LEADER 04549nam 2200649 450 001 996205521703316 005 20230422031711.0 010 $a1-118-03302-7 010 $a1-118-03127-X 035 $a(CKB)2670000000128106 035 $a(EBL)695090 035 $a(SSID)ssj0000622307 035 $a(PQKBManifestationID)11388578 035 $a(PQKBTitleCode)TC0000622307 035 $a(PQKBWorkID)10638865 035 $a(PQKB)10175690 035 $a(MiAaPQ)EBC695090 035 $a(OCoLC)761321861 035 $a(EXLCZ)992670000000128106 100 $a20160816h20002000 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPositive linear systems $etheory and applications /$fLorenzo Farina, Sergio Rinaldi 210 1$aNew York, New York :$cJohn Wiley & Sons, Inc.,$d2000. 210 4$dİ2000 215 $a1 online resource (322 p.) 225 0 $aPure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts 300 $a"A Wiley-Interscience Publication." 311 $a0-471-38456-9 320 $aIncludes bibliographical references and index. 327 $aPositive Linear Systems: Theory and Applications; Contents; Preface; PART I DEFINITIONS; 1 Introduction; 2 Definitions and Conditions of Positivity; 3 Influence Graphs; 4 Irreducibility, Excitability, and Transparency; PART II PROPERTIES; 5 Stability; 6 Spectral Characterization of Irreducible Systems; 7 Positivity of Equilibria; 8 Reachability and Observability; 9 Realization; 10 Minimum Phase; 11 Interconnected Systems; PART III APPLICATIONS; 12 Input-Output Analysis; 13 Age-Structured Population Models; 14 Markov Chains; 15 Compartmental Systems; 16 Queueing Systems; Conclusions 327 $aAnnotated BibliographyBibliography; Appendix A: Elements of Linear Algebra and Matrix Theory; A.l Real Vectors and Matrices; A.2 Vector Spaces; A.3 Dimension of a Vector Space; A.4 Change of Basis; A.5 Linear Transformations and Matrices; A.6 Image and Null Space; A.7 Invariant Subspaces, Eigenvectors, and Eigenvalues; A.8 Jordan Canonical Form; A.9 Annihilating Polynomial and Minimal Polynomial; A.10 Normed Spaces; A.11 Scalar Product and Orthogonality; A.12 Adjoint Transformations; Appendix B: Elements of Linear Systems Theory; B.1 Definition of Linear Systems 327 $aB.2 ARMA Model and Transfer FunctionB.3 Computation of Transfer Functions and Realization; B.4 Interconnected Subsystems and Mason's Formula; B.5 Change of Coordinates and Equivalent Systems; B.6 Motion, Trajectory, and Equilibrium; B.7 Lagrange's Formula and Transition Matrix; B.8 Reversibility; B.9 Sampled-Data Systems; B.10 Internal Stability: Definitions; B.11 Eigenvalues and Stability; B.12 Tests of Asymptotic Stability; B.13 Energy and Stability; B.14 Dominant Eigenvalue and Eigenvector; B.15 Reachability and Control Law; B.16 Observability and State Reconstruction 327 $aB.17 Decomposition TheoremB.18 Determination of the ARMA Models; B.19 Poles and Zeros of the Transfer Function; B.20 Poles and Zeros of Interconnected Systems; B.21 Impulse Response; B.22 Frequency Response; B.23 Fourier Transform; B.24 Laplace Transform; B.25 Z-Transform; B.26 Laplace and Z-Transforms and Transfer Functions; Index 330 $aA complete study on an important class of linear dynamical systems-positive linear systemsOne of the most often-encountered systems in nearly all areas of science and technology, positive linear systems is a specific but remarkable and fascinating class. Renowned scientists Lorenzo Farina and Sergio Rinaldi introduce readers to the world of positive linear systems in their rigorous but highly accessible book, rich in applications, examples, and figures.This professional reference is divided into three main parts: The first part contains the definitions and basic properties of p 410 0$aPure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts 606 $aPositive systems 606 $aNon-negative matrices 606 $aLinear systems 615 0$aPositive systems. 615 0$aNon-negative matrices. 615 0$aLinear systems. 676 $a003.74 676 $a512.9 676 $a512.9434 700 $aFarina$b Lorenzo$f1963-$09304 702 $aRinaldi$b S$g(Sergio),$f1940- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996205521703316 996 $aPositive linear systems$92230601 997 $aUNISA