Download Book Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control Full in PDF

Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control

Publisher : Springer Science & Business Media
Release Date :
ISBN 13: 081764413X
Page : 304 pages
Rating : 4.6/5 (441 users)

Download PDF or read online Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control Book by Piermarco Cannarsa and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : * A comprehensive and systematic exposition of the properties of semiconcave functions and their various applications, particularly to optimal control problems, by leading experts in the field * A central role in the present work is reserved for the study of singularities * Graduate students and researchers in optimal control, the calculus of variations, and PDEs will find this book useful as a reference work on modern dynamic programming for nonlinear control systems

Download Book Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena Full in PDF

Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena

Publisher : Birkhäuser
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ISBN 13: 303488530X
Page : 402 pages
Rating : 4.8/5 (853 users)

Download PDF or read online Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena Book by Wolfgang Desch and published by Birkhäuser. This book was released on 2012-12-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : 22 papers on control of nonlinear partial differential equations highlight the area from a broad variety of viewpoints. They comprise theoretical considerations such as optimality conditions, relaxation, or stabilizability theorems, as well as the development and evaluation of new algorithms. A significant part of the volume is devoted to applications in engineering, continuum mechanics and population biology.

Download Book Recent Advances in Partial Differential Equations, Venice 1996 Full in PDF

Recent Advances in Partial Differential Equations, Venice 1996

Publisher : American Mathematical Soc.
Release Date :
ISBN 13: 0821806572
Page : 392 pages
Rating : 4.8/5 (65 users)

Download PDF or read online Recent Advances in Partial Differential Equations, Venice 1996 Book by Peter D. Lax and published by American Mathematical Soc.. This book was released on 1998 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : Lax and Nirenberg are two of the most distinguished mathematicians of our times. Their work on partial differential equations (PDEs) over the last half-century has dramatically advanced the subject and has profoundly influenced the course of mathematics. A huge part of the development in PDEs during this period has either been through their work, motivated by it or achieved by their postdocs and students. A large number of mathematicians honored these two exceptional scientists in a week-long conference in Venice (June 1996) on the occasion of their 70th birthdays. This volume contains the proceedings of the conference, which focused on the modern theory of nonlinear PDEs and their applications. Among the topics treated are turbulence, kinetic models of a rarefied gas, vortex filaments, dispersive waves, singular limits and blow-up of solutions, conservation laws, Hamiltonian systems, and others.The conference served as a forum for the dissemination of new scientific ideas and discoveries and enhanced scientific communication by bringing together such a large number of scientists working in related fields. The event allowed the international mathematics community to honor two of its outstanding members.

Download Book Introduction to Measure Theory and Functional Analysis Full in PDF

Introduction to Measure Theory and Functional Analysis

Publisher : Springer
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ISBN 13: 3319170198
Page : 314 pages
Rating : 4.1/5 (71 users)

Download PDF or read online Introduction to Measure Theory and Functional Analysis Book by Piermarco Cannarsa and published by Springer. This book was released on 2015-07-15 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures. This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra.

Download Book Mathematical Approach to Climate Change and its Impacts Full in PDF

Mathematical Approach to Climate Change and its Impacts

Publisher : Springer Nature
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ISBN 13: 3030386694
Page : 237 pages
Rating : 4.3/5 (866 users)

Download PDF or read online Mathematical Approach to Climate Change and its Impacts Book by Piermarco Cannarsa and published by Springer Nature. This book was released on 2020-03-16 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : This book presents important recent applied mathematics research on environmental problems and impacts due to climate change. Although there are inherent difficulties in addressing phenomena that are part of such a complex system, exploration of the subject using mathematical modelling is especially suited to tackling poorly understood issues in the field. It is in this spirit that the book was conceived. It is an outcome of the International INDAM Workshop “Mathematical Approach to Climate Change Impacts – MAC2I”, held in Rome in March 2017. The workshop comprised four sessions, on Ecosystems, Hydrology, Glaciology, and Monitoring. The book includes peer-reviewed contributions on research issues discussed during each of these sessions or generated by collaborations among the specialists involved. Accurate parameter determination techniques are explained and innovative mathematical modelling approaches, presented. The book also provides useful material and mathematical problem-solving tools for doctoral programs dealing with the complexities of climate change.

Download Book OPTIMIZATION AND OPERATIONS RESEARCH – Volume III Full in PDF

OPTIMIZATION AND OPERATIONS RESEARCH – Volume III

Publisher : EOLSS Publications
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ISBN 13: 1905839502
Page : 438 pages
Rating : 4.8/5 (395 users)

Download PDF or read online OPTIMIZATION AND OPERATIONS RESEARCH – Volume III Book by Ulrich Derigs and published by EOLSS Publications. This book was released on 2009-02-09 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : Optimization and Operations Research is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Optimization and Operations Research is organized into six different topics which represent the main scientific areas of the theme: 1. Fundamentals of Operations Research; 2. Advanced Deterministic Operations Research; 3. Optimization in Infinite Dimensions; 4. Game Theory; 5. Stochastic Operations Research; 6. Decision Analysis, which are then expanded into multiple subtopics, each as a chapter. These four volumes are aimed at the following five major target audiences: University and College students Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers and NGOs.

Download Book Analysis and Geometry in Control Theory and its Applications Full in PDF

Analysis and Geometry in Control Theory and its Applications

Publisher : Springer
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ISBN 13: 3319069179
Page : 235 pages
Rating : 4.0/5 (691 users)

Download PDF or read online Analysis and Geometry in Control Theory and its Applications Book by Piernicola Bettiol and published by Springer. This book was released on 2015-09-01 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, which are closely tied to research on applications. Today control theory is a rich source of basic abstract problems arising from applications, and provides an important frame of reference for investigating purely mathematical issues. In many fields of mathematics, the huge and growing scope of activity has been accompanied by fragmentation into a multitude of narrow specialties. However, outstanding advances are often the result of the quest for unifying themes and a synthesis of different approaches. Control theory and its applications are no exception. Here, the interaction between analysis and geometry has played a crucial role in the evolution of the field. This book collects some recent results, highlighting geometrical and analytical aspects and the possible connections between them. Applications provide the background, in the classical spirit of mutual interplay between abstract theory and problem-solving practice.

Download Book Mathematical Paradigms of Climate Science Full in PDF

Mathematical Paradigms of Climate Science

Publisher : Springer
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ISBN 13: 3319390929
Page : 228 pages
Rating : 4.3/5 (99 users)

Download PDF or read online Mathematical Paradigms of Climate Science Book by Fabio Ancona and published by Springer. This book was released on 2016-11-07 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science. It brings together some of the most interesting overview lectures given by the invited speakers at an important workshop held in Rome in 2013 as a part of MPE2013 (“Mathematics of Planet Earth 2013”). The aim of the workshop was to foster the interaction between climate scientists and mathematicians active in various fields linked to climate sciences, such as dynamical systems, partial differential equations, control theory, stochastic systems, and numerical analysis. Mathematics and statistics already play a central role in this area. Likewise, computer science must have a say in the efforts to simulate the Earth’s environment on the unprecedented scale of petabytes. In the context of such complexity, new mathematical tools are needed to organize and simplify the approach. The growing importance of data assimilation techniques for climate modeling is amply illustrated in this volume, which also identifies important future challenges.

Download Book Control of Partial Differential Equations Full in PDF

Control of Partial Differential Equations

Publisher : Springer
Release Date :
ISBN 13: 3642278930
Page : 344 pages
Rating : 4.2/5 (789 users)

Download PDF or read online Control of Partial Differential Equations Book by Fatiha Alabau-Boussouira and published by Springer. This book was released on 2012-04-23 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : The term “control theory” refers to the body of results - theoretical, numerical and algorithmic - which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. This monograph is concerned with models that can be described by partial differential equations of evolution. It contains five major contributions and is connected to the CIME Course on Control of Partial Differential Equations that took place in Cetraro (CS, Italy), July 19 - 23, 2010. Specifically, it covers the stabilization of evolution equations, control of the Liouville equation, control in fluid mechanics, control and numerics for the wave equation, and Carleman estimates for elliptic and parabolic equations with application to control. We are confident this work will provide an authoritative reference work for all scientists who are interested in this field, representing at the same time a friendly introduction to, and an updated account of, some of the most active trends in current research.

Download Book Trends in Control Theory and Partial Differential Equations Full in PDF

Trends in Control Theory and Partial Differential Equations

Publisher : Springer
Release Date :
ISBN 13: 3030179494
Page : 276 pages
Rating : 4.1/5 (794 users)

Download PDF or read online Trends in Control Theory and Partial Differential Equations Book by Fatiha Alabau-Boussouira and published by Springer. This book was released on 2019-07-04 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : This book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known examples are the study of the generalized solutions of Hamilton-Jacobi-Bellman equations arising in deterministic and stochastic optimal control and the development of modern analytical tools to study the controllability of infinite dimensional systems governed by PDEs. In the present volume, leading experts provide an up-to-date overview of the connections between these two vast fields of mathematics. Topics addressed include regularity of the value function associated to finite dimensional control systems, controllability and observability for PDEs, and asymptotic analysis of multiagent systems. The book will be of interest for both researchers and graduate students working in these areas.

Download Book Geometric Control and Nonsmooth Analysis Full in PDF

Geometric Control and Nonsmooth Analysis

Publisher :
Release Date :
ISBN 13: 9814472522
Page : pages
Rating : 4.4/5 (725 users)

Download PDF or read online Geometric Control and Nonsmooth Analysis Book by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis :

Download Book Optimal Control of Partial Differential Equations Full in PDF

Optimal Control of Partial Differential Equations

Publisher : Birkhäuser
Release Date :
ISBN 13: 3034886918
Page : 326 pages
Rating : 4.8/5 (869 users)

Download PDF or read online Optimal Control of Partial Differential Equations Book by Karl-Heinz Hoffmann and published by Birkhäuser. This book was released on 2012-12-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : The application of PDE-based control theory and the corresponding numerical algorithms to industrial problems have become increasingly important in recent years. This volume offers a wide spectrum of aspects of the discipline, and is of interest to mathematicians and scientists working in the field.

Download Book Control and Estimation of Distributed Parameter Systems Full in PDF

Control and Estimation of Distributed Parameter Systems

Publisher : Birkhäuser
Release Date :
ISBN 13: 303488849X
Page : 310 pages
Rating : 4.8/5 (884 users)

Download PDF or read online Control and Estimation of Distributed Parameter Systems Book by W. Desch and published by Birkhäuser. This book was released on 2012-12-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : Consisting of 23 refereed contributions, this volume offers a broad and diverse view of current research in control and estimation of partial differential equations. Topics addressed include, but are not limited to - control and stability of hyperbolic systems related to elasticity, linear and nonlinear; - control and identification of nonlinear parabolic systems; - exact and approximate controllability, and observability; - Pontryagin's maximum principle and dynamic programming in PDE; and - numerics pertinent to optimal and suboptimal control problems. This volume is primarily geared toward control theorists seeking information on the latest developments in their area of expertise. It may also serve as a stimulating reader to any researcher who wants to gain an impression of activities at the forefront of a vigorously expanding area in applied mathematics.

Download Book Stochastic Analysis, Control, Optimization and Applications Full in PDF

Stochastic Analysis, Control, Optimization and Applications

Publisher : Springer Science & Business Media
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ISBN 13: 1461217849
Page : 637 pages
Rating : 4.2/5 (178 users)

Download PDF or read online Stochastic Analysis, Control, Optimization and Applications Book by William M. McEneaney and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : In view of Professor Wendell Fleming's many fundamental contributions, his profound influence on the mathematical and systems theory communi ties, his service to the profession, and his dedication to mathematics, we have invited a number of leading experts in the fields of control, optimiza tion, and stochastic systems to contribute to this volume in his honor on the occasion of his 70th birthday. These papers focus on various aspects of stochastic analysis, control theory and optimization, and applications. They include authoritative expositions and surveys as well as research papers on recent and important issues. The papers are grouped according to the following four major themes: (1) large deviations, risk sensitive and Hoc control, (2) partial differential equations and viscosity solutions, (3) stochastic control, filtering and parameter esti mation, and (4) mathematical finance and other applications. We express our deep gratitude to all of the authors for their invaluable contributions, and to the referees for their careful and timely reviews. We thank Harold Kushner for having graciously agreed to undertake the task of writing the foreword. Particular thanks go to H. Thomas Banks for his help, advice and suggestions during the entire preparation process, as well as for the generous support of the Center for Research in Scientific Computation. The assistance from the Birkhauser professional staff is also greatly appreciated.

Download Book Inverse Problems and Related Topics Full in PDF

Inverse Problems and Related Topics

Publisher : Springer Nature
Release Date :
ISBN 13: 9811515921
Page : 307 pages
Rating : 4.5/5 (159 users)

Download PDF or read online Inverse Problems and Related Topics Book by Jin Cheng and published by Springer Nature. This book was released on 2020-02-04 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : This volume contains 13 chapters, which are extended versions of the presentations at International Conference on Inverse Problems at Fudan University, Shanghai, China, October 12-14, 2018, in honor of Masahiro Yamamoto on the occasion of his 60th anniversary. The chapters are authored by world-renowned researchers and rising young talents, and are updated accounts of various aspects of the researches on inverse problems. The volume covers theories of inverse problems for partial differential equations, regularization methods, and related topics from control theory. This book addresses a wide audience of researchers and young post-docs and graduate students who are interested in mathematical sciences as well as mathematics.

Download Book New Prospects in Direct, Inverse and Control Problems for Evolution Equations Full in PDF

New Prospects in Direct, Inverse and Control Problems for Evolution Equations

Publisher : Springer
Release Date :
ISBN 13: 3319114069
Page : 471 pages
Rating : 4.1/5 (14 users)

Download PDF or read online New Prospects in Direct, Inverse and Control Problems for Evolution Equations Book by Angelo Favini and published by Springer. This book was released on 2014-11-27 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have been studied intensively in theoretical research and are the source of an enormous number of applications. In this volume, particular attention is given to direct, inverse and control problems for EEs. The book provides an updated overview of the field, revealing its richness and vitality.

Download Book Optimization Methods in Partial Differential Equations Full in PDF

Optimization Methods in Partial Differential Equations

Publisher : American Mathematical Soc.
Release Date :
ISBN 13: 0821806041
Page : 349 pages
Rating : 4.8/5 (6 users)

Download PDF or read online Optimization Methods in Partial Differential Equations Book by Steven Cox and published by American Mathematical Soc.. This book was released on 1997 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt/synopsis : The problems considered range from basic theoretical issues in the calculus of variations - such as infinite dimensional Hamilton Jacobi equations, saddle point principles, and issues of unique continuation - to ones focusing on application and computation, where theoretical tools are tuned to more specifically defined problems.