Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Geometry In Nonlinear Control And Differential Inclusions full books in PDF, epub, and Kindle. Read online Geometry In Nonlinear Control And Differential Inclusions ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Bronisław Jakubczyk
Publisher :
ISBN 13 :
Total Pages : 418 pages
Book Rating : 4.3/5 (91 download)
Download or read book Geometry in Nonlinear Control and Differential Inclusions written by Bronisław Jakubczyk and published by . This book was released on 1995 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.I. Elkin
Publisher : Springer Science & Business Media
ISBN 13 : 9401146179
Total Pages : 259 pages
Book Rating : 4.4/5 (11 download)
Download or read book Reduction of Nonlinear Control Systems written by V.I. Elkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in science and technology necessitate the use of increasingly-complicated dynamic control processes. Undoubtedly, sophisticated mathematical models are also concurrently elaborated for these processes. In particular, linear dynamic control systems iJ = Ay + Bu, y E M C ]Rn, U E ]RT, (1) where A and B are constants, are often abandoned in favor of nonlinear dynamic control systems (2) which, in addition, contain a large number of equations. The solution of problems for multidimensional nonlinear control systems en counters serious difficulties, which are both mathematical and technical in nature. Therefore it is imperative to develop methods of reduction of nonlinear systems to a simpler form, for example, decomposition into systems of lesser dimension. Approaches to reduction are diverse, in particular, techniques based on approxi mation methods. In this monograph, we elaborate the most natural and obvious (in our opinion) approach, which is essentially inherent in any theory of math ematical entities, for instance, in the theory of linear spaces, theory of groups, etc. Reduction in our interpretation is based on assigning to the initial object an isomorphic object, a quotient object, and a subobject. In the theory of linear spaces, for instance, reduction consists in reducing to an isomorphic linear space, quotient space, and subspace. Strictly speaking, the exposition of any mathemat ical theory essentially begins with the introduction of these reduced objects and determination of their basic properties in relation to the initial object.
Author : Rafael Martínez-Guerra
Publisher : Springer
ISBN 13 : 3030120252
Total Pages : 196 pages
Book Rating : 4.0/5 (31 download)
Download or read book Algebraic and Differential Methods for Nonlinear Control Theory written by Rafael Martínez-Guerra and published by Springer. This book was released on 2019-01-30 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : A. Anzaldo-Meneses
Publisher : World Scientific
ISBN 13 : 9810248415
Total Pages : 495 pages
Book Rating : 4.8/5 (12 download)
Download or read book Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications written by A. Anzaldo-Meneses and published by World Scientific. This book was released on 2002 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concerns contemporary trends in nonlinear geometric control theory and its applications.
Author : Zhengzhi Han
Publisher : Springer
ISBN 13 : 3662492458
Total Pages : 354 pages
Book Rating : 4.6/5 (624 download)
Download or read book Theory of Control Systems Described by Differential Inclusions written by Zhengzhi Han and published by Springer. This book was released on 2016-06-15 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a brief introduction to the theory of finite dimensional differential inclusions, and deals in depth with control of three kinds of differential inclusion systems. The authors introduce the algebraic decomposition of convex processes, the stabilization of polytopic systems, and observations of Luré systems. They also introduce the elemental theory of finite dimensional differential inclusions, and the properties and designs of the control systems described by differential inclusions. Addressing the material with clarity and simplicity, the book includes recent research achievements and spans all concepts, concluding with a critical mathematical framework. This book is intended for researchers, teachers and postgraduate students in the area of automatic control engineering.
Author : Alexander B. Kurzhanski
Publisher : Springer
ISBN 13 : 331910277X
Total Pages : 457 pages
Book Rating : 4.3/5 (191 download)
Download or read book Dynamics and Control of Trajectory Tubes written by Alexander B. Kurzhanski and published by Springer. This book was released on 2014-10-27 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents theoretical methods involving the Hamilton–Jacobi–Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control synthesis under complex state constraints, hard or double bounds on controls, and performance in finite time. Guaranteed state estimation, output feedback control, and hybrid dynamics are also discussed. Although the focus is on systems with linear structure, the authors indicate how to apply each approach to nonlinear and nonconvex systems. The main theoretical results lead to computational schemes based on extensions of ellipsoidal calculus that provide complete solutions to the problems. These computational schemes in turn yield software tools that can be applied effectively to high-dimensional systems. Ellipsoidal Techniques for Problems of Dynamics and Control: Theory and Computation will interest graduate and senior undergraduate students, as well as researchers and practitioners interested in control theory, its applications, and its computational realizations.
Author : Diaraf Seck
Publisher : Birkhäuser
ISBN 13 : 9783031526800
Total Pages : 0 pages
Book Rating : 4.5/5 (268 download)
Download or read book Nonlinear Analysis, Geometry and Applications written by Diaraf Seck and published by Birkhäuser. This book was released on 2024-03-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NLAGA's Biennial International Research Symposium (NLAGA-BIRS) is intended to gather African expertises in Nonlinear Analysis, Geometry and their Applications with their international partners in a four days conference where new mathematical results are presented and discussed. This book features the best papers presented during this Biennial. The different topics addressed are related to Partial Differential Equations, Differential inclusions, Geometrical Analysis of Optimal Shapes, Complex Analysis, Geometric Structures, Algebraic Geometry, Algebraic, Optimization, Optimal Control and Mathematical modeling. The main focus of the NLAGA project is to deepen and consolidate the development in West and Center Africa of Nonlinear Analysis, Geometry and their Applications, aimed at solving in particular real-world problems such as coastal erosion, urban network, pollution problems, and population dynamics.
Author : John R. Graef
Publisher : CRC Press
ISBN 13 : 0429822618
Total Pages : 430 pages
Book Rating : 4.4/5 (298 download)
Download or read book Topological Methods for Differential Equations and Inclusions written by John R. Graef and published by CRC Press. This book was released on 2018-09-25 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove existence theorems in optimal control theory. Since the dynamics of economic, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis.
Author : Guillermo Segundo Ferreyra
Publisher : American Mathematical Soc.
ISBN 13 : 0821808877
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Geometry and Control written by Guillermo Segundo Ferreyra and published by American Mathematical Soc.. This book was released on 1999 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains papers from a summer 1997 meeting on recent developments and important open problems in geometric control theory. Topics include linear control systems in Lie groups and controllability, real analytic geometry and local observability, singular extremals of order 3 and chattering, infinite time horizon stochastic control problems in hyperbolic three space, and Monge-Ampere equations. No index. Annotation copyrighted by Book News, Inc., Portland, OR.
Author : Robert Hermann
Publisher : Math Science Press
ISBN 13 : 9780915692422
Total Pages : 363 pages
Book Rating : 4.6/5 (924 download)
Download or read book Geometric Structures in Nonlinear Physics written by Robert Hermann and published by Math Science Press. This book was released on 1991 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.
Author : Alberto Isidori
Publisher : Springer Science & Business Media
ISBN 13 : 9781852333645
Total Pages : 644 pages
Book Rating : 4.3/5 (336 download)
Download or read book Nonlinear Control in the Year 2000 written by Alberto Isidori and published by Springer Science & Business Media. This book was released on 2000-11-17 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control of nonlinear systems, one of the most active research areas in control theory, has always been a domain of natural convergence of research interests in applied mathematics and control engineering. The theory has developed from the early phase of its history, when the basic tool was essentially only the Lyapunov second method, to the present day, where the mathematics ranges from differential geometry, calculus of variations, ordinary and partial differential equations, functional analysis, abstract algebra and stochastic processes, while the applications to advanced engineering design span a wide variety of topics, which include nonlinear controllability and observability, optimal control, state estimation, stability and stabilization, feedback equivalence, motion planning, noninteracting control, disturbance attenuation, asymptotic tracking. The reader will find in the book methods and results which cover a wide variety of problems: starting from pure mathematics (like recent fundamental results on (non)analycity of small balls and the distance function), through its applications to all just mentioned topics of nonlinear control, up to industrial applications of nonlinear control algorithms.
Author : F.H. Clarke
Publisher : Springer Science & Business Media
ISBN 13 : 9401145601
Total Pages : 614 pages
Book Rating : 4.4/5 (11 download)
Download or read book Nonlinear Analysis, Differential Equations and Control written by F.H. Clarke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system such as a differential equation or control process. Many of these recent advances were made possible by parallel developments in nonlinear and nonsmooth analysis. The latter subjects, in general terms, encompass differential analysis and optimization theory in the absence of traditional linearity, convexity or smoothness assumptions. In the last three decades it has become increasingly recognized that nonlinear and nonsmooth behavior is naturally present and prevalent in dynamical models, and is therefore significant theoretically. This point of view has guided us in the organizational aspects of this ASI. Our goals were twofold: We intended to achieve "cross fertilization" between mathematicians who were working in a diverse range of problem areas, but who all shared an interest in nonlinear and nonsmooth analysis. More importantly, it was our goal to expose a young international audience (mainly graduate students and recent Ph. D. 's) to these important subjects. In that regard, there were heavy pedagogical demands placed upon the twelve speakers of the ASI, in meeting the needs of such a gathering. The talks, while exposing current areas of research activity, were required to be as introductory and comprehensive as possible. It is our belief that these goals were achieved, and that these proceedings bear this out. Each of the twelve speakers presented a mini-course of four or five hours duration.
Author : Alfonso Anzaldo-meneses
Publisher : World Scientific
ISBN 13 : 9814489468
Total Pages : 495 pages
Book Rating : 4.8/5 (144 download)
Download or read book Contemporary Trends In Nonlinear Geometric Control Theory And Its Applications written by Alfonso Anzaldo-meneses and published by World Scientific. This book was released on 2002-01-30 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Boris S. Mordukhovich
Publisher : Springer Science & Business Media
ISBN 13 : 1461384893
Total Pages : 256 pages
Book Rating : 4.4/5 (613 download)
Download or read book Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control written by Boris S. Mordukhovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications NONSMOOTH ANALYSIS AND GEOMETRIC METHODS IN DETERMINISTIC OPTIMAL CONTROL is based on the proceedings of a workshop that was an integral part of the 1992-93 IMA program on "Control Theory. " The purpose of this workshop was to concentrate on powerful mathematical techniques that have been de veloped in deterministic optimal control theory after the basic foundations of the theory (existence theorems, maximum principle, dynamic program ming, sufficiency theorems for sufficiently smooth fields of extremals) were laid out in the 1960s. These advanced techniques make it possible to derive much more detailed information about the structure of solutions than could be obtained in the past, and they support new algorithmic approaches to the calculation of such solutions. We thank Boris S. Mordukhovich and Hector J. Sussmann for organiz ing the workshop and editing the proceedings. We also take this oppor tunity to thank the National Science Foundation and the Army Research Office, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. v PREFACE This volume contains the proceedings of the workshop on Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control held at the Institute for Mathematics and its Applications on February 8-17, 1993 during a special year devoted to Control Theory and its Applications. The workshop-whose organizing committee consisted of V. J urdjevic, B. S. Mordukhovich, R. T. Rockafellar, and H. J.
Author : Diaraf Seck
Publisher :
ISBN 13 : 9783031526831
Total Pages : 0 pages
Book Rating : 4.5/5 (268 download)
Download or read book Nonlinear Analysis, Geometry and Applications written by Diaraf Seck and published by . This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NLAGA's Biennial International Research Symposium (NLAGA-BIRS) is intended to gather African expertises in Nonlinear Analysis, Geometry and their Applications with their international partners in a four days conference where new mathematical results are presented and discussed. This book features the best papers presented during this Biennial. The different topics addressed are related to Partial Differential Equations, Differential inclusions, Geometrical Analysis of Optimal Shapes, Complex Analysis, Geometric Structures, Algebraic Geometry, Algebraic, Optimization, Optimal Control and Mathematical modeling. The main focus of the NLAGA project is to deepen and consolidate the development in West and Center Africa of Nonlinear Analysis, Geometry and their Applications, aimed at solving in particular real-world problems such as coastal erosion, urban network, pollution problems, and population dynamics.
Author : Fabio Ancona
Publisher : World Scientific
ISBN 13 : 9812776079
Total Pages : 377 pages
Book Rating : 4.8/5 (127 download)
Download or read book Geometric Control and Nonsmooth Analysis written by Fabio Ancona and published by World Scientific. This book was released on 2008 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to provide a synthetic account of past research, to give an up-to-date guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions.
Author : Marc Henneaux
Publisher : American Mathematical Soc.
ISBN 13 : 0821808281
Total Pages : 306 pages
Book Rating : 4.8/5 (218 download)
Download or read book Secondary Calculus and Cohomological Physics written by Marc Henneaux and published by American Mathematical Soc.. This book was released on 1998 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of invited lectures (at the Conference on Secondary Calculus and Cohomological Physics, Moscow, 1997) reflects the state-of-the-art in a new branch of mathematics and mathematical physics arising at the intersection of geometry of nonlinear differential equations, quantum field theory, and cohomological algebra. This is the first comprehensive and self-contained book on modern quantum field theory in the context of cohomological methods and the geometry of nonlinear PDEs.
