WorldCat Identities

Bardi, M. (Martino)

Overview
Works: 14 works in 79 publications in 5 languages and 1,279 library holdings
Genres: Conference papers and proceedings  Exhibition catalogs 
Roles: Author, Editor, Other
Classifications: QA316, 515.64
Publication Timeline
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Most widely held works by M Bardi
Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations by M Bardi( Book )

25 editions published between 1997 and 2013 in English and Italian and held by 302 WorldCat member libraries worldwide

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
Viscosity solutions and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 12-20, 1995 by M Bardi( Book )

20 editions published in 1997 in English and German and held by 286 WorldCat member libraries worldwide

The volume comprises five extended surveys on the recent theory of viscosity solutions of fully nonlinear partial differential equations, and some of its most relevant applications to optimal control theory for deterministic and stochastic systems, front propagation, geometric motions and mathematical finance. The volume forms a state-of-the-art reference on the subject of viscosity solutions, and the authors are among the most prominent specialists. Potential readers are researchers in nonlinear PDE's, systems theory, stochastic processes
Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations by Olivier Alvarez( Book )

13 editions published between 2009 and 2010 in English and held by 191 WorldCat member libraries worldwide

Stochastic and differential games : theory and numerical methods by Tamer Başar( Book )

11 editions published between 1997 and 1999 in English and held by 178 WorldCat member libraries worldwide

The theory of two-person, zero-sum differential games started at the be ginning of the 1960s with the works of R. Isaacs in the United States and L.S. Pontryagin and his school in the former Soviet Union. Isaacs based his work on the Dynamic Programming method. He analyzed many special cases of the partial differential equation now called Hamilton Jacobi-Isaacs-briefiy HJI-trying to solve them explicitly and synthe sizing optimal feedbacks from the solution. He began a study of singular surfaces that was continued mainly by J. Breakwell and P. Bernhard and led to the explicit solution of some low-dimensional but highly nontriv ial games; a recent survey of this theory can be found in the book by J. Lewin entitled Differential Games (Springer, 1994). Since the early stages of the theory, several authors worked on making the notion of value of a differential game precise and providing a rigorous derivation of the HJI equation, which does not have a classical solution in most cases; we mention here the works of W. Fleming, A. Friedman (see his book, Differential Games, Wiley, 1971), P.P. Varaiya, E. Roxin, R.J. Elliott and N.J. Kalton, N.N. Krasovskii, and A.I. Subbotin (see their book Po sitional Differential Games, Nauka, 1974, and Springer, 1988), and L.D. Berkovitz. A major breakthrough was the introduction in the 1980s of two new notions of generalized solution for Hamilton-Jacobi equations, namely, viscosity solutions, by M.G. Crandall and P.-L
Special issue: Mean-Field-Games( Book )

1 edition published in 2013 in English and held by 1 WorldCat member library worldwide

Right accessibility of semicontinuous initial data for Hamilton-Jacobi equations by M Bardi( )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

Effect of protein-free diet on growth of the skeletal units of the rat mandible by R. M Alippi( )

1 edition published in 1984 in English and held by 1 WorldCat member library worldwide

Albatros '80 : antologia italiana per la scuola media con letture epiche( Book )

1 edition published in 1982 in Undetermined and held by 1 WorldCat member library worldwide

Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman by M Bardi( Book )

1 edition published in 1997 in English and held by 1 WorldCat member library worldwide

Special issue: Mean-Field-Games( Book )

1 edition published in 2014 in English and held by 1 WorldCat member library worldwide

Lasar Segall, 1891-1957. 42 reproduçaões e depoimentos by Lasar Segall( Book )

1 edition published in 1957 in Portuguese and held by 1 WorldCat member library worldwide

Le printemps de Sandro Botticelli by Sandro Botticelli( Book )

1 edition published in 1946 in French and held by 1 WorldCat member library worldwide

Right accessibility of semicontinuous initial data for Hamilton-Jacobi equations by M Bardi( Book )

1 edition published in 2003 in English and held by 1 WorldCat member library worldwide

New Trends in Dynamic Games and Applications by Tamer Başar( )

1 edition published in 1995 in English and held by 0 WorldCat member libraries worldwide

 
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Viscosity solutions and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 12-20, 1995
Alternative Names
Bardi, M.

Bardi, M. 1956-

Bardi, Martino

Languages
Covers
Viscosity solutions and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 12-20, 1995Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equationsStochastic and differential games : theory and numerical methods