Preface

These note s expan d te n lecture s give n a t a regiona l conferenc e i n Lincoln ,

Nebraska. Th e objective is to describe the idea behind a broad variety of topics

in a brief volume. Th e conference assemble d a wide variety o f scientists: pur e

mathematicians o n one hand an d engineer s on the other. Consequentl y on e of

the constraints o n thes e note s wa s tha t the y stak e ou t a middl e groun d an d

make th e extreme s accessibl e t o mos t conferenc e participants . However , thes e

extremes provide d a distinctiv e flavor which i s missin g fro m thes e notes . I n

particular talk s by other participants gav e substantial practic e i n applying th e

results of Chapter 5 and Chapter 8 to control problems.

This volume splits into four parts which are nearly independent. A n approxi-

mate description of what you must have read in order to read a particular chapter

is:

-tU-HZl

Part I

Part I

-*GD

SKETCHY

NO PROOFS

(proofs use 5)