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Author : Bellman
Publisher : Academic Press
Page : 305 pages
File Size : 44,9 Mb
Release : 1971-04-20
Category : Computers
ISBN : 9780080955483
Introduction to the Mathematical Theory of Control Processes: Nonlinear Processes v. 2
Author : Richard Ernest Bellman
Publisher : Unknown
Page : 128 pages
File Size : 45,5 Mb
Release : 1967
Category : Control theory
ISBN : OCLC:873215366
Author : Richard Bellman
Publisher : Unknown
Page : 128 pages
File Size : 48,9 Mb
Release : 1967
Category : Electronic
ISBN : OCLC:664587738
Author : Richard Bellman
Publisher : Elsevier
Page : 264 pages
File Size : 53,6 Mb
Release : 2016-06-03
Category : Mathematics
ISBN : 9781483222868
Introduction to the Mathematical Theory of Control Processes
Author : Bellman
Publisher : Academic Press
Page : 266 pages
File Size : 45,8 Mb
Release : 1967-01-01
Category : Computers
ISBN : 9780080955476
This work discusses the theory of control processes. The extremely rapid growth of the theory, associated intimately with the continuing trend toward automation, makes it imperative that the courses of this nature rest upon a broad basis. The work discusses the fundamentals of the calculus of variations, dynamic programming, discrete control processes, use of the digital computer, and functional analysis. Introductory courses in control theory are essential for training the modern graduate student in pure and applied mathematics, engineering, mathematical physics, economics, biology, operations research, and related fields. The work also describes the dual approaches of the calculus of variations and dynamic programming in the scalar case and illustrates ways to tackle the multidimensional optimization problems.
Author : Richard Bellman
Publisher : Unknown
Page : 306 pages
File Size : 43,7 Mb
Release : 1971
Category : Control theory
ISBN : OCLC:25193053
Author : Jerzy Zabczyk
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 46,9 Mb
Release : 2009-11-03
Category : Science
ISBN : 9780817647339
Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems. "Covers a remarkable number of topics....The book presents a large amount of material very well, and its use is highly recommended." --Bulletin of the AMS
Author : Leonard David Berkovitz,Negash G. Medhin
Publisher : CRC Press
Page : 392 pages
File Size : 43,7 Mb
Release : 2012-08-25
Category : Mathematics
ISBN : 9781466560277
Nonlinear Optimal Control Theory presents a deep, wide-ranging introduction to the mathematical theory of the optimal control of processes governed by ordinary differential equations and certain types of differential equations with memory. Many examples illustrate the mathematical issues that need to be addressed when using optimal control techniqu
Author : Dieter Grass,Jonathan P. Caulkins,Gustav Feichtinger,Gernot Tragler,Doris A. Behrens
Publisher : Springer Science & Business Media
Page : 552 pages
File Size : 51,6 Mb
Release : 2008-07-24
Category : Business & Economics
ISBN : 9783540776475
Dynamic optimization is rocket science – and more. This volume teaches researchers and students alike to harness the modern theory of dynamic optimization to solve practical problems. These problems not only cover those in space flight, but also in emerging social applications such as the control of drugs, corruption, and terror. This volume is designed to be a lively introduction to the mathematics and a bridge to these hot topics in the economics of crime for current scholars. The authors celebrate Pontryagin’s Maximum Principle – that crowning intellectual achievement of human understanding. The rich theory explored here is complemented by numerical methods available through a companion web site.
Author : Rafael Martínez-Guerra,Oscar Martínez-Fuentes,Juan Javier Montesinos-García
Publisher : Springer
Page : 196 pages
File Size : 49,7 Mb
Release : 2019-01-30
Category : Technology & Engineering
ISBN : 9783030120252
This book is a short primer in engineering mathematics with a view on applications in nonlinear control theory. In particular, it introduces some elementary concepts of commutative algebra and algebraic geometry which offer a set of tools quite different from the traditional approaches to the subject matter. This text begins with the study of elementary set and map theory. Chapters 2 and 3 on group theory and rings, respectively, are included because of their important relation to linear algebra, the group of invertible linear maps (or matrices) and the ring of linear maps of a vector space. Homomorphisms and Ideals are dealt with as well at this stage. Chapter 4 is devoted to the theory of matrices and systems of linear equations. Chapter 5 gives some information on permutations, determinants and the inverse of a matrix. Chapter 6 tackles vector spaces over a field, Chapter 7 treats linear maps resp. linear transformations, and in addition the application in linear control theory of some abstract theorems such as the concept of a kernel, the image and dimension of vector spaces are illustrated. Chapter 8 considers the diagonalization of a matrix and their canonical forms. Chapter 9 provides a brief introduction to elementary methods for solving differential equations and, finally, in Chapter 10, nonlinear control theory is introduced from the point of view of differential algebra.
Author : Anonim
Publisher : Academic Press
Page : 322 pages
File Size : 48,5 Mb
Release : 1974-09-20
Category : Mathematics
ISBN : 008095619X
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Author : Katalin M. Hangos,József Bokor,Gábor Szederkényi
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 43,8 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9781852338619
This straightforward text makes the complicated but powerful methods of non-linear control accessible to process engineers. Not only does it cover the necessary mathematics, but it consistently refers to the widely-known finite-dimensional linear time-invariant continuous case as a basis for extension to the nonlinear situation.
Author : Richard E. Bellman
Publisher : Princeton University Press
Page : 275 pages
File Size : 44,8 Mb
Release : 2015-12-08
Category : Mathematics
ISBN : 9781400874668
The aim of this work is to present a unified approach to the modern field of control theory and to provide a technique for making problems involving deterministic, stochastic, and adaptive processes of both linear and nonlinear type amenable to machine solution. Mr. Bellman has used the theory of dynamic programming to formulate, analyze, and prepare these processes for numerical treatment by digital computers. The unique concept of the book is that of a single problem stretching from recognition and formulation to analytic treatment and computational solution. Due to the emphasis upon ideas and concepts, this book is equally suited for the pure and applied mathematician, and for control engineers in all fields. Originally published in 1961. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : R. Bellman
Publisher : Unknown
Page : 0 pages
File Size : 54,9 Mb
Release : 2024-06-14
Category : Electronic
ISBN : OCLC:1417518801
Author : Alberto Isidori
Publisher : Springer Science & Business Media
Page : 557 pages
File Size : 44,9 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9781846286155
The purpose of this book is to present a self-contained description of the fun damentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach. The book is intended as a graduate text as weil as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was written in 1983, while I was teach ing at the Department of Systems Science and Mathematics at Washington University in St. Louis. This new edition integrates my subsequent teaching experience gained at the University of Illinois in Urbana-Champaign in 1987, at the Carl-Cranz Gesellschaft in Oberpfaffenhofen in 1987, at the University of California in Berkeley in 1988. In addition to a major rearrangement of the last two Chapters of the first version, this new edition incorporates two additional Chapters at a more elementary level and an exposition of some relevant research findings which have occurred since 1985.