This book develops the necessary mathematical background and basic results in control theory that are needed to set up and solve a class of multiple objective control design problems. Exact solutions for certain problems are provided, as well as approximations to more general problems. This book is intended for engineering and mathematics graduate students who are interested in control theory and the application of functional analysis and optimization tools to engineering problems.

This book is a collection of work arising from a NSF/ AFOSR sponsored workshop held at the University of California, Santa Barbara, 18-20th June 1992. Sixty-nine researchers, from nine countries, participated. Twelve keynote essays give an overview of the field and speculate on future directions and nineteen technical papers delineate the state of the art in the field. This book serves both as in introduction to the topic and as a reference on the current technical problems and approaches.