This paper derives new results in non-linear system analysis using methods inspired from
fluid mechanics and differential geometry. Based on a differential analysis of convergence …

It is now more than a decade since I wrote the book Nonlinear Systems Analysis. Since that
time, several developments have taken place in this area which have made it desirable to …

Linear and nonlinear feedback control systems differ fundamentally in a number of
characteristics. It is well known that the most fundamental characteristic of a linear system is …

This textbook on the differential geometric approach to nonlinear control grew out of a set of
lecture notes, which were prepared for a course on nonlinear system theory, given by us for …

We present a unified approach to a complex of related issues in control theory, one based to
a great extent on the methods of nonsmooth analysis. The issues include invariance …

This book provides a unique and alternative approach to the study of nonlinear control
systems, with applications. The approach presented is based on the use of algebraic …

Contraction analysis is a recent tool for analyzing the convergence behavior of nonlinear
systems in state-space form (see Lohmiller and Slotine [16] for the main reference) …

The analysis and design of control systems has been greatly influenced by the mathematical
tools being used. Maxwell introduced linear differential equations in the 1860's. Nyquist …

Methods for determining the response of continuous systems with quadratic and cubic
nonlinearities are discussed. We show by means of a simple example that perturbation and …

Around 1970 the study of nonlinear control systems took a sharp turn. In part, this was driven
by the hope for a more inclusive theory which would be applicable to various newly …