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100   $a20200102d2019      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aDirect Methods in Control Problems$b[electronic resource] /$fby Peter Falb
205   $a1st ed. 2019.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Birkhäuser,$d2019.
215   $a1 online resource (XIII, 311 p. 14 illus.) 
311   $a0-8176-4722-8 
320   $aIncludes bibliographical references and index.
327   $aPart I. Introduction -- Introductory Remarks -- Historical Perspective -- Outline of Contents -- Part II. Problem Statement -- Deterministic Systems -- Stochastic Systems -- General Problem -- Part III. The Direct Method Approach: Generalities -- General Approach -- Gradient and Integration Methods -- Representation Methods -- Part IV. Gradient and Integration Methods in Control Problems -- Computation of Gradients for ODE Problems -- Computation of Gradients for PDE Problems -- Integration Methods -- Part V. Representation Methods -- Ritz?Galerkin Expansion -- Karhunen?Loeve Expansion -- Lévy Processes -- Bibliography -- Index .
330   $aThe primary focus of this book is on explicating the direct method approach. Historically, direct methods have not been fully exploited in control problems. The key is constructing convergent minimizing families. Integration methods (for example the gradient method) and representation methods (such as the Ritz-Galerkin and Finite Element methods) are examined in this text in an abstract (with concrete examples) functional analytic way. The aim is to consider direct methods from a unified general point of view and to provide a stimulus for future research. Explicitly, implicitly and by example, potential areas of research interest are indicated. The book is a suitable reference for graduate students, researchers, applied mathematicians, and control engineers. Some of the material is of independent mathematical interest. The work may be used as a text for a graduate course or seminar on direct methods in control. A degree of mathematical sophistication and some knowledge of control theory is required.
606   $aSystem theory
606   $aControl engineering
606   $aRobotics
606   $aMechatronics
606   $aCalculus of variations
606   $aApproximation theory
606   $aProbabilities
606   $aComputer mathematics
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aControl, Robotics, Mechatronics$3https://scigraph.springernature.com/ontologies/product-market-codes/T19000
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
606   $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X
615  0$aSystem theory.
615  0$aControl engineering.
615  0$aRobotics.
615  0$aMechatronics.
615  0$aCalculus of variations.
615  0$aApproximation theory.
615  0$aProbabilities.
615  0$aComputer mathematics.
615 14$aSystems Theory, Control.
615 24$aControl, Robotics, Mechatronics.
615 24$aCalculus of Variations and Optimal Control; Optimization.
615 24$aApproximations and Expansions.
615 24$aProbability Theory and Stochastic Processes.
615 24$aComputational Mathematics and Numerical Analysis.
676   $a515.642
700   $aFalb$b Peter$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767825
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910370252903321
996   $aDirect Methods in Control Problems$91733825
997   $aUNINA