By Anthony N. Michel,Ling Hou,Derong Liu
The moment variation of this textbook provides a unmarried resource for the research of approach types represented by way of continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and non-stop and discontinuous dynamical systems. For those process types, it provides effects which include the classical Lyapunov balance thought concerning monotonic Lyapunov capabilities, in addition to corresponding modern balance effects regarding non-monotonic Lyapunov functions. particular examples from a number of diversified parts are given to illustrate the applicability of the built thought to many vital sessions of structures, together with electronic keep watch over structures, nonlinear regulator structures, pulse-width-modulated suggestions regulate platforms, and synthetic neural networks.
The authors hide the next 4 common topics:
- Representation and modeling of dynamical structures of the categories defined above
- Presentation of Lyapunov and Lagrange balance idea for dynamical platforms outlined on common metric areas concerning monotonic and non-monotonic Lyapunov functions
- Specialization of this balance thought to finite-dimensional dynamical platforms
- Specialization of this balance thought to infinite-dimensional dynamical systems
Replete with examples and requiring just a uncomplicated wisdom of linear algebra, research, and differential equations, this e-book can be utilized as a textbook for graduate classes in balance conception of dynamical systems. it might probably additionally function a self-study reference for graduate scholars, researchers, and practitioners in utilized arithmetic, engineering, machine technology, economics, and the actual and lifestyles sciences.
Review of the 1st Edition:
“The authors have performed a great task protecting the rigor of the presentation, and in offering standalone statements for various different types of systems. [This] is a truly fascinating booklet which enhances the present literature. [It] is obviously written, and tough strategies are illustrated through stable examples.”
- Alessandro Astolfi, IEEE keep an eye on platforms journal, February 2009
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Additional resources for Stability of Dynamical Systems: On the Role of Monotonic and Non-Monotonic Lyapunov Functions (Systems & Control: Foundations & Applications)
Stability of Dynamical Systems: On the Role of Monotonic and Non-Monotonic Lyapunov Functions (Systems & Control: Foundations & Applications) by Anthony N. Michel,Ling Hou,Derong Liu