Nonlinear Feedback Control

An introduction to the modern operator-theoretic approach to non-linear feedback systems. It presents a basic introduction to one of the two principal approaches to the theory of non-linear control systems and assumes only a basic background in real and functional analysis.

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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.