1.

Record Nr.

UNISA996418270203316

Autore

Oberst Ulrich

Titolo

Linear Time-Invariant Systems, Behaviors and Modules [[electronic resource] /] / by Ulrich Oberst, Martin Scheicher, Ingrid Scheicher

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020

ISBN

3-030-43936-4

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (xi, 750 pages)

Collana

Differential-Algebraic Equations Forum, , 2199-7497

Disciplina

512.55

Soggetti

Matrix theory

Algebra

Topology

Fourier analysis

Partial differential equations

Differential equations

Linear and Multilinear Algebras, Matrix Theory

Fourier Analysis

Partial Differential Equations

Ordinary Differential Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.