05734nam 22006855 450 991047893220332120210915122631.00-8176-4755-410.1007/978-0-8176-4755-1(CKB)1000000000777928(SSID)ssj0000325405(PQKBManifestationID)11243690(PQKBTitleCode)TC0000325405(PQKBWorkID)10320948(PQKB)10693686(DE-He213)978-0-8176-4755-1(MiAaPQ)EBC3072302(PPN)237957108(EXLCZ)99100000000077792820101013d1997 u| 0engurcn#|||m|a|atxtrdacontentcrdamediacrrdacarrierOptimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations[electronic resource] /by Martino Bardi, Italo Capuzzo-Dolcetta1st ed. 1997.Boston, MA :Birkhäuser Boston :Imprint: Birkhäuser,1997.1 online resource (xvii, 574 pages) illustrationsModern Birkhäuser Classics,2197-1803Bibliographic Level Mode of Issuance: MonographIncludes bibliographical references and index.Outline of the main ideas on a model problem -- Continuous viscosity solutions of Hamilton-Jacobi equations -- Optimal control problems with continuous value functions: unrestricted state space -- Optimal control problems with continuous value functions: restricted state space -- Discontinuous viscosity solutions and applications -- Approximation and perturbation problems -- Asymptotic problems -- Differential Games.This book is a self-contained account of the theory of viscosity solutions for first-order partial differential equations of Hamilton–Jacobi type and its interplay with Bellman’s dynamic programming approach to optimal control and differential games, as it developed after the beginning of the 1980s with the pioneering work of M. Crandall and P.L. Lions. The book will be of interest to scientists involved in the theory of optimal control of deterministic linear and nonlinear systems. In particular, it will appeal to system theorists wishing to learn about a mathematical theory providing a correct framework for the classical method of dynamic programming as well as mathematicians interested in new methods for first-order nonlinear PDEs. The work may be used by graduate students and researchers in control theory both as an introductory textbook and as an up-to-date reference book. "The exposition is self-contained, clearly written and mathematically precise. The exercises and open problems…will stimulate research in the field. The rich bibliography (over 530 titles) and the historical notes provide a useful guide to the area." — Mathematical Reviews "With an excellent printing and clear structure (including an extensive subject and symbol registry) the book offers a deep insight into the praxis and theory of optimal control for the mathematically skilled reader. All sections close with suggestions for exercises…Finally, with more than 500 cited references, an overview on the history and the main works of this modern mathematical discipline is given." — ZAA "The minimal mathematical background...the detailed and clear proofs, the elegant style of presentation, and the sets of proposed exercises at the end of each section recommend this book, in the first place, as a lecture course for graduate students and as a manual for beginners in the field. However, this status is largely extended by the presence of many advanced topics and results by the fairly comprehensive and up-to-date bibliography and, particularly, by the very pertinent historical and bibliographical comments at the end of each chapter. In my opinion, this book is yet another remarkable outcome of the brilliant Italian School of Mathematics." — Zentralblatt MATH "The book is based on some lecture notes taught by the authors at several universities...and selected parts of it can be used for graduate courses in optimal control. But it can be also used as a reference text for researchers (mathematicians and engineers)...In writing this book, the authors lend a great service to the mathematical community providing an accessible and rigorous treatment of a difficult subject." — Acta Applicandae Mathematicae.Modern Birkhäuser Classics,2197-1803System theoryMathematical optimizationPartial differential equationsSystems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26008Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155System theory.Mathematical optimization.Partial differential equations.Systems Theory, Control.Optimization.Partial Differential Equations.51949L25msc35F20msc90D25mscBardi M(Martino).authttp://id.loc.gov/vocabula Mry/relators/aut62926Capuzzo-Dolcetta I.(Italo)m1948-.authttp://id.loc.gov/vocabulary/relators/autDLCDLCCaOWtUBOOK9910478932203321Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations374267UNINA04262nam 2200673Ia 450 991096115410332120200520144314.09786613627803978128059797812805979769780231503495023150349010.7312/mils12994(CKB)1000000000445294(EBL)909245(OCoLC)826476414(SSID)ssj0000208626(PQKBManifestationID)11189677(PQKBTitleCode)TC0000208626(PQKBWorkID)10243877(PQKB)10779745(MiAaPQ)EBC909245(DE-B1597)459140(OCoLC)243592159(OCoLC)704692638(DE-B1597)9780231503495(Au-PeEL)EBL909245(CaPaEBR)ebr10183514(CaONFJC)MIL362780(Perlego)775692(EXLCZ)99100000000044529420030415d2003 uy 0engurnn#---|u||utxtccrA natural history of the common law /S.F.C. MilsomNew York ;Chichester Columbia University Press20031 online resource (175 p.)Description based upon print version of record.9780231129947 0231129947 Includes bibliographical references and index.Front matter --Contents --Preface --Abbreviations --Introduction --Chronological List of Publications --I. MAKING LAW: LAWYERS AND LAYMEN --II. CHANGING LAW: FICTIONS AND FORMS --III. MANAGEMENT, CUSTOM, AND LAW --IV. HISTORY AND LOST ASSUMPTIONS --NOTES --INDEXHow does law come to be stated as substantive rules, and then how does it change? In this collection of discussions from the James S. Carpentier Lectures in legal history and criticism, one of Britain's most acclaimed legal historians S. F. C. Milsom focuses on the development of English common law-the intellectually coherent system of substantive rules that courts bring to bear on the particular facts of individual cases-from which American law was to grow. Milsom discusses the differences between the development of land law and that of other kinds of law and, in the latter case, how procedural changes allowed substantive rules first to be stated and then to be circumvented. He examines the invisibility of early legal change and how adjustment to conditions was hidden behind such things as the changing meaning of words. Milsom points out that legal history may be more prone than other kinds of history to serious anachronism. Nobody ever states his assumptions, and a legal writer, addressing his contemporaries, never provided a glossary to warn future historians against attributing their own meanings to his words and therefore their own assumptions to his world. Formal continuity has enabled nineteenth-century assumptions to be carried back, in some respects as far back as the twelfth century. This book brings together Milsom's efforts to understand the uncomfortable changes that lie beneath that comforting formal surface. Those changes were too large to have been intended by anyone at the time and too slow to be perceived by historians working within the short periods now imposed by historical convention. The law was made not by great men making great decisions but by man-sized men unconcerned with the future and thinking only about their own immediate everyday difficulties. King Henry II, for example, did not intend the changes attributed to him in either land law or criminal law; the draftsman of De Donis did not mean to create the entail; nobody ever dreamed up a fiction with intent to change the law.Common lawEnglandHistoryCommon lawHistoryCommon lawHistory.Common lawHistory.340.570942Milsom S. F. C(Stroud Francis Charles),1923-2016.1269405MiAaPQMiAaPQMiAaPQBOOK9910961154103321A natural history of the common law4536625UNINA