Stability of Dynamical Systems
On the Role of Monotonic and NonMonotonic Lyapunov Functions

 USD 89.99

 USD 89.99
Descripción de editorial
The second edition of this textbook provides a single source for the analysis of system models represented by continuoustime and discretetime, finitedimensional and infinitedimensional, 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 nonmonotonicLyapunov 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, pulsewidthmodulated 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 nonmonotonic Lyapunov functions
 Specialization of this stability theory to finitedimensional dynamical systems
 Specialization of this stability theory to infinitedimensional dynamical systems
Replete with examples and requiring only a basic knowledge of linear algebra, analysis, and differential equations, this bookcan be used as a textbook for graduate courses in stability theory of dynamical systems. It may also serve as a selfstudy reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, economics, and the physical and life sciences.
Review of the First Edition:
“The authors have done an excellent job maintaining the rigor of the presentation, and in providing standalone statements for diverse types of systems. [This] is a very interesting book which complements the existing literature. [It] is clearly written, and difficult concepts are illustrated by means of good examples.”
 Alessandro Astolfi, IEEE Control Systems Magazine, February 2009
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