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Author : Gábor Stépán
Publisher : Longman Sc & Tech
ISBN 13 : 9780470213353
Total Pages : 151 pages
Book Rating : 4.2/5 (133 download)
Download or read book Retarded Dynamical Systems written by Gábor Stépán and published by Longman Sc & Tech. This book was released on 1989 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gabor Stépan
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (859 download)
Download or read book Retarded Dynamical Systems written by Gabor Stépan and published by . This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. Stépán
Publisher :
ISBN 13 : 9780881678659
Total Pages : 151 pages
Book Rating : 4.6/5 (786 download)
Download or read book Retarded dynamical systems written by G. Stépán and published by . This book was released on 1992 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Muo Shuen Lee
Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.:/5 (22 download)
Download or read book A T-decomposition Method of Stability Analysis for Retarded Dynamical Systems written by Muo Shuen Lee and published by . This book was released on 1968 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817644865
Total Pages : 516 pages
Book Rating : 4.8/5 (176 download)
Download or read book Stability of Dynamical Systems written by and published by Springer Science & Business Media. This book was released on 2008 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneously include components whose states evolve along continuous time and discrete instants; components whose descriptions may exhibit nonlinearities, time lags, transportation delays, hysteresis effects, and uncertainties in parameters; and components that cannot be described by various classical equations, as in the case of discrete-event systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finite-dimensional and infinite-dimensional systems; continuous-time and discrete-time systems; continuous continuous-time and discontinuous continuous-time systems; and hybrid systems involving a mixture of continuous and discrete dynamics. Filling a gap in the literature, this textbook presents the first comprehensive stability analysis of all the major types of system models described above. Throughout the book, the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discrete-event systems (with applications to manufacturing and computer load balancing problems) and a multicore nuclear reactor model. The book covers the following four general topics: * Representation and modeling of dynamical systems of the types described above * Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces * Specialization of this stability theory to finite-dimensional dynamical systems * Specialization of this stability theory to infinite-dimensional dynamical systems Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics.
Author : J. P. LaSalle
Publisher : SIAM
ISBN 13 : 9781611970432
Total Pages : 81 pages
Book Rating : 4.9/5 (74 download)
Download or read book The Stability of Dynamical Systems written by J. P. LaSalle and published by SIAM. This book was released on 1976-01-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to aspects of the theory of dynamial systems based on extensions of Liapunov's direct method. The main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations. The latest results on invariance properties for non-autonomous time-varying systems processes are presented for difference and differential equations.
Author : Jack K. Hale
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (227 download)
Download or read book Infinite Dimensional Dynamical Systems written by Jack K. Hale and published by . This book was released on 1981 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approach is outlined for the discussion of the qualitative theory of infinite dimensional dynamical systems. Retarded functional differential equations are used to illustrate the usefulness of the approach and the limitations of our present knowledge. (Author).
Author : J. P. LaSalle
Publisher : SIAM
ISBN 13 : 0898710227
Total Pages : 81 pages
Book Rating : 4.8/5 (987 download)
Download or read book The Stability of Dynamical Systems written by J. P. LaSalle and published by SIAM. This book was released on 1976-01-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to aspects of the theory of dynamical systems based on extensions of Liapunov's direct method. The main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations.
Author : Wassim M. Haddad
Publisher : Princeton University Press
ISBN 13 : 1400832241
Total Pages : 624 pages
Book Rating : 4.4/5 (8 download)
Download or read book Nonnegative and Compartmental Dynamical Systems written by Wassim M. Haddad and published by Princeton University Press. This book was released on 2010-01-04 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book provides the first unified framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in a wide range of fields, including engineering, thermal sciences, biology, ecology, economics, genetics, chemistry, medicine, and sociology. Using the highest standards of exposition and rigor, the authors explain these systems and advance the state of the art in their analysis and active control design. Nonnegative and Compartmental Dynamical Systems presents the most complete treatment available of system solution properties, Lyapunov stability analysis, dissipativity theory, and optimal and adaptive control for these systems, addressing continuous-time, discrete-time, and hybrid nonnegative system theory. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers, as well as for researchers and graduate students who want to understand the behavior of nonnegative and compartmental dynamical systems that arise in areas such as biomedicine, demographics, epidemiology, pharmacology, telecommunications, transportation, thermodynamics, networks, heat transfer, and power systems.
Author : Waldyr Muniz Oliva
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (897 download)
Download or read book Retarded Equations on the Sphere Induced Linear Equations written by Waldyr Muniz Oliva and published by . This book was released on 1982 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Werner Krabs
Publisher : Springer Science & Business Media
ISBN 13 : 3642137229
Total Pages : 245 pages
Book Rating : 4.6/5 (421 download)
Download or read book Dynamical Systems written by Werner Krabs and published by Springer Science & Business Media. This book was released on 2010-08-03 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the end of the nineteenth century Lyapunov and Poincaré developed the so called qualitative theory of differential equations and introduced geometric- topological considerations which have led to the concept of dynamical systems. In its present abstract form this concept goes back to G.D. Birkhoff. This is also the starting point of Chapter 1 of this book in which uncontrolled and controlled time-continuous and time-discrete systems are investigated. Controlled dynamical systems could be considered as dynamical systems in the strong sense, if the controls were incorporated into the state space. We, however, adapt the conventional treatment of controlled systems as in control theory. We are mainly interested in the question of controllability of dynamical systems into equilibrium states. In the non-autonomous time-discrete case we also consider the problem of stabilization. We conclude with chaotic behavior of autonomous time discrete systems and actual real-world applications.
Author : Bernd Krauskopf
Publisher : Springer
ISBN 13 : 1402063563
Total Pages : 399 pages
Book Rating : 4.4/5 (2 download)
Download or read book Numerical Continuation Methods for Dynamical Systems written by Bernd Krauskopf and published by Springer. This book was released on 2007-11-06 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation. This book has been compiled on the occasion of Sebius Doedel's 60th birthday. Bringing together for the first time a large amount of material in a single, accessible source, it is hoped that the book will become the natural entry point for researchers in diverse disciplines who wish to learn what numerical continuation techniques can achieve. The book opens with a foreword by Herbert B. Keller and lecture notes by Sebius Doedel himself that introduce the basic concepts of numerical bifurcation analysis. The other chapters by leading experts discuss continuation for various types of systems and objects and showcase examples of how numerical bifurcation analysis can be used in concrete applications. Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay. Three chapters review physical applications: the dynamics of a SQUID, global bifurcations in laser systems, and dynamics and bifurcations in electronic circuits.
Author :
Publisher :
ISBN 13 :
Total Pages : 57 pages
Book Rating : 4.:/5 (227 download)
Download or read book Control of Dynamical Systems written by and published by . This book was released on 1976 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of arbitrarily assigning closed loop poles of a linear multivariable system developed a new method, a generalization of the classical root locus method. Studies have also been conducted on the attainment to stable solutions of model matching problems. A technique was developed, based on a modified minimum energy regulator problem, to obtain feedback stabilization of linear time varying differential systems. Two methods of parameter identification for linear differential systems were developed. A study was made of bilinear control systems with applications to parachute gliding systems and the pursuit-evasion missile control problem. Studies were made of linear operator feedback for the compensation and control of multivariable systems. A number of computational methods and techniques for control problems with diffusion models were developed, in addition to the study of the application of Monte Carlo methods for the optimization of constrained noisy systems. The study of bifurcation problems has been pursued from the abstract viewpoint and for specific applications. Studies were continued for systems described by ordinary and functional differential equations.
Author : Chieh Su Hsu
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (713 download)
Download or read book ASME 70-APM-V written by Chieh Su Hsu and published by . This book was released on 1970 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.A. Martynyuk
Publisher : CRC Press
ISBN 13 : 1439876878
Total Pages : 310 pages
Book Rating : 4.4/5 (398 download)
Download or read book Uncertain Dynamical Systems written by A.A. Martynyuk and published by CRC Press. This book was released on 2011-11-28 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. Each chapter contains new conditions of stability of unperturbed motion of the abo
Author : Harvey Thomas Banks
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (873 download)
Download or read book Control of Dynamical Systems written by Harvey Thomas Banks and published by . This book was released on 1978 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rex Clark Robinson
Publisher : American Mathematical Soc.
ISBN 13 : 0821891359
Total Pages : 763 pages
Book Rating : 4.8/5 (218 download)
Download or read book An Introduction to Dynamical Systems written by Rex Clark Robinson and published by American Mathematical Soc.. This book was released on 2012 with total page 763 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a mathematical treatment of the introduction to qualitative differential equations and discrete dynamical systems. The treatment includes theoretical proofs, methods of calculation, and applications. The two parts of the book, continuous time of differential equations and discrete time of dynamical systems, can be covered independently in one semester each or combined together into a year long course. The material on differential equations introduces the qualitative or geometric approach through a treatment of linear systems in any dimension. There follows chapters where equilibria are the most important feature, where scalar (energy) functions is the principal tool, where periodic orbits appear, and finally, chaotic systems of differential equations. The many different approaches are systematically introduced through examples and theorems. The material on discrete dynamical systems starts with maps of one variable and proceeds to systems in higher dimensions. The treatment starts with examples where the periodic points can be found explicitly and then introduces symbolic dynamics to analyze where they can be shown to exist but not given in explicit form. Chaotic systems are presented both mathematically and more computationally using Lyapunov exponents. With the one-dimensional maps as models, the multidimensional maps cover the same material in higher dimensions. This higher dimensional material is less computational and more conceptual and theoretical. The final chapter on fractals introduces various dimensions which is another computational tool for measuring the complexity of a system. It also treats iterated function systems which give examples of complicated sets. In the second edition of the book, much of the material has been rewritten to clarify the presentation. Also, some new material has been included in both parts of the book. This book can be used as a textbook for an advanced undergraduate course on ordinary differential equations and/or dynamical systems. Prerequisites are standard courses in calculus (single variable and multivariable), linear algebra, and introductory differential equations.
