Linear time-invariant systems, behaviors and modules
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 f…
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- Full title :Linear time-invariant systems, behaviors and modules / Ulrich Oberst, Martin Scheicher, Ingrid Scheicher.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2020.
Publication Statements
- Publisher(s):Springer
- Place of Publication:Cham
- Language:eng
- Publication Date:2020.
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9783030439361, 3030439364
- DOI:10.1007/978-3-030-43936-1
- oclc:on1162846220
- LC Classification:QA402
- Dewey Decimal:003/.74
Table of Contents
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.
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