Linear System Theory, Second Edition

__Linear System Theory, Second Edition__, outlines the basic theory of linear systems in a unified, accessible, and careful manner, with parallel, independent treatment of continuous-time and discrete-time linear systems. Chapter Dependence Chart -- 1. Mathematical Notation And Review -- 2. State Equation Representation -- 3. State Equation Solution -- 4. Transition Matrix Properties -- 5. Two Important Cases -- 6. Internal Stability -- 7. Lyapunov Stability Criteria -- 8. Additional Stability Criteria -- 9. Controllability And Observability -- 10. Realizability -- 11. Minimal Realization -- 12. Input-output Stability -- 13. Controller And Observer Forms -- 14. Linear Feedback -- 15. State Observation -- 16. Polynomial Fraction Description -- 17. Polynomial Fraction Applications -- 18. Geometric Theory -- 19. Applications Of Geometric Theory -- 20. Discrete Time: State Equations -- 21. Discrete Time: Two Important Cases -- 22. Discrete Time: Internal Stability -- 23. Discrete Time: Lyapunov Stability Criteria -- 24. Discrete Time: Additional Stability Criteria -- 25. Discrete Time: Reachability And Observability -- 26. Discrete Time: Realization -- 27. Discrete Time: Input-output Stability -- 28. Discrete Time: Linear Feedback -- 29. Discrete Time: State Observation. Wilson J. Rugh. Includes Bibliographical References And Indexes. The material is the theory of time-varying linear systems, in both continuous- and discrete-time, with frequent specialization to the time-invariant case. Additional material, included for flexibility in the curriculum, explores refinements and extensions, many confined to time-invariant linear systems.