Algebras of Holomorphic Functions and Control Theory

Algebras of Holomorphic Functions and Control Theory PDF Author: Amol Sasane
Publisher: Courier Corporation
ISBN: 0486153312
Category : Mathematics
Languages : en
Pages : 154

Get Book Here

Book Description
Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics. 2009 edition.

Algebras of Holomorphic Functions and Control Theory

Algebras of Holomorphic Functions and Control Theory PDF Author: Amol Sasane
Publisher: Courier Corporation
ISBN: 0486153312
Category : Mathematics
Languages : en
Pages : 154

Get Book Here

Book Description
Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics. 2009 edition.

Algebras of Holomorphic Functions and Control Theory

Algebras of Holomorphic Functions and Control Theory PDF Author: Amol Sasane
Publisher: Courier Corporation
ISBN: 0486474658
Category : Mathematics
Languages : en
Pages : 154

Get Book Here

Book Description
Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics. 2009 edition.

Extension Problems and Stable Ranks

Extension Problems and Stable Ranks PDF Author: Raymond Mortini
Publisher: Springer Nature
ISBN: 3030738728
Category : Mathematics
Languages : en
Pages : 2197

Get Book Here

Book Description
This self-contained encyclopedic monograph gives a detailed introduction to Bézout equations and stable ranks, encompassing and explaining needed topological, analytical, and algebraic tools and methods. Some of the highlights included are Carleson's corona theorem and the Bass, topological, and matricial stable ranks. The first volume focusses on topological structures, Banach algebras, and advanced function theory, thus preparing the stage for the algebraic structures in the second volume towards examining stable ranks with analytic methods. The main emphasis is laid on algebras of holomorphic functions. Often a new approach is presented or at least a different angle of sight, which makes the book attractive both for researchers and students interested in these active fields of research.

Contemporary Trends In Nonlinear Geometric Control Theory And Its Applications

Contemporary Trends In Nonlinear Geometric Control Theory And Its Applications PDF Author: Alfonso Anzaldo-meneses
Publisher: World Scientific
ISBN: 9814489468
Category : Mathematics
Languages : en
Pages : 495

Get Book Here

Book Description
Mathematical control theory has evolved from the study of practical problems in engineering and sciences to the elaboration of deep, important concepts in mathematics and applied sciences. This volume concerns contemporary trends in nonlinear geometric control theory and its applications. It is a fine collection of papers presenting new results, relevant open problems, and important applications regarding academic and real-world problems.The book is dedicated to Velimir Jurdjevic whose scientific activity has been influential in the research of many of the authors. It contains a number of articles specially written by colleagues and friends of Vel Jurdjevic, all of them leading applied mathematicians and control theorists. There is also place for surveys on topics of current research which present the state of the art of modern geometric control theory. Finally, the volume contains several new mathematical ideas generated by geometric control theory techniques, which may initiate new directions of research beyond control theory.

Positivity in Lie Theory

Positivity in Lie Theory PDF Author: Joachim Hilgert
Publisher: Walter de Gruyter
ISBN: 3110811189
Category : Mathematics
Languages : en
Pages : 305

Get Book Here

Book Description
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Nonsmooth Analysis and Control Theory

Nonsmooth Analysis and Control Theory PDF Author: Francis H. Clarke
Publisher: Springer Science & Business Media
ISBN: 0387226257
Category : Mathematics
Languages : en
Pages : 288

Get Book Here

Book Description
A clear and succinct presentation of the essentials of this subject, together with some of its applications and a generous helping of interesting exercises. Following an introductory chapter with a taste of what is to come, the next three chapters constitute a course in nonsmooth analysis and identify a coherent and comprehensive approach to the subject, leading to an efficient, natural, and powerful body of theory. The whole is rounded off with a self-contained introduction to the theory of control of ordinary differential equations. The authors have incorporated a number of new results which clarify the relationships between the different schools of thought in the subject, with the aim of making nonsmooth analysis accessible to a wider audience. End-of-chapter problems offer scope for deeper understanding.

Methods of the Theory of Generalized Functions

Methods of the Theory of Generalized Functions PDF Author: V. S. Vladimirov
Publisher: CRC Press
ISBN: 9780415273565
Category : Mathematics
Languages : en
Pages : 332

Get Book Here

Book Description
This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems, and boundary values of helomorphic functions for one and several variables. The author addresses several facets in depth, including convolution theory, convolution algebras and convolution equations in them, homogenous generalized functions, and multiplication of generalized functions. This book will meet the needs of researchers, engineers, and students of applied mathematics, control theory, and the engineering sciences.

Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology

Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology PDF Author: Raul E Curto
Publisher: Springer Nature
ISBN: 3030433803
Category : Mathematics
Languages : en
Pages : 531

Get Book Here

Book Description
This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current status of research in the relevant fields. The book is also a special volume dedicated to the memory of Ronald G. Douglas who passed away on February 27, 2018 at the age of 79. Many of the contributors are Douglas’ students and past collaborators. Their articles attest and commemorate his life-long contribution and influence to these fields.

Operator Analysis

Operator Analysis PDF Author: Jim Agler
Publisher: Cambridge University Press
ISBN: 1108485448
Category : Mathematics
Languages : en
Pages : 393

Get Book Here

Book Description
This monograph, aimed at graduate students and researchers, explores the use of Hilbert space methods in function theory. Explaining how operator theory interacts with function theory in one and several variables, the authors journey from an accessible explanation of the techniques to their uses in cutting edge research.

Gröbner Bases in Control Theory and Signal Processing

Gröbner Bases in Control Theory and Signal Processing PDF Author: Hyungju Park
Publisher: Walter de Gruyter
ISBN: 311090974X
Category : Mathematics
Languages : en
Pages : 261

Get Book Here

Book Description
This volume contains survey and original articles presenting the state of the art on the application of Gröbner bases in control theory and signal processing. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods at the Johann Radon Institute of Computational and Applied Mathematics (RICAM), Linz, Austria, in May 2006.