The peculiarity of this book is that all back the sampled-data systems are considered in continuous time, so no discrete time schemes are presented. When a mathematician, who looks for practical applications of his mathematical machinery, meets with these systems, he faces a lot of of complicated technical schemes and terms.
The mathematical methods for studying stability and oscillations in control systems with various types of pulse modulation (pulse-width, pulse-frequency, combined and phases in different modifications) are treated in this volume. The approaches developed by the authors include the averaging methods which enable the reader to extend pulse-modulated systems, to absolute stability theory and the fixed-point approach for study of forced oscillations. The book should be useful for researchers, engineers and professionals in control theory and applied mathematics working in the fields of control theory, functional differential equations, dynamical systems and pde's.