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| Author | : A. Anzaldo-Meneses |
| Publisher | : World Scientific |
| Total Pages | : 495 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 9810248415 |
Concerns contemporary trends in nonlinear geometric control theory and its applications.
| Author | : Claudio Bonivento |
| Publisher | : Springer |
| Total Pages | : 310 |
| Release | : 2007-06-04 |
| Genre | : Technology & Engineering |
| ISBN | : 3540707018 |
This volume is the outcome of the first CASY workshop on "Advances in Control Theory and Applications" which was held at University of Bologna on May 22-26, 2006. It consists of selected contributions by some of the invited speakers and contains recent results in control. The volume is intended for engineers, researchers, and students in control engineering.
| Author | : Henk Nijmeijer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 427 |
| Release | : 2013-03-14 |
| Genre | : Technology & Engineering |
| ISBN | : 1475721013 |
This volume deals with controllability and observability properties of nonlinear systems, as well as various ways to obtain input-output representations. The emphasis is on fundamental notions as (controlled) invariant distributions and submanifolds, together with algorithms to compute the required feedbacks.
| Author | : Giovanni Falcone |
| Publisher | : Springer |
| Total Pages | : 361 |
| Release | : 2017-09-19 |
| Genre | : Mathematics |
| ISBN | : 3319621815 |
This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage manifolds, the book introduces young researchers in Mathematics to a wealth of different topics, encouraging a multidisciplinary approach to research. As such, it is suitable for students in doctoral courses, and will also benefit researchers who want to expand their field of interest.
| Author | : Alberto Isidori |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 557 |
| Release | : 2013-04-17 |
| Genre | : Technology & Engineering |
| ISBN | : 1846286158 |
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.
| Author | : Gildas Besançon |
| Publisher | : Springer |
| Total Pages | : 224 |
| Release | : 2007-10-11 |
| Genre | : Technology & Engineering |
| ISBN | : 3540735038 |
The purpose of this fantastically useful book is to lay out an overview on possible tools for state reconstruction in nonlinear systems. Here, basic observability notions and observer structures are recalled, together with ingredients for advanced designs on this basis. The problem of state reconstruction in dynamical systems, known as observer problem, is crucial for controlling or even merely monitoring processes. For linear systems, the theory has been well established for several years, so this book attempts to tackle the problem for non-linear systems.
| Author | : Javier De Lucas Araujo |
| Publisher | : World Scientific |
| Total Pages | : 425 |
| Release | : 2020-01-22 |
| Genre | : Mathematics |
| ISBN | : 1786346990 |
The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development of contemporary research topics. It embraces several basic topics on differential geometry and the study of geometric structures while developing known applications in the theory of Lie systems. The book also includes a brief exploration of the applications of Lie systems to superequations, discrete systems, and partial differential equations.Offering a complete overview from the topic's foundations to the present, this book is an ideal resource for Physics and Mathematics students, doctoral students and researchers.
| Author | : David Elliott |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 283 |
| Release | : 2009-09-01 |
| Genre | : Science |
| ISBN | : 1402096135 |
The mathematical theory of control became a ?eld of study half a century ago in attempts to clarify and organize some challenging practical problems and the methods used to solve them. It is known for the breadth of the mathematics it uses and its cross-disciplinary vigor. Its literature, which can befoundinSection93ofMathematicalReviews,wasatonetimedominatedby the theory of linear control systems, which mathematically are described by linear di?erential equations forced by additive control inputs. That theory led to well-regarded numerical and symbolic computational packages for control analysis and design. Nonlinear control problems are also important; in these either the - derlying dynamical system is nonlinear or the controls are applied in a n- additiveway.Thelastfourdecadeshaveseenthedevelopmentoftheoretical work on nonlinear control problems based on di?erential manifold theory, nonlinear analysis, and several other mathematical disciplines. Many of the problems that had been solved in linear control theory, plus others that are new and distinctly nonlinear, have been addressed; some resulting general de?nitions and theorems are adapted in this book to the bilinear case.
| Author | : Dieter Grass |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 552 |
| Release | : 2008-07-24 |
| Genre | : Business & Economics |
| ISBN | : 3540776478 |
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 | : Fritz Colonius |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 654 |
| Release | : 2000-04-20 |
| Genre | : Architecture |
| ISBN | : 9780817636838 |
This new text/reference is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics and nonlinear dynamics will find the book a rich source of ideas, methods and applications. With its careful use of examples and detailed development, it is suitable for use as a self-study/reference guide for all scientists and engineers.
