hille and Yosida and to Lions are given. Abstract material is illustrated by self-adjoint and differential operators. The final section is devoted to nonhomogenous differential equations in Banach spaces which are the mathematical models of infinite dimensional control systems.
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Stability and stabilizabilityed by the spectrum of the generator. Then we will prove that stable systems are characterized by their corresponding Liapunov equations. It is also proved that null controllability implies stabilizability and that under additional conditions a converse implication takes place.
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