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Interdisciplinary Mathematics Cartanian Geometry Nonlinear Waves And Control Theory Pt A B
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Book Synopsis Interdisciplinary Mathematics: Cartanian geometry, nonlinear waves, and control theory, pt. A-B by : Robert Hermann
Download or read book Interdisciplinary Mathematics: Cartanian geometry, nonlinear waves, and control theory, pt. A-B written by Robert Hermann and published by . This book was released on 1973 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book P.A. written by and published by . This book was released on 1979 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cartanian Geometry, Nonlinear Waves, and by : Robert Hermann
Download or read book Cartanian Geometry, Nonlinear Waves, and written by Robert Hermann and published by . This book was released on 1980 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cartanian Geometry, Nonlinear Waves, and Control by : Robert Hermann
Download or read book Cartanian Geometry, Nonlinear Waves, and Control written by Robert Hermann and published by . This book was released on 1979 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Interdisciplinary Mathematics: Cartanian geometry, nonlinear waves, and control theory, pt. A-B by : Robert Hermann
Download or read book Interdisciplinary Mathematics: Cartanian geometry, nonlinear waves, and control theory, pt. A-B written by Robert Hermann and published by . This book was released on 1973 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications by : A. Anzaldo-Meneses
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.
Book Synopsis Algebraic and Differential Methods for Nonlinear Control Theory by : Rafael Martínez-Guerra
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.
Book Synopsis Nonlinear Waves and Solitons on Contours and Closed Surfaces by : Andrei Ludu
Download or read book Nonlinear Waves and Solitons on Contours and Closed Surfaces written by Andrei Ludu and published by Springer Science & Business Media. This book was released on 2012-01-14 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering. This new edition has been thoroughly revised, expanded and updated.
Book Synopsis Reduction of Nonlinear Control Systems by : V.I. Elkin
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.
Book Synopsis Introduction to Geometric Control by : Yuri Sachkov
Download or read book Introduction to Geometric Control written by Yuri Sachkov and published by Springer Nature. This book was released on 2022-07-02 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an enhanced, English version of the Russian edition, published in early 2021 and is appropriate for an introductory course in geometric control theory. The concise presentation provides an accessible treatment of the subject for advanced undergraduate and graduate students in theoretical and applied mathematics, as well as to experts in classic control theory for whom geometric methods may be introduced. Theory is accompanied by characteristic examples such as stopping a train, motion of mobile robot, Euler elasticae, Dido's problem, and rolling of the sphere on the plane. Quick foundations to some recent topics of interest like control on Lie groups and sub-Riemannian geometry are included. Prerequisites include only a basic knowledge of calculus, linear algebra, and ODEs; preliminary knowledge of control theory is not assumed. The applications problems-oriented approach discusses core subjects and encourages the reader to solve related challenges independently. Highly-motivated readers can acquire working knowledge of geometric control techniques and progress to studying control problems and more comprehensive books on their own. Selected sections provide exercises to assist in deeper understanding of the material. Controllability and optimal control problems are considered for nonlinear nonholonomic systems on smooth manifolds, in particular, on Lie groups. For the controllability problem, the following questions are considered: controllability of linear systems, local controllability of nonlinear systems, Nagano–Sussmann Orbit theorem, Rashevskii–Chow theorem, Krener's theorem. For the optimal control problem, Filippov's theorem is stated, invariant formulation of Pontryagin maximum principle on manifolds is given, second-order optimality conditions are discussed, and the sub-Riemannian problem is studied in detail. Pontryagin maximum principle is proved for sub-Riemannian problems, solution to the sub-Riemannian problems on the Heisenberg group, the group of motions of the plane, and the Engel group is described.
Book Synopsis Nonlinear Water Waves by : David Henry
Download or read book Nonlinear Water Waves written by David Henry and published by Springer Nature. This book was released on 2019-11-27 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable. This is not surprising when one considers the highly diverse and intricate physical phenomena which may be exhibited by a given body of water. Recent mathematical advances have enabled researchers to make major progress in this field, reflected in the topics featured in this volume. Cutting-edge techniques and tools from mathematical analysis have generated strong rigorous results concerning the qualitative and quantitative physical properties of solutions of the governing equations. Furthermore, accurate numerical computations of fully-nonlinear steady and unsteady water waves in two and three dimensions have contributed to the discovery of new types of waves. Model equations have been derived in the long-wave and modulational regime using Hamiltonian formulations and solved numerically. This book brings together interdisciplinary researchers working in the field of nonlinear water waves, whose contributions range from survey articles to new research results which address a variety of aspects in nonlinear water waves. It is motivated by a workshop which was organised at the Erwin Schrödinger International Institute for Mathematics and Physics in Vienna, November 27-December 7, 2017. The key aim of the workshop was to describe, and foster, new approaches to research in this field. This is reflected in the contents of this book, which is aimed to stimulate both experienced researchers and students alike.
Book Synopsis Geometric Structure of Systems Control Theory and Physics. Part A. by : R. Hermann
Download or read book Geometric Structure of Systems Control Theory and Physics. Part A. written by R. Hermann and published by . This book was released on 1974 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric Structure of Systems-Control by : Robert Hermann
Download or read book Geometric Structure of Systems-Control written by Robert Hermann and published by . This book was released on 1976 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Systems by : Shankar Sastry
Download or read book Nonlinear Systems written by Shankar Sastry and published by Springer. This book was released on 2010-12-01 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been much excitement over the emergence of new mathematical techniques for the analysis and control of nonlinear systems. In addition, great technological advances have bolstered the impact of analytic advances and produced many new problems and applications which are nonlinear in an essential way. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications.
Book Synopsis Subject Guide to Books in Print by :
Download or read book Subject Guide to Books in Print written by and published by . This book was released on 1983 with total page 1514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Books and Serials in Print by :
Download or read book Scientific and Technical Books and Serials in Print written by and published by . This book was released on 1984 with total page 1290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Brain-Computer Interfaces by : Jonathan Wolpaw
Download or read book Brain-Computer Interfaces written by Jonathan Wolpaw and published by Oxford University Press. This book was released on 2012-01-24 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: A recognizable surge in the field of Brain Computer Interface (BCI) research and development has emerged in the past two decades. This book is intended to provide an introduction to and summary of essentially all major aspects of BCI research and development. Its goal is to be a comprehensive, balanced, and coordinated presentation of the field's key principles, current practice, and future prospects.
