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010   $a3-030-43936-4
024 7 $a10.1007/978-3-030-43936-1
035   $a(CKB)4100000011321158
035   $a(MiAaPQ)EBC6238656
035   $a(DE-He213)978-3-030-43936-1
035   $a(PPN)248596764
035   $a(EXLCZ)994100000011321158
100   $a20200627d2020      u|             0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aLinear Time-Invariant Systems, Behaviors and Modules$b[electronic resource] /$fby Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (xi, 750 pages)
225 1 $aDifferential-Algebraic Equations Forum,$x2199-7497
311   $a3-030-43935-6 
320   $aIncludes bibliographical references and index.
327   $a1. 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.
330   $aThis book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time. Using a number of new mathematical methods it provides complete and exact proofs of all the systems theoretic and electrical engineering results, as well as important results and algorithms demonstrated with nontrivial computer examples. The book is intended for readers who have completed the first two years of a university mathematics course. All further mathematical results required are proven in the book.
410  0$aDifferential-Algebraic Equations Forum,$x2199-7497
606   $aMatrix theory
606   $aAlgebra
606   $aTopology
606   $aFourier analysis
606   $aPartial differential equations
606   $aDifferential equations
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
606   $aTopology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28000
606   $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
615  0$aMatrix theory.
615  0$aAlgebra.
615  0$aTopology.
615  0$aFourier analysis.
615  0$aPartial differential equations.
615  0$aDifferential equations.
615 14$aLinear and Multilinear Algebras, Matrix Theory.
615 24$aTopology.
615 24$aFourier Analysis.
615 24$aPartial Differential Equations.
615 24$aOrdinary Differential Equations.
676   $a512.55
700   $aOberst$b Ulrich$4aut$4http://id.loc.gov/vocabulary/relators/aut$01015109
702   $aScheicher$b Martin$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aScheicher$b Ingrid$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996418270203316
996   $aLinear Time-Invariant Systems, Behaviors and Modules$92368781
997   $aUNISA