Stability Theory

The book is an outgrowth of the international conference "Centennial Hurwitz on Stability Theory" which was held to honor Adolf Hurwitz, whose arti­ cle on the location of roots of a polynomial was published one hundred years ago. This volume contains Hurwitz's seminal paper on stability theorem, and a collection of papers on its historical development. The emphasis, however, is on modern stability theory and its applications in control theory and numerical mathematics. Special attention is given to stability of linear and nonlinear problems, time-dependent systems, discretizations of ordinary and partial differential equations, systems with time delay and multi-dimensional systems. In addition, robust stability, pole placement and problems related to the stability radius are considered.