Dynamical Systems: Stability Theory and Applications
Author: Nam Parshad Bhatia
Publisher:
Published: 1967
Total Pages: 440
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: Nam Parshad Bhatia
Publisher:
Published: 1967
Total Pages: 440
ISBN-13:
DOWNLOAD EBOOKAuthor: Nam P. Bhatia
Publisher: Springer
Published: 2006-11-14
Total Pages: 423
ISBN-13: 354034974X
DOWNLOAD EBOOKAuthor: N.P. Bhatia
Publisher: Springer Science & Business Media
Published: 2002-01-10
Total Pages: 252
ISBN-13: 9783540427483
DOWNLOAD EBOOKReprint 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: Nam P. Bhatia
Publisher:
Published: 2014-01-15
Total Pages: 428
ISBN-13: 9783662181393
DOWNLOAD EBOOKAuthor:
Publisher: Springer Science & Business Media
Published: 2008
Total Pages: 516
ISBN-13: 0817644865
DOWNLOAD EBOOKIn 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: Robert Rosen
Publisher: John Wiley & Sons
Published: 1970
Total Pages: 330
ISBN-13:
DOWNLOAD EBOOKAuthor: Anatoly A. Martynyuk
Publisher: Birkhäuser
Published: 2016-09-22
Total Pages: 233
ISBN-13: 3319422138
DOWNLOAD EBOOKThis monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems.In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion. In the book “Men of Mathematics,” 1937, E.T.Bell wrote: “A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both.”Mathematical analysis on time scales accomplishes exactly this. This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others.
Author: Firdaus E. Udwadia
Publisher: CRC Press
Published: 2004-05-10
Total Pages: 450
ISBN-13: 0203694589
DOWNLOAD EBOOKThe 11th International Workshop on Dynamics and Control brought together scientists and engineers from diverse fields and gave them a venue to develop a greater understanding of this discipline and how it relates to many areas in science, engineering, economics, and biology. The event gave researchers an opportunity to investigate ideas and techniq
Author: Nam Parshad Bhatia
Publisher:
Published: 1967
Total Pages: 416
ISBN-13:
DOWNLOAD EBOOKAuthor: J. P. LaSalle
Publisher: SIAM
Published: 1976-01-01
Total Pages: 81
ISBN-13: 0898710227
DOWNLOAD EBOOKAn 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.