{"product_id":"linear-continuoustime-systems-9781138039506","title":"Linear ContinuousTime Systems","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book aims to help the reader understand the linear continuous-time time-invariant dynamical systems theory and its importance for systems analysis and design of the systems operating in real conditions, i.e., in forced regimes \u003cb\u003e\u003ci\u003eunder arbitrary initial conditions\u003c\/i\u003e\u003c\/b\u003e. The text completely covers IO, ISO and IIO systems. It introduces the concept of the \u003cb\u003e\u003ci\u003esystem full matrix\u003c\/i\u003e\u003c\/b\u003e P(s) in the complex domain and establishes its link with the also newly introduced \u003cb\u003e\u003ci\u003esystem full transfer function matrix\u003c\/i\u003e\u003c\/b\u003e \u003ci\u003eF(s)\u003c\/i\u003e. The text establishes the full block diagram technique based on the use of \u003ci\u003eF(s)\u003c\/i\u003e, which incorporates the Laplace transform of the input vector and the vector of all initial conditions. It explores the direct relationship between the system full transfer function matrix \u003ci\u003eF(s)\u003c\/i\u003e and the Lyapunov stability concept, definitions and conditions, as well as with the BI stability concept, definitions, and conditions. The goal of the book is to u\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003ePreface. \u003cb\u003ePart I Basic Topics of Linear Continuous-Time Time-Invariant Dynamical Systems\u003c\/b\u003e. Introduction. Classes of Systems. System Regimes. Transfer Function Matrix G(S). \u003cb\u003ePart II Full Transfer Function Matrix F(S) and System Realization\u003c\/b\u003e. 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). \u003cb\u003ePart III Stability Study\u003c\/b\u003e. Lyapunov Stability. Bounded Input Stability. \u003cb\u003ePart IV Conclusion\u003c\/b\u003e. Motivation for the Book. Summary of the Contributions. Future Teaching and Research. \u003cb\u003ePart V Appendices\u003c\/b\u003e. 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.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":49407211667799,"sku":"9781138039506","price":142.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781138039506.jpg?v=1730498583","url":"https:\/\/bookcurl.com\/products\/linear-continuoustime-systems-9781138039506","provider":"Book Curl","version":"1.0","type":"link"}