Author | Delchamps, David F. author |
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Title | State Space and Input-Output Linear Systems [electronic resource] / by David F. Delchamps |
Imprint | New York, NY : Springer New York, 1988 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-3816-4 |
Descript | X, 425 p. online resource |
I Mathematical Preliminaries -- 1. Some Linear Algebra -- 2. Linear Differential Equations: Existence and Uniqueness Theorems -- 3. Linear Difference Equations -- 4. Some More Linear Algebra -- 5. Dual Spaces, Norms, and Inner Products -- II State Space Linear Systems -- 6. State Space Linear Systems: Formal Definitions and General Properties -- 7. Realizations -- 8. Eigenvectors, Eigenvalues, and Normal Modes -- 9. The M + N Decomposition for Matrices Which are Not Semi-Simple -- 10. Complex Matrices and the Unitary Diagonalizability of Hermitian Matrices -- 11. The Jordan Canonical Form -- 12. Positive Definiteness, Matrix Factorization, and an Imperfect Analogy -- 13. Reachability and Controllability for Time-Invariant Continuous-Time Systems -- 14. Reachability and Controllability for Time-Invariant Discrete-Time Systems -- 15. Observability for Time-Invariant Continuous-Time Systems -- 16. Observability and Constructibility for Time-Invariant Discrete-Time Systems -- 17. The Canonical Structure Theorem -- III Input-Output Linear Systems -- 18. Formal Definitions and General Properties -- 19. Frequency Responses and Transfer Functions of Time Invariant Continuous-Time Systems -- 20. Frequency Responses and Transfer Functions of Time-Invariant Discrete-Time Systems -- 21. Realizations and McMillan Degree -- 22. Polynomial Matrices and Matrix Fraction Descriptions -- IV Stability and Feedback -- 23. Stability of State Space Linear Systems -- 24. Stability of Input-Output Linear Systems -- 25. Feedback, Observers, and Canonical Forms -- 26. The Discrete-Time Linear Quadratic Regulator Problem -- 27. The Continuous-Time Linear Quadratic Regulator Problem -- References