Linear Time-Invariant Systems, Behaviors and Modules. 1st ed. 2020

種類:

電子ブック

責任表示:

by Ulrich Oberst, Martin Scheicher, Ingrid Scheicher

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2020

著者名:

• Oberst, Ulrich.
• Scheicher, Martin.
• Scheicher, Ingrid.
• SpringerLink (Online service)

シリーズ名:

Differential-Algebraic Equations Forum ;

ISBN:

9783030439361 [3030439364]    

注記:

1. A Survey of the Book's Content -- 2. The Language and Fundamental Properties of Behaviors -- 3. Observability, Autonomy and Controllability of Behaviors -- 4. Applications of the Chinese Remainder Theorem -- 5. Input/ Output Behaviors -- 6. Interconnections of Input/ Output Behaviors -- 7. The Transfer Matrix as Operator or Input/ Output Map -- 8. Stability via Quotient Modules -- 9. Compensators -- 10. Observers -- 11. Canonical State Space Realizations -- 12. Generalized Fractional Calculus.
This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time. Using a number of new mathematical methods it provides complete and exact proofs of all the systems theoretic and electrical engineering results, as well as important results and algorithms demonstrated with nontrivial computer examples. The book is intended for readers who have completed the first two years of a university mathematics course. All further mathematical results required are proven in the book.

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