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010   $a3-319-16646-8
024 7 $a10.1007/978-3-319-16646-9
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035   $a(PQKBTitleCode)TC0001501596
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035   $a(DE-He213)978-3-319-16646-9
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035   $a(PPN)186030398
035   $a(EXLCZ)993710000000416794
100   $a20150526d2015      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 14$aThe Mathematics of Networks of Linear Systems /$fby Paul A. Fuhrmann, Uwe Helmke
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (XIV, 662 p. 53 illus.)
225 1 $aUniversitext,$x0172-5939
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-319-16645-X 
320   $aIncludes bibliographical references and index.
327   $aIntroduction.-Rings and Modules of Polynomials -- Functional Models and Shift Spaces -- Linear Systems -- Tensor Products, Bezoutians and Stability.-State Feedback and Output Injection.-Observer Theory -- Nonnegative Matrices and Graph Theory -- Interconnected Systems.-Control of Standard Interconnections -- Synchronization and Consensus -- Control of Ensembles -- References -- Index.
330   $aThis book provides the mathematical foundations of networks of linear control systems, developed from an algebraic systems theory perspective. This includes a thorough treatment of questions of controllability, observability, realization theory, as well as feedback control and observer theory. The potential of networks for linear systems in controlling large-scale networks of interconnected dynamical systems could provide insight into a diversity of scientific and technological disciplines. The scope of the book is quite extensive, ranging from introductory material to advanced topics of current research, making it a suitable reference for graduate students and researchers in the field of networks of linear systems. Part I can be used as the basis for a first course in algebraic system theory, while Part II serves for a second, advanced, course on linear systems. Finally, Part III, which is largely independent of the previous parts, is ideally suited for advanced research seminars aimed at preparing graduate students for independent research. ?Mathematics of Networks of Linear Systems? contains a large number of exercises and examples throughout the text making it suitable for graduate courses in the area.
410  0$aUniversitext,$x0172-5939
606   $aMatrix theory
606   $aAlgebra
606   $aSystem theory
606   $aAutomatic control
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010
615  0$aMatrix theory.
615  0$aAlgebra.
615  0$aSystem theory.
615  0$aAutomatic control.
615 14$aLinear and Multilinear Algebras, Matrix Theory.
615 24$aSystems Theory, Control.
615 24$aControl and Systems Theory.
676   $a003
700   $aFuhrmann$b Paul Abraham$4aut$4http://id.loc.gov/vocabulary/relators/aut$0536415
702   $aHelmke$b Uwe$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299761703321
996   $aThe Mathematics of Networks of Linear Systems$92534525
997   $aUNINA