Publisher's Synopsis
Non-linear feedback control is one of the most critical areas in scientific computing, and its applications can be found in virtually every field of engineering and mathematics. A feedback control system is a control system that continually measures variables, compares them to a set norm, and adjusts its performance according to the feedback in order to reduce deviation from the norm. This introduction to non-linear feedback control systems will be beneficial to control systems analysts and engineers. The text is concise and timely, and is written by eminent researchers in the field.;The increasing computational power available to control theorists and engineers is creating an enormous need for theoretical developments in non-linear systems. In addition, the tools needed for analyzing and developing effective numerical methods for non-linear problems are extremely difficult to create. This book presents a mathematically-oriented introduction to the modern operator-theoretic approach to non-linear feedback systems for engineers and others who wish to become familiar with the field. It presents a basic introduction to one of the two principal approaches to the theory of non-linear control systems (the other approach is a differential geometric approach), and assumes only a basic background in real and functional analysis.