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Stability of Dynamical Systems On the Role of Monotonic and Non-Monotonic Lyapunov Functions by Anthony N. Michel - Hardcover
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PRODUCT INFORMATION

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783319152745
    Item EAN
    2724444992285
    People
    Author
    Various
    People
    Publisher
    Birkhauser Verlag AG
    Category Type
    Mathematics
    ISBN
    9783319152745
    Item EAN
    2724444992285
    People
    Author
    Various
    People
    Publisher
    Birkhauser Verlag AG
    Technical Information
    Binding
    Hardcover
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems. For these system models, it presents results which

    The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems. For these system models, it presents results which comprise the classical Lyapunov stability theory involving monotonic Lyapunov functions, as well as corresponding contemporary stability results involving non-monotonic Lyapunov functions. Specific examples from several diverse areas are given to demonstrate the applicability of the developed theory to many important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, and artificial neural networks. The authors cover 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 involving monotonic and non-monotonic Lyapunov functions. Specialization of this stability theory to finite-dimensional dynamical systems. Specialization of this stability theory to infinite-dimensional dynamical systems. Replete with examples and requiring only a basic knowledge of linear algebra, analysis, and differential equations, this book can be used as a textbook for graduate courses in stability theory of dynamical systems. It may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, economics, and the physical and life sciences.

    Product Features:
    • Category Type: Mathematics
    • Author: Anthony N. Michel, Ling Hou and Derong Liu
    • Binding: Hardcover
    • Book Language: English
    • Book Origin: Switzerland
    • Publisher: Birkhauser Verlag AG
    • Publication Year: 2015
    • ISBN: 9783319152745
    • Edition: 2nd
    • Series: Systems & Control: Foundations and Applications
    • Number of Pages: 671
    • Product Dimensions: 23.5 x 15.5 x 3.7 cm
    • Product Weight: 1.27 kg
 

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