Screen LibraryThe theory of linear systems /
The Theory of Linear Systems.
Saved in:
| Main Authors: | |
|---|---|
| Corporate Authors: | |
| Published: |
Academic Press,
|
| Publisher Address: | New York : |
| Publication Dates: | 1971. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Electrical science
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| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9780126016505 |
| Summary: |
The Theory of Linear Systems. |
| Carrier Form: | 1 online resource (xi, 329 pages). |
| Bibliography: | Includes bibliographical references. |
| ISBN: |
9781483219875 1483219879 |
| Index Number: | QA402 |
| CLC: | N94 |
| Contents: |
Front Cover; The Theory of Linear Systems; Copyright Page; Table of Contents; Preface; Acknowledgments; Chapter 1. The Search for an Internal Structure; 1.1. Introduction; 1.2. The State of a System: An Example; 1.3. Transfer Functions and State; 1.4. Some Conclusions and a Program; Chapter 2. An Introduction to the Theory of Linear Spaces; 2.1. Introduction; 2.2. Sets and Operations on Sets; 2.3. Functions; 2.4. Linear Spaces; 2.5. Basis and Dimension1; 2.6. Linear Transformations and Matrices; 2.7. Inverse Operators and Inverse Matrices; 2.8. Metric Properties of Linear Spaces. Norms 2.9. Inner Products. Adjoint Operators2.10. An Introduction t o Matrix Algebra; Chapter 3. Differential Systems I; 3.1. Introduction; 3.2. The Homogeneous System; 3.3. Fundamental Matrices; 3.4. The Transition Matrix; 3.5. The Adjoint System; 3.6. The General Solution of Nonhomogeneous Systems; 3.7. A Summary and Some Conclusions; SUPPLEMENTARY NOTES AND REFERENCES; REFERENCES; Chapter 4. Differential Systems II; 4.1. Introduction; 4.2. Similarity, Eigenvalues, and Eigenvectors; 4.3. Reduction; 4.4. Diagonal ization; 4.5. More on Reduction; 4.6. Functions of Matrices SUPPLEMENTARY NOTES AND REFERENCESREFERENCES; Chapter 5. Controllability, Observability; 5.1. Introduction; 5.2. Controllability; 5.3. A Necessary and Sufficient Condition for Controllability; 5.4. A Necessary and Sufficient Condition for the Controllability of Constant Systems; 5.5. Transformation and Controllability; 5.6. Controllability and Transfer Functions; 5.7. A Condition for the Controllability of Time-Varying Systems; 5.8. Observability; 5.9. The Controllability and Observability of Composite Systems; 5.10. Normal Systems; 5.11. Output Controllability 5.12. Total Controllability. Total Observability5.13. The Attainable Set; 5.14. The Phase-Canonical Form; SUPPLEMENTARY NOTES AND REFERENCES; REFERENCES; Chapter 6. Synthesis; 6.1. Introduction; 6.2. Some Results on the Synthesis of Weighting Patterns; 6.3. Introduction to Synthesis; 6.4. A Method of Synthesis; 6.5. Analytic Systems; 6.6. The Reduction to Minimal Order in the General Case; 6.7. The Observer; SUPPLEMENTARY NOTES AND REFERENCES; REFERENCES; Chapter 7. Difference Systems; 7.1. Introduction; 7.2. The Homogeneous System; 7.3. The Nonhomogeneous System; 7.4. A Summary 7.5. Controllability, ObservabilitySUPPLEMENTARY NOTES AND REFERENCES; REFERENCE; Chapter 8. Stability; 8.1. Introduction; 8.2. The Stability of Constant Systems; 8.3. Exponential Stability; 8.4. External Stability, Controllability, Observability and Exponential Stability; 8.5. The Stability of Difference Systems; SUPPLEMENTARY NOTES AND REFERENCES; REFERENCES; Chapter 9. Infinite Dimensions; 9.1. Introduction; 9.2. Some Further Mathematical Topics; 9.3. Dynamical Systems; 9.4. Semigroups and Infinitesimal Generators; 9.5. Infinitesimal Generators and Resolvents |