The first part of the book outlines the relevant fundamentals of benchmark models and mathematical basics. The second concentrates on theconstruction of nonsmooth Lyapunov functions. Part III covers design and applications material.

This book will benefit the academic research and graduate student interested in the mathematics of Lyapunov equations and variable-structure control, stability analysis and robust feedback design for discontinuous systems. It will also serve the practitioner working with applications of such systems. The reader should have some knowledge of dynamical systems theory, but no background in discontinuous systems is required¿they are thoroughly introduced in both finite- and infinite-dimensional settings.