Linear Continuous-Time Systems

Preface. Part I Basic Topics of Linear Continuous-Time Time-Invariant Dynamical Systems. Introduction. Classes of Systems. System Regimes. Transfer Function Matrix G(S). Part II Full Transfer Function Matrix F(S) and System Realization. Problem Statement. Nondegenerate Matrices. Definition of F(S). Determination of F(S). Full Block Diagram Algebra. Physical Meaning of F(S). System Matrix and Equivalence. Realizations of F(S). Part III Stability Study. Lyapunov Stability. Bounded Input Stability. Part IV Conclusion. Motivation for the Book. Summary of the Contributions. Future Teaching and Research. Part V Appendices. Appendix A: Notation. Appendix B: From Io System to Iso System. Appendix C: From ISO System to IO System. Appendix D: Relationships Among System Descriptions. Appendix E: Laplace Transforms and Dirac Impulses. Appendix F: Proof of Theorem 142. Appendix G: Example: F(S) of a MIMO System. Appendix H: Proof of Theorem 165. Appendix I: Proof for Example 167. Appendix J: Proof of Theorem 168. Appendix K: Proof of Theorem 176. Appendix L: Proof of Theorem 179. Appendix M: Proof of Theorem 183. Index.