
Contents
Foreword ix
Preface xi
1 Examples of Control Problems 1
1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 A Problem of Production Planning . . . . . . . . . . . . . . 1
1.3 Chemical Engineering . . . . . . . . . . . . . . . . . . . . . . 3
1.4 Flight Mechanics . . . . . . . . . . . . . . . . . . . . . . . . . 4
1.5 Electrical Engineering . . . . . . . . . . . . . . . . . . . . . . 7
1.6 The Brachistochrone Problem . . . . . . . . . . . . . . . . . 9
1.7 An Optimal Harvesting Problem . . . . . . . . . . . . . . . . 12
1.8 Vibration of a Nonlinear Beam . . . . . . . . . . . . . . . . . 13
2 Formulation of Control Problems ...