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
.
Most widely held works by
M Bardi
Optimal control and viscosity solutions of HamiltonJacobiBellman 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 selfcontained account of the theory of viscosity solutions for firstorder partial differential equations of HamiltonJacobi 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 firstorder nonlinear PDEs. The work may be used by graduate students and researchers in control theory both as an introductory textbook and as an uptodate reference book. "The exposition is selfcontained, 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 uptodate 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
25 editions published between 1997 and 2013 in English and Italian and held by 302 WorldCat member libraries worldwide
This book is a selfcontained account of the theory of viscosity solutions for firstorder partial differential equations of HamiltonJacobi 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 firstorder nonlinear PDEs. The work may be used by graduate students and researchers in control theory both as an introductory textbook and as an uptodate reference book. "The exposition is selfcontained, 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 uptodate 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 1220, 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 stateoftheart 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
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 stateoftheart 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 BellmanIsaacs equations by
Olivier Alvarez(
Book
)
13 editions published between 2009 and 2010 in English and held by 191 WorldCat member libraries worldwide
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 twoperson, zerosum 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 JacobiIsaacsbriefiy HJItrying 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 lowdimensional 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 HamiltonJacobi equations, namely, viscosity solutions, by M.G. Crandall and P.L
11 editions published between 1997 and 1999 in English and held by 178 WorldCat member libraries worldwide
The theory of twoperson, zerosum 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 JacobiIsaacsbriefiy HJItrying 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 lowdimensional 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 HamiltonJacobi equations, namely, viscosity solutions, by M.G. Crandall and P.L
Special issue: MeanFieldGames(
Book
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
Right accessibility of semicontinuous initial data for HamiltonJacobi equations by
M Bardi(
)
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
Effect of proteinfree 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
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
1 edition published in 1982 in Undetermined and held by 1 WorldCat member library worldwide
Optimal control and viscosity solutions of HamiltonJacobiBellman by
M Bardi(
Book
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Special issue: MeanFieldGames(
Book
)
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
1 edition published in 2014 in English and held by 1 WorldCat member library worldwide
Lasar Segall, 18911957. 42 reproduçaões e depoimentos by
Lasar Segall(
Book
)
1 edition published in 1957 in Portuguese and held by 1 WorldCat member library worldwide
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
1 edition published in 1946 in French and held by 1 WorldCat member library worldwide
Right accessibility of semicontinuous initial data for HamiltonJacobi equations by
M Bardi(
Book
)
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
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
1 edition published in 1995 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Capuzzo Dolcetta, I. (Italo) 1948 Other Editor
 Lions, P. L. (PierreLouis) Other Editor
 Centro internazionale matematico estivo Other
 Alvarez, Olivier 1969 Author
 Raghavan, T. E. S. Editor
 Parthasarathy, T. Editor
 Centro internazionale matematico estivo Session 1995 : MontecatiniTerme, Italie)
 SpringerLink (Service en ligne)
 School on Viscosity Solutions and Applications 1995 Montecatini Terme
 Başar, Tamer Author of introduction Author
Associated Subjects
Artists Botticelli, Sandro, Brazil Control theory Differential equations, Elliptic Differential equations, Partial Differential games Distribution (Probability theory) HamiltonJacobi equationsNumerical solutions Jewish artists Mathematical optimization Mathematics Segall, Lasar, Singular perturbations (Mathematics) Stochastic processes Viscosity solutions
Alternative Names
Bardi, M.
Bardi, M. 1956
Bardi, Martino
Languages
Covers