This text was developed over a three year period of time (1971- 1973) from a variety of notes and references used in the presentation of a senior/first year graduate level course in the Division of En gineering at Brown University titled Linear System Theory.
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1 — Introduction.- 2 — Mathematical Preliminaries.- 2.1 Introduction.- 2.2 Linear Vector Spaces.- 2.3 Linear Operators.- 2.4 Scalar Matrices.- 2.5 Polynomial Matrices.- 2.6 Concluding Remarks and References.- Problems — Chapter 2.- 3 — The State Space.- 3.1 Introduction.- 3.2 State Representations.- 3.3 The Determination of eAt.- 3.4 Equivalent Systems.- 3.5 Controllability and Observability.- 3.6 Controllable and Observable Companion Forms.- 3.7 Concluding Remarks and References.- Problems — Chapter 3.- 4 — Frequency Domain Representations.- 4.1 Introduction.- 4.2 The Transfer Matrix.- 4.3 The Structure Theorem.- 4.4 Realization Theory (Time Domain Reduction).- 4.5 Concluding Remarks and References.- Problems — Chapter 4.- 5 — Differential Operator Representations.- 5.1 Introduction.- 5.2 Transfer and Equivalence Relations.- 5.3 Differential Operator Controllability and Observability.- 5.4 Realization Theory (Frequency Domain Reduction).- 5.5 System Invertibility and Functional Reproducibility.- 5.6 Concluding Remarks and References.- Problems — Chapter 5.- 6 — Linear State Variable Feedback.- 6.1 Introduction.- 6.2 Quadratic Optimization.- 6.3 Pole Assignment via the Controllable Companion Form.- 6.4 Asymptotic State Estimation.- 6.5 Concluding Remarks and References.- Problems — Chapter 6.- 7 — Frequency Domain Compensation.- 7.1 Introduction.- 7.2 Frequency Domain Implications of State Feedback.- 7.3 Frequency Domain State Estimation and Feedback.- 7.4 A General Compensation Technique.- 7.5 Concluding Remarks and References.- Problems — Chapter 7.- 8 — Design Objectives.- 8.1 Introduction.- 8.2 Arbitrary Pole Placement.- 8.3 Decoupling.- 8.4 Static Decoupling.- 8.5 Exact Model Matching.- 8.6 Concluding Remarks and References.- Problems — Chapter 8.- References.
Book by Wolovich W A
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