J William Helton's Books

Mathematical Methods in Systems, Optimization, and Control

Festschrift in Honor of J. William Helton

By: Harry Dym,Mauricio C. de Oliveira,Mihai Putinar

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Mathematical Methods in Systems, Optimization, and Control

Festschrift in Honor of J. William Helton

By: Harry Dym,Mauricio C. de Oliveira,Mihai Putinar

This volume is dedicated to Bill Helton on the occasion of his sixty fifth birthday. It contains biographical material, a list of Bill's publications, a detailed survey of Bill's contributions to operator theory, optimization and control and 19 technical articles. Most of the technical articles are expository and should serve as useful introductions to many of the areas which Bill's highly original contributions have helped to shape over the last forty odd years. These include interpolation, Szegö limit theorems, Nehari problems, trace formulas, systems and control theory, convexity, matrix completion problems, linear matrix inequalities and optimization. The book should be useful to graduate students in mathematics and engineering, as well as to faculty and individuals seeking entry level introductions and references to the indicated topics. It can also serve as a supplementary text to numerous courses in pure and applied mathematics and engineering, as well as a source book for seminars.

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364

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3034804113

ISBN 13

9783034804110

Classical Control Using H-infinity Methods

An Introduction to Design

By: J. William Helton,Orlando Merino

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Classical Control Using H-infinity Methods

An Introduction to Design

By: J. William Helton,Orlando Merino

This book teaches control system design using H8 methods. Students will find this book easy to use because it is conceptually simple. They will find it useful because of the widespread appeal of classical frequency domain methods.

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Page Count

168

Publisher

SIAM

Published Date

ISBN 10

0898714249

ISBN 13

9780898714241

Extending H-infinity Control to Nonlinear Systems

Control of Nonlinear Systems to Achieve Performance Objectives

By: J. William Helton,Matthew R. James

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Extending H-infinity Control to Nonlinear Systems

Control of Nonlinear Systems to Achieve Performance Objectives

By: J. William Helton,Matthew R. James

H-infinity control originated from an effort to codify classical control methods, where one shapes frequency response functions for linear systems to meet certain objectives. H-infinity control underwent tremendous development in the 1980s and made considerable strides toward systematizing classical control. This book addresses the next major issue of how this extends to nonlinear systems. At the core of nonlinear control theory lie two partial differential equations (PDEs). One is a first-order evolution equation called the information state equation, which constitutes the dynamics of the controller. One can view this equation as a nonlinear dynamical system. Much of this volume is concerned with basic properties of this system, such as the nature of trajectories, stability, and, most important, how it leads to a general solution of the nonlinear H-infinity control problem.

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Page Count

355

Publisher

SIAM

Published Date

ISBN 10

0898719844

ISBN 13

9780898719840

Harmonic Analysis and Applications

By: John J. Benedetto

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Harmonic Analysis and Applications

By: John J. Benedetto

Harmonic analysis plays an essential role in understanding a host of engineering, mathematical, and scientific ideas. In Harmonic Analysis and Applications, the analysis and synthesis of functions in terms of harmonics is presented in such a way as to demonstrate the vitality, power, elegance, usefulness, and the intricacy and simplicity of the subject. This book is about classical harmonic analysis - a textbook suitable for students, and an essay and general reference suitable for mathematicians, physicists, and others who use harmonic analysis. Throughout the book, material is provided for an upper level undergraduate course in harmonic analysis and some of its applications. In addition, the advanced material in Harmonic Analysis and Applications is well-suited for graduate courses. The course is outlined in Prologue I. This course material is excellent, not only for students, but also for scientists, mathematicians, and engineers as a general reference. Chapter 1 covers the Fourier analysis of integrable and square integrable (finite energy) functions on R. Chapter 2 of the text covers distribution theory, emphasizing the theory's useful vantage point for dealing with problems and general concepts from engineering, physics, and mathematics. Chapter 3 deals with Fourier series, including the Fourier analysis of finite and infinite sequences, as well as functions defined on finite intervals. The mathematical presentation, insightful perspectives, and numerous well-chosen examples and exercises in Harmonic Analysis and Applications make this book well worth having in your collection.

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357

Publisher

CRC Press

Published Date

ISBN 10

1000099083

ISBN 13

9781000099089

Supervisory Control of Concurrent Systems

A Petri Net Structural Approach

By: Marian Iordache,Panos J. Antsaklis

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Supervisory Control of Concurrent Systems

A Petri Net Structural Approach

By: Marian Iordache,Panos J. Antsaklis

This book addresses the design of such tools for correct-by-construction synthesis of supervisors for systems and specifications represented in the discrete-event framework. The approach employed uses Petri nets as discrete-event models and structural methods for the synthesis of supervisors, and may lead to significant computational benefits. Highlighting recent progress in the design of supervisors by structural methods, the book represents a novel contribution to the field. One of the main features of the presentation is the demonstration that structural methods can address a variety of supervisor specifications under diverse supervision settings.

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289

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817644881

ISBN 13

9780817644888

Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions

By: J. William Helton,Igor Klep,Scott McCullough,Markus Schweighofer

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Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions

By: J. William Helton,Igor Klep,Scott McCullough,Markus Schweighofer

An operator C on a Hilbert space H dilates to an operator T on a Hilbert space K if there is an isometry V:H→K such that C=V∗TV. A main result of this paper is, for a positive integer d, the simultaneous dilation, up to a sharp factor ϑ(d), expressed as a ratio of Γ functions for d even, of all d×d symmetric matrices of operator norm at most one to a collection of commuting self-adjoint contraction operators on a Hilbert space.

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Page Count

118

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470434555

ISBN 13

9781470434557

Operator Theory, Analytic Functions, Matrices, and Electrical Engineering

By: J. William Helton

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Operator Theory, Analytic Functions, Matrices, and Electrical Engineering

By: J. William Helton

Expands the lectures given at a regional conference in Lincoln, Nebraska which brought together a wide variety of scientists, pure mathematicians and engineers.

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Page Count

152

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821807188

ISBN 13

9780821807187

Journal of Fourier Analysis and Applications Special Issue

By: John J. Benedetto

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Journal of Fourier Analysis and Applications Special Issue

By: John J. Benedetto

The Journal of Fourier Analysis and Applications is a journal of the mathematical sciences devoted to Fourier analysis and its applications. The subject of Fourier analysis has had a major impact on the development of mathematics, on the understanding of many engineering and scientific phenomena, and on the solution of some of the most important problems in mathematics and the sciences. At the end of June 1993, a large Conference in Harmonic Analysis was held at the University of Paris-Sud at Orsay to celebrate the prominent role played by Jean-Pierre Kahane and his numerous achievements in this field. The large variety of topics discussed in this meeting, ranging from classical Harmonic Analysis to Probability Theory, reflects the intense mathematical curiosity and the broad mathematical interest of Jean-Pierre Kahane. Indeed, all of them are connected to his work. The mornings were devoted to plenary addresses while up to four parallel sessions took place in the afternoons. Altogether, there were about eighty speakers. This wide range of subjects appears in these proceedings which include thirty six articles.

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Page Count

668

Publisher

CRC Press

Published Date

ISBN 10

1000674150

ISBN 13

9781000674156

Equivariant Homotopy and Cohomology Theory

Dedicated to the Memory of Robert J. Piacenza

By: J. Peter May,M. Cole

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Equivariant Homotopy and Cohomology Theory

Dedicated to the Memory of Robert J. Piacenza

By: J. Peter May,M. Cole

This volume introduces equivariant homotopy, homology, and cohomology theory, along with various related topics in modern algebraic topology. It explains the main ideas behind some of the most striking recent advances in the subject. The works begins with a development of the equivariant algebraic topology of spaces culminating in a discussion of the Sullivan conjecture that emphasizes its relationship with classical Smith theory. The book then introduces equivariant stable homotopy theory, the equivariant stable homotopy category, and the most important examples of equivariant cohomology theories. The basic machinery that is needed to make serious use of equivariant stable homotopy theory is presented next, along with discussions of the Segal conjecture and generalized Tate cohomology. Finally, the book gives an introduction to "brave new algebra", the study of point-set level algebraic structures on spectra and its equivariant applications. Emphasis is placed on equivariant complex cobordism, and related results on that topic are presented in detail.

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384

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821803190

ISBN 13

9780821803196

Lectures on Division Algebras

By: David J. Saltman

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Lectures on Division Algebras

By: David J. Saltman

This volume is based on lectures on division algebras given at a conference held at Colorado State University. Although division algebras are a very classical object, this book presents this ""classical"" material in a new way, highlighting current approaches and new theorems, and illuminating the connections with a variety of areas in mathematics.

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130

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821809792

ISBN 13

9780821809792

Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces

By: Birgit Jacob,Hans J. Zwart

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Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces

By: Birgit Jacob,Hans J. Zwart

This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems. The textbook starts with elementary known results, then progresses smoothly to advanced topics in current research. Many physical systems can be formulated using a Hamiltonian framework, leading to models described by ordinary or partial differential equations. For the purpose of control and for the interconnection of two or more Hamiltonian systems it is essential to take into account this interaction with the environment. This book is the first textbook on infinite-dimensional port-Hamiltonian systems. An abstract functional analytical approach is combined with the physical approach to Hamiltonian systems. This combined approach leads to easily verifiable conditions for well-posedness and stability. The book is accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Moreover, the theory is illustrated by many worked-out examples.

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221

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3034803990

ISBN 13

9783034803991

Convex Functional Analysis

By: Andrew J. Kurdila,Michael Zabarankin

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Convex Functional Analysis

By: Andrew J. Kurdila,Michael Zabarankin

This volume is dedicated to the fundamentals of convex functional analysis. It presents those aspects of functional analysis that are extensively used in various applications to mechanics and control theory. The purpose of the text is essentially two-fold. On the one hand, a bare minimum of the theory required to understand the principles of functional, convex and set-valued analysis is presented. Numerous examples and diagrams provide as intuitive an explanation of the principles as possible. On the other hand, the volume is largely self-contained. Those with a background in graduate mathematics will find a concise summary of all main definitions and theorems.

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Page Count

238

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764373571

ISBN 13

9783764373573

Matrix Completions, Moments, and Sums of Hermitian Squares

By: Mihály Bakonyi,Hugo J. Woerdeman

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Matrix Completions, Moments, and Sums of Hermitian Squares

By: Mihály Bakonyi,Hugo J. Woerdeman

Intensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results in recent decades. This book provides a comprehensive account of this quickly developing area of mathematics and applications and gives complete proofs of many recently solved problems. With MATLAB codes and more than 200 exercises, the book is ideal for a special topics course for graduate or advanced undergraduate students in mathematics or engineering, and will also be a valuable resource for researchers. Often driven by questions from signal processing, control theory, and quantum information, the subject of this book has inspired mathematicians from many subdisciplines, including linear algebra, operator theory, measure theory, and complex function theory. In turn, the applications are being pursued by researchers in areas such as electrical engineering, computer science, and physics. The book is self-contained, has many examples, and for the most part requires only a basic background in undergraduate mathematics, primarily linear algebra and some complex analysis. The book also includes an extensive discussion of the literature, with close to 600 references from books and journals from a wide variety of disciplines.

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Page Count

533

Publisher

Princeton University Press

Published Date

ISBN 10

1400840597

ISBN 13

9781400840595

Shapes and Geometries

Metrics, Analysis, Differential Calculus, and Optimization, Second Edition

By: M. C. Delfour,J.-P. Zolesio

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Shapes and Geometries

Metrics, Analysis, Differential Calculus, and Optimization, Second Edition

By: M. C. Delfour,J.-P. Zolesio

Presents the latest groundbreaking theoretical foundation to shape optimization in a form accessible to mathematicians, scientists and engineers.

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Page Count

637

Publisher

SIAM

Published Date

ISBN 10

0898719364

ISBN 13

9780898719369

Introduction to Shape Optimization

Theory, Approximation, and Computation

By: J. Haslinger,R. A. E. Makinen

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Introduction to Shape Optimization

Theory, Approximation, and Computation

By: J. Haslinger,R. A. E. Makinen

Treats sizing and shape optimization in a comprehensive way, covering everything from mathematical theory through computational aspects to industrial applications.

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Page Count

276

Publisher

SIAM

Published Date

ISBN 10

0898715369

ISBN 13

9780898715361

Ergodic Theory, Groups, and Geometry

NSF-CBMS Regional Research Conferences in the Mathematical Sciences, June 22-26, 1998, University of Minnesota

By: Robert J. Zimmer,Dave Witte Morris

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Ergodic Theory, Groups, and Geometry

NSF-CBMS Regional Research Conferences in the Mathematical Sciences, June 22-26, 1998, University of Minnesota

By: Robert J. Zimmer,Dave Witte Morris

The study of group actions on manifolds is the meeting ground of a variety of mathematical areas. In particular, interesting geometric insights can be obtained by applying measure-theoretic techniques. This book provides an introduction to some of the important methods, major developments, and open problems in the subject. It is slightly expanded from lectures given by Zimmer at the CBMS conference at the University of Minnesota. The main text presents a perspective on the field as it was at that time. Comments at the end of each chapter provide selected suggestions for further reading, including references to recent developments."--BOOK JACKET.

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Page Count

103

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821809806

ISBN 13

9780821809808

The Theory of Information and Coding

A Mathematical Framework for Communication

By: Robert J. McEliece

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The Theory of Information and Coding

A Mathematical Framework for Communication

By: Robert J. McEliece

This is a self-contained introduction to the theory of information and coding. It can be used either for self-study or as the basis for a course at either the graduate or ,undergraduate level. The text includes dozens of worked examples and several hundred problems for solution.

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Page Count

236

Publisher

Westview Press

Published Date

ISBN 10

0201135027

ISBN 13

9780201135022

Fatal Army Air Forces Aviation Accidents in the United States, 1941-1945: August 1944-December 1945, appendices, indexes

By: Anthony J. Mireles

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Fatal Army Air Forces Aviation Accidents in the United States, 1941-1945: August 1944-December 1945, appendices, indexes

By: Anthony J. Mireles

During World War II, the air over the continental United States was a virtual third front. The little-known statistics are alarming: the Army Air Forces lost more than 4,500 aircraft in combat against Japanese army and naval air forces in the war. During the same time, the AAF lost more than 7,100 aircraft in the United States to accidents in training and transportation. Such accidents claimed the lives of more than 15,530 pilots, crewmembers and ground personnel, and the stories of their deaths are largely forgotten. This work chronicles the 6,350 known fatal AAF aircraft accidents that occurred in the continental United States from January 1941 through December 1945. Each crash summary, based on official records, provides details such as crash location and cause, the people involved and the type and number of aircraft. An aircraft serial number index, a record of AAF aircraft still listed as missing, crash statistics and a directory of AAF stations in the United States are included.

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Page Count

448

Published Date

ISBN 10

0786427906

ISBN 13

9780786427901

Book's by J William Helton

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