Semigroup theory with applications to systems and control

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.