Stability of Dynamical Systems : Continuous, Discontinuous, and Discrete Systems
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The work Stability of Dynamical Systems : Continuous, Discontinuous, and Discrete Systems represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Stability of Dynamical Systems : Continuous, Discontinuous, and Discrete Systems
Resource Information
The work Stability of Dynamical Systems : Continuous, Discontinuous, and Discrete Systems represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Stability of Dynamical Systems : Continuous, Discontinuous, and Discrete Systems
 Title remainder
 Continuous, Discontinuous, and Discrete Systems
 Statement of responsibility
 by Anthony N. Michel, Ling Hou, Derong Liu
 Language

 eng
 eng
 Summary
 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 discreteevent systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finitedimensional and infinitedimensional systems; continuoustime and discretetime systems; continuous continuoustime and discontinuous continuoustime 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, pulsewidthmodulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discreteevent 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 finitedimensional dynamical systems * Specialization of this stability theory to infinitedimensional 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 selfstudy reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics
 Dewey number
 003/.85
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

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 Language note
 English
 LC call number
 QA299.6433
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Systems & Control: Foundations & Applications,
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