Stability Theory Of Dynamical Systems

Author : N.P. Bhatia
Publisher : Springer Science & Business Media
ISBN 13 : 9783540427483
Total Pages : 252 pages
Book Rating : 4.81/5 ( download)

DOWNLOAD NOW!

Download or read book Stability Theory of Dynamical Systems written by N.P. Bhatia and published by Springer Science & Business Media. This book was released on 2002-01-10 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of classic reference work. Over 400 books have been published in the series Classics in Mathematics, many remain standard references for their subject. All books in this series are reissued in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers. "... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an excellent bibliography. The text is well-written, at a level appropriate for the intended audience, and it represents a very good introduction to the basic theory of dynamical systems."

Author : Zhendong Sun
Publisher : Springer Science & Business Media
ISBN 13 : 0857292560
Total Pages : 266 pages
Book Rating : 4.68/5 ( download)

DOWNLOAD NOW!

Download or read book Stability Theory of Switched Dynamical Systems written by Zhendong Sun and published by Springer Science & Business Media. This book was released on 2011-01-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are plenty of challenging and interesting problems open for investigation in the field of switched systems. Stability issues help to generate many complex nonlinear dynamic behaviors within switched systems. The authors present a thorough investigation of stability effects on three broad classes of switching mechanism: arbitrary switching where stability represents robustness to unpredictable and undesirable perturbation, constrained switching, including random (within a known stochastic distribution), dwell-time (with a known minimum duration for each subsystem) and autonomously-generated (with a pre-assigned mechanism) switching; and designed switching in which a measurable and freely-assigned switching mechanism contributes to stability by acting as a control input. For each of these classes this book propounds: detailed stability analysis and/or design, related robustness and performance issues, connections to other control problems and many motivating and illustrative examples.

Author : Nam Parshad Bhatia
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.19/5 ( download)

DOWNLOAD NOW!

Download or read book Dynamical Systems: Stability Theory and Applications written by Nam Parshad Bhatia and published by . This book was released on 1967 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Jacques Leopold Willems
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.00/5 ( download)

DOWNLOAD NOW!

Download or read book Stability Theory of Dynamical Systems written by Jacques Leopold Willems and published by Wiley-Interscience. This book was released on 1970 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817644865
Total Pages : 516 pages
Book Rating : 4.64/5 ( download)

DOWNLOAD NOW!

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 : Xiaoxin Liao
Publisher : Elsevier
ISBN 13 : 0080550614
Total Pages : 719 pages
Book Rating : 4.19/5 ( download)

DOWNLOAD NOW!

Download or read book Stability of Dynamical Systems written by Xiaoxin Liao and published by Elsevier. This book was released on 2007-08-01 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems. Presents comprehensive theory and methodology of stability analysis Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers

Author : Nam Parshad Bhatia
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.44/5 ( download)

DOWNLOAD NOW!

Download or read book Stability Theory of Dynamical Systems written by Nam Parshad Bhatia and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Nam Parshad Bathia
Publisher :
ISBN 13 :
Total Pages : 225 pages
Book Rating : 4.66/5 ( download)

DOWNLOAD NOW!

Download or read book Stability Theory of Dynamical Systems written by Nam Parshad Bathia and published by . This book was released on 2002 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Nam P. Bhatia
Publisher : Springer
ISBN 13 : 354034974X
Total Pages : 423 pages
Book Rating : 4.47/5 ( download)

DOWNLOAD NOW!

Download or read book Dynamical Systems: Stability Theory and Applications written by Nam P. Bhatia and published by Springer. This book was released on 2006-11-14 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Lan Wen
Publisher : American Mathematical Soc.
ISBN 13 : 1470427990
Total Pages : 192 pages
Book Rating : 4.93/5 ( download)

DOWNLOAD NOW!

Download or read book Differentiable Dynamical Systems written by Lan Wen and published by American Mathematical Soc.. This book was released on 2016-07-20 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate text in differentiable dynamical systems. It focuses on structural stability and hyperbolicity, a topic that is central to the field. Starting with the basic concepts of dynamical systems, analyzing the historic systems of the Smale horseshoe, Anosov toral automorphisms, and the solenoid attractor, the book develops the hyperbolic theory first for hyperbolic fixed points and then for general hyperbolic sets. The problems of stable manifolds, structural stability, and shadowing property are investigated, which lead to a highlight of the book, the Ω-stability theorem of Smale. While the content is rather standard, a key objective of the book is to present a thorough treatment for some tough material that has remained an obstacle to teaching and learning the subject matter. The treatment is straightforward and hence could be particularly suitable for self-study. Selected solutions are available electronically for instructors only. Please send email to [email protected] for more information.