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Author : Allen Tannenbaum
Publisher : Springer
ISBN 13 : 3540385363
Total Pages : 171 pages
Book Rating : 4.5/5 (43 download)
Download or read book Invariance and System Theory written by Allen Tannenbaum and published by Springer. This book was released on 2006-11-14 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Giuseppe Basile
Publisher :
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.3/5 (91 download)
Download or read book Controlled and Conditioned Invariants in Linear System Theory written by Giuseppe Basile and published by . This book was released on 1992 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using a geometric approach to system theory, this work discusses controlled and conditioned invariance to geometrical analysis and design of multivariable control systems, presenting new mathematical theories, new approaches to standard problems and applied mathematics topics.
Author : Allen Tannenbaum
Publisher :
ISBN 13 : 9783662201275
Total Pages : 176 pages
Book Rating : 4.2/5 (12 download)
Download or read book Invariance and System Theory written by Allen Tannenbaum and published by . This book was released on 2014-09-01 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christoph Kawan
Publisher : Springer
ISBN 13 : 3319012886
Total Pages : 290 pages
Book Rating : 4.3/5 (19 download)
Download or read book Invariance Entropy for Deterministic Control Systems written by Christoph Kawan and published by Springer. This book was released on 2013-10-02 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an introduction to the concept of invariance entropy, the central motivation of which lies in the need to deal with communication constraints in networked control systems. For the simplest possible network topology, consisting of one controller and one dynamical system connected by a digital channel, invariance entropy provides a measure for the smallest data rate above which it is possible to render a given subset of the state space invariant by means of a symbolic coder-controller pair. This concept is essentially equivalent to the notion of topological feedback entropy introduced by Nair, Evans, Mareels and Moran (Topological feedback entropy and nonlinear stabilization. IEEE Trans. Automat. Control 49 (2004), 1585–1597). The book presents the foundations of a theory which aims at finding expressions for invariance entropy in terms of dynamical quantities such as Lyapunov exponents. While both discrete-time and continuous-time systems are treated, the emphasis lies on systems given by differential equations.
Author : H.E.A. Eddy Campbell
Publisher : Springer Science & Business Media
ISBN 13 : 3642174043
Total Pages : 233 pages
Book Rating : 4.6/5 (421 download)
Download or read book Modular Invariant Theory written by H.E.A. Eddy Campbell and published by Springer Science & Business Media. This book was released on 2011-01-12 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is more complicated than the study of the classical non-modular case. Largely self-contained, the book develops the theory from its origins up to modern results. It explores many examples, illustrating the theory and its contrast with the better understood non-modular setting. It details techniques for the computation of invariants for many modular representations of finite groups, especially the case of the cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is aimed at both graduate students and researchers—an introduction to many important topics in modern algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic geometry for the latter.
Author : Oliver Edmunds Glenn
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (89 download)
Download or read book A Treatise on the Theory of Invariants written by Oliver Edmunds Glenn and published by . This book was released on 1915 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Isukapalli Gopala Sarma
Publisher :
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.:/5 (89 download)
Download or read book Invariance Theory of Automatic Control Systems written by Isukapalli Gopala Sarma and published by . This book was released on 1964 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Malte Henkel
Publisher : Springer Science & Business Media
ISBN 13 : 3662039370
Total Pages : 433 pages
Book Rating : 4.6/5 (62 download)
Download or read book Conformal Invariance and Critical Phenomena written by Malte Henkel and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critical phenomena arise in a wide variety of physical systems. Classi cal examples are the liquid-vapour critical point or the paramagnetic ferromagnetic transition. Further examples include multicomponent fluids and alloys, superfluids, superconductors, polymers and fully developed tur bulence and may even extend to the quark-gluon plasma and the early uni verse as a whole. Early theoretical investigators tried to reduce the problem to a very small number of degrees of freedom, such as the van der Waals equation and mean field approximations, culminating in Landau's general theory of critical phenomena. Nowadays, it is understood that the common ground for all these phenomena lies in the presence of strong fluctuations of infinitely many coupled variables. This was made explicit first through the exact solution of the two-dimensional Ising model by Onsager. Systematic subsequent developments have been leading to the scaling theories of critical phenomena and the renormalization group which allow a precise description of the close neighborhood of the critical point, often in good agreement with experiments. In contrast to the general understanding a century ago, the presence of fluctuations on all length scales at a critical point is emphasized today. This can be briefly summarized by saying that at a critical point a system is scale invariant. In addition, conformal invaTiance permits also a non-uniform, local rescal ing, provided only that angles remain unchanged.
Author : Fritz Colonius
Publisher : Springer Science & Business Media
ISBN 13 : 1461201799
Total Pages : 320 pages
Book Rating : 4.4/5 (612 download)
Download or read book Advances in Mathematical Systems Theory written by Fritz Colonius and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edited book focuses on the contemporary developments and results in mathematical systems theory and control. It is a book in honor of Diederich Hinrichsen, for his fundamental contributions and achievements in the fields of linear systems theory and control theory and for his long term achievements in establishing mathematical systems theory in Germany. The book includes invited, peer-reviewed, authoritative expositions and surveys of these fields, presented by leading international researchers. A key theme of the book is the stability and robustness of linear and nonlinear systems using the concepts of stability radii and spectral value sets. Chapters survey recent advances in linear and nonlinear systems theory, including parameterization problems and behaviors of linear systems, convolutional codes, and complementary systems and hybrid systems. In addition, the volume examines controllability and stabilization of infinite dimensional systems (allowing for hysteresis nonlinearities) with functional analytic and algebraic approaches. Features and topics include: * linear and nonlinear systems theory * control theory and applications * robust stability of multivariate polynomials * stability radii of slowly time-varying systems * invariance radius for nonlinear systems * parametrization of conditioned invariant subspaces The book is an essential resource for all researchers and professionals in applied mathematics and control engineering who are.
Author : Agostino Martinelli
Publisher : SIAM
ISBN 13 : 1611976251
Total Pages : 277 pages
Book Rating : 4.6/5 (119 download)
Download or read book Observability written by Agostino Martinelli and published by SIAM. This book was released on 2020-08-24 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about nonlinear observability. It provides a modern theory of observability based on a new paradigm borrowed from theoretical physics and the mathematical foundation of that paradigm. In the case of observability, this framework takes into account the group of invariance that is inherent to the concept of observability, allowing the reader to reach an intuitive derivation of significant results in the literature of control theory. The book provides a complete theory of observability and, consequently, the analytical solution of some open problems in control theory. Notably, it presents the first general analytic solution of the nonlinear unknown input observability (nonlinear UIO), a very complex open problem studied in the 1960s. Based on this solution, the book provides examples with important applications for neuroscience, including a deep study of the integration of multiple sensory cues from the visual and vestibular systems for self-motion perception. Observability: A New Theory Based on the Group of Invariance is the only book focused solely on observability. It provides readers with many applications, mostly in robotics and autonomous navigation, as well as complex examples in the framework of vision-aided inertial navigation for aerial vehicles. For these applications, it also includes all the derivations needed to separate the observable part of the system from the unobservable, an analysis with practical importance for obtaining the basic equations for implementing any estimation scheme or for achieving a closed-form solution to the problem. This book is intended for researchers in robotics and automation, both in academia and in industry. Researchers in other engineering disciplines, such as information theory and mechanics, will also find the book useful.
Author : John Fogarty
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.3/5 (91 download)
Download or read book Invariant Theory written by John Fogarty and published by . This book was released on 1969 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Igor Dolgachev
Publisher : Cambridge University Press
ISBN 13 : 9780521525480
Total Pages : 244 pages
Book Rating : 4.5/5 (254 download)
Download or read book Lectures on Invariant Theory written by Igor Dolgachev and published by Cambridge University Press. This book was released on 2003-08-07 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.
Author : Igor Chueshov
Publisher : Springer
ISBN 13 : 3540458158
Total Pages : 239 pages
Book Rating : 4.5/5 (44 download)
Download or read book Monotone Random Systems Theory and Applications written by Igor Chueshov and published by Springer. This book was released on 2004-10-11 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present a recently developed approach suitable for investigating a variety of qualitative aspects of order-preserving random dynamical systems and to give the background for further development of the theory. The main objects considered are equilibria and attractors. The effectiveness of this approach is demonstrated by analysing the long-time behaviour of some classes of random and stochastic ordinary differential equations which arise in many applications.
Author : Abraham Boyarsky
Publisher : Springer Science & Business Media
ISBN 13 : 1461220246
Total Pages : 413 pages
Book Rating : 4.4/5 (612 download)
Download or read book Laws of Chaos written by Abraham Boyarsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hundred years ago it became known that deterministic systems can exhibit very complex behavior. By proving that ordinary differential equations can exhibit strange behavior, Poincare undermined the founda tions of Newtonian physics and opened a window to the modern theory of nonlinear dynamics and chaos. Although in the 1930s and 1940s strange behavior was observed in many physical systems, the notion that this phenomenon was inherent in deterministic systems was never suggested. Even with the powerful results of S. Smale in the 1960s, complicated be havior of deterministic systems remained no more than a mathematical curiosity. Not until the late 1970s, with the advent of fast and cheap comput ers, was it recognized that chaotic behavior was prevalent in almost all domains of science and technology. Smale horseshoes began appearing in many scientific fields. In 1971, the phrase 'strange attractor' was coined to describe complicated long-term behavior of deterministic systems, and the term quickly became a paradigm of nonlinear dynamics. The tools needed to study chaotic phenomena are entirely different from those used to study periodic or quasi-periodic systems; these tools are analytic and measure-theoretic rather than geometric. For example, in throwing a die, we can study the limiting behavior of the system by viewing the long-term behavior of individual orbits. This would reveal incomprehensibly complex behavior. Or we can shift our perspective: Instead of viewing the long-term outcomes themselves, we can view the probabilities of these outcomes. This is the measure-theoretic approach taken in this book.
Author : Marie Paule Malliavin
Publisher :
ISBN 13 : 9783662188163
Total Pages : 284 pages
Book Rating : 4.1/5 (881 download)
Download or read book Topics in Invariant Theory written by Marie Paule Malliavin and published by . This book was released on 2014-09-01 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oliver E. Glenn
Publisher :
ISBN 13 : 9789393971746
Total Pages : 214 pages
Book Rating : 4.9/5 (717 download)
Download or read book A Treatise on the Theory of Invariants written by Oliver E. Glenn and published by . This book was released on 1995-06 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1 THE PRINCIPLES OF INVARIANT THEORY 2 PROPERTIES OF INVARIANTS 3 THE PROCESSES OF INVARIANT THEORY 4 REDUCTION 5 GORDAN'S THEOREM 6 FUNDAMENTAL SYSTEMS 7 COMBINANTS AND RATIONAL CURVES 8 SEMINVARIANTS. MODULAR INVARIANTS 9 INVARIANTS OF TERNARY FORMS
Author : Jean Alexandre Dieudonné
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.3/5 (91 download)
Download or read book Invariant Theory, Old and New written by Jean Alexandre Dieudonné and published by . This book was released on 1971 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
