Stability of Dynamical Systems Books

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The Stability of Dynamical Systems


The Stability of Dynamical Systems
  • Author : J. P. LaSalle
  • Publisher : SIAM
  • Release : 1976
  • ISBN : 1611970431
  • Language : En, Es, Fr & De
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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.

Stability Theory of Dynamical Systems


Stability Theory of Dynamical Systems
  • Author : N.P. Bhatia
  • Publisher : Springer Science & Business Media
  • Release : 2002-01-10
  • ISBN : 3540427481
  • Language : En, Es, Fr & De
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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."

Dynamical Systems Stability Theory and Applications


Dynamical Systems  Stability Theory and Applications
  • Author : Nam P. Bhatia
  • Publisher : Springer Verlag
  • Release : 1967
  • ISBN : UOM:39015014359908
  • Language : En, Es, Fr & De
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Stability of Dynamical Systems


Stability of Dynamical Systems
  • Author : Xiaoxin Liao
  • Publisher : Elsevier
  • Release : 2007-08-01
  • ISBN : 0080550614
  • Language : En, Es, Fr & De
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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

Stability of Dynamical Systems


Stability of Dynamical Systems
  • Author : Anthony N. Michel
  • Publisher : Springer Science & Business Media
  • Release : 2008
  • ISBN : 9780817644864
  • Language : En, Es, Fr & De
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Filling a gap in the literature, this volume offers the first comprehensive analysis of all the major types of system models. Throughout the text, there are many examples and applications to important classes of systems in areas such as power and energy, feedback control, artificial neural networks, digital signal processing and control, manufacturing, computer networks, and socio-economics. 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 a huge variety of fields.