* First unified book covering the analysis of all the major types of dynamical systems models * Many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, and artificial neural networks * Real-world applications to manufacturing and computer load balancing problems * Exercises and minimal prerequisites make the work suitable as a textbook for graduate courses in stability theory of dynamical systems * The book may also be used as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics
Preface.- Introduction.- Dynamical Systems.- Fundamental Theory: The Principal Stability and Boundedness Results on Metric Spaces.- Fundamental Theory: Specialized Stability and Boundedness Results on Metric Spaces.- Applications to a Class of Discrete-Event Systems.- Finite-Dimensional Dynamical Systems.- Finite-Dimensional Dynamical Systems: Specialized Results.- Applications to Finite-Dimensional Dynamical Systems.- Infinite-Dimensional Dynamical Systems.- Index
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