Nonlinear Optimal Control Theory

Chapter 9

Systems Govern ed by

Integrodifferential Systems

9.1 Introduction

In this chapter we treat problems governe d by integrodifferential systems

[65], [67]. In Section 9.2 we present a version of the problems of interest and

discuss existence. In Section 9.3 we specialize to systems linear in the state.

In the next se ction we discuss linear systems and the bang-bang principle. In

Section 9.5 we pre sent a second version o f the problem of interest. In Sec-

tion 9.6 we discuss so-called linear plant quadratic cost criterion. We close the

chapter by presenting minimum principle for a constrained problem governed

by an integral eq uation.

9.2 Problem ...