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# Linear discrete-time systems

Author: Zoran M Buchevats; Lyubomir T Gruyitch Boca Raton, Fla. : CRC Press, [2018] ǳ2018 eBook : Document : EnglishView all editions and formats (not yet rated) 0 with reviews - Be the first.

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Material Type: Document, Internet resource Internet Resource, Computer File Zoran M Buchevats; Lyubomir T Gruyitch Find more information about: Zoran M Buchevats Lyubomir T Gruyitch 1351707590 9781351707596 1032689934 1 online resource (xxii, 454 pages :) illustrations. Part I Basic Topics1 Introduction1.1 Discrete time, physical variables, and systems1.2 Discrete time and system dynamics1.3 Discrete-time systems and complex domain1.4 Notational preliminaries2 Classes of discrete-time linear systems2.1 IO systems2.2 ISO systems2.3 IIO systems2.4 System forms 3 System regimes 3.1 System regime meaning3.2 System regimes and initial conditions3.3 Forced and free regimes3.4 Desired regime3.5 Deviations and mathematical models3.6 Stationary and nonstationary regimes3.7 Equilibrium regime 4 Transfer function matrix G(z)Part II Full Transfer Function Matrix F(z) And System Realization5 Problem statement6 Nondegenerate matrices7 Definition of F(z)7.1 Definition of F(z) in general7.2 Definition of F(z) of the IO system7.3 Definition of F(z) of the ISO system7.4 Definition of F(z) of the IIO system8 Determination of F(z)8.1 F(z) of the IO system8.2 F(z) of the ISO system8.3 F(z) of the IIO system8.4 Conclusion: Common general form of F(z)9 Full block diagram algebra9.1 Introduction9.2 Parallel connection9.3 Connection in series9.4 Feedback connection10 Physical meaning of F(z)10.1 The IO system10.2 The ISO system10.3 The IIO system11 System matrix and equivalence11.1 System matrix of the IO system11.2 System matrix of the ISO System11.3 System matrix of the IIO system12 Realizations of F(z)12.1 Dynamical and least dimension of a system12.2 On realization and minimal realization12.3 Realizations of F(z) of IO systems12.4 Realizations of F(z) of ISO systems12.5 Realizations of F(z) of IIO systemsPart III Stability Study13 Lyapunov stability13.1 Lyapunov stability concept13.2 Definitions13.3 Lyapunov method and theorems13.4 Conditions via F(z)14 Bounded Input stability14.1 BI stability and initial conditions14.2 Definitions14.3 Conditions15 Motivation for the book16 Summary of the contributions17 Future teaching and researchV BibliographyVI AppendicesA NotationA.1 AbbreviationsA.2 IndexesA.3 LettersA.4 NamesA.5 Symbols and vectorsA.6 UnitsB Z-transforms and unit impulsesB.1 Z-transformsB.2 Unit impulsesPart VII IndexAuthor IndexSubject Index Zoran M. Buchevats, Lyubomir T. Gruyitch.

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