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Rudolf Emil Kalman, Peter L Falb, Michael A Arbib

1969

1

McGraw-Hill

TOPICS IN MATHEMATICAL SYSTEM THEORY Page 1 TOPICS IN MATHEMATICAL SYSTEM THEORY RE Kalman Stanford University PL Falb Brown University MA Arbib Stanford University McGraw-Hill Book Company New York San Francisco St. Louis Toronto London Sydney Page 2 Table of contents Preface vii GENERAL INTRODUCTION RE Kalman, PL Falb, and MA Arbib Chapter 1 Reader's guide 3 1.1 Systems and states 3 1.2 Elementary control theory 13 1.3 Optimal control theory 14 1.4 Automata 17 1.5 Algebraic theory of linear systems 20 Part one ELEMENTARY CONTROL THEORY FROM THE MODERN POINT OF VIEW RE Kalman Chapter 3 2.1 2.2 2.3 2A 2.5 2.6 2.7 Theory of regulators of linear plants Formulation of the control problem Smooth linear systems Constant linear systems Coordinate changes and canonical forms The concept of a control law State determination Construction of the …