Download E-books Stability of Dynamical Systems: On the Role of Monotonic and Non-Monotonic Lyapunov Functions (Systems & Control: Foundations & Applications) PDF

The moment variation of this textbook  provides a unmarried resource for the research of procedure types represented through continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and non-stop and discontinuous dynamical systems.  For those method types, it provides effects which include the classical Lyapunov balance concept related to monotonic Lyapunov services, in addition to corresponding modern balance effects related to non-monotonic Lyapunov functions.  particular examples from a number of varied components are given to illustrate the applicability of the constructed concept to many vital periods of structures, together with electronic keep watch over structures, nonlinear regulator structures, pulse-width-modulated suggestions keep watch over structures, and synthetic neural networks.

 The authors conceal the subsequent 4 normal topics:

 - Representation and modeling of dynamical platforms of the categories defined above

- Presentation of Lyapunov and Lagrange balance concept for dynamical platforms outlined on normal metric areas related to monotonic and non-monotonic Lyapunov functions

- Specialization of this balance concept to finite-dimensional dynamical platforms

- Specialization of this balance conception to infinite-dimensional dynamical systems

Replete with examples and requiring just a simple wisdom of linear algebra, research, and differential equations, this booklet can be utilized as a textbook for graduate classes in balance concept of dynamical systems.  it might probably additionally function a self-study reference for graduate scholars, researchers, and practitioners in utilized arithmetic, engineering, computing device technology, economics, and the actual and existence sciences.

Review of the 1st Edition:

“The authors have performed a very good activity protecting the rigor of the presentation, and in offering standalone statements for varied sorts of systems.  [This] is a really attention-grabbing publication which enhances the present literature. [It] is obviously written, and hard suggestions are illustrated via strong examples.”

- Alessandro Astolfi, IEEE keep an eye on platforms journal, February 2009

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