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＜電子ブック＞
Set-Theoretic Methods in Control / by Franco Blanchini, Stefano Miani
(Systems & Control: Foundations & Applications. ISSN:23249757)

版	1st ed. 2008.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	2008
本文言語	英語
大きさ	XV, 487 p : online resource
著者標目	*Blanchini, Franco author Miani, Stefano author SpringerLink (Online service)
件　名	LCSH:Control engineering LCSH:System theory LCSH:Control theory LCSH:Robotics LCSH:Automation LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Computational intelligence FREE:Control and Systems Theory FREE:Systems Theory, Control FREE:Control, Robotics, Automation FREE:Calculus of Variations and Optimization FREE:Mathematical and Computational Engineering Applications FREE:Computational Intelligence
一般注記	Lyapunov and Lyapunov-like functions -- Convex sets and their representation -- Invariant sets -- Dynamic programming -- Set-theoretic analysis of dynamic systems -- Control of parameter-varying systems -- Control with time-domain constraints -- (Sub-)Optimal control -- Set-theoretic estimation -- Related topics This self-contained monograph describes basic set-theoretic methods for control and provides a discussion of their links to fundamental problems in Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. New computer technology has catalyzed a resurgence of research in this area, particularly in the development of set-theoretic techniques, many of which are computationally demanding. The work presents several established and potentially new applications, along with numerical examples and case studies. A key theme of the presentation is the trade-off between exact (but computationally intensive) and approximate (but conservative) solutions to problems. Mathematical language is kept to the minimum necessary for the adequate formulation and statement of main concepts. Numerical algorithms for the solution of the proposed problems are described in detail. Set-Theoretic Methods in Control is accessible to readers familiar with the basics of systems and control theory; prerequisites such as convexity theory are included. The text provides a solid foundation of mathematical techniques and applications and also features avenues for further theoretical study. Aimed primarily at graduate students and researchers in applied mathematics and engineering, the book will also appeal to practitioners since it contains extensive references to the literature and supplies many recipes for solving significant control problems HTTP:URL=https://doi.org/10.1007/978-0-8176-4606-6

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