Publisher's Synopsis
Semigroup theory provides a unified and a powerful tool for the study of differential equations on Banach space covering systems described by ordinary differential equations, partial differential equations, functional differential equations and combinations thereof.;In recent years, among many other applications, semigroup theory has been widely used in the study of control and stability of systems governed by differential equations on Banach space.;This monograph is an introduction to semigroup theory with applications to control and stability. Chapters I-VI cover semigroup theory with applications to linear, nonlinear and stochastic differential equations on Banach spaces. Chapter VII is devoted to a brief study of stability, control and filtering of infinite dimensional systems.;The monograph is an outgrowth of a series of lectures given by the author at the department of mathematics of the University of Western Australia in Perth in the summer of 1988.
