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Positive Linear Systems
Lorenzo Farina
€ 263.06
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Description for Positive Linear Systems
Hardcover. This volume introduces the reader to the world of positive linear systems, an important and fascinating class of linear systems. The subject matter is divided into three parts, including definitions and basic properties of liner systems, theoretical results, and the study of some classes of positive linear systems relevant in applications. Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts. Num Pages: 318 pages, Illustrations. BIC Classification: GPFC; PBF; TJFM. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 163 x 24. Weight in Grams: 608.
A complete study on an important class of linear dynamicalsystems-positive linear systems
One of the most often-encountered systems in nearly all areas ofscience and technology, positive linear systems is a specific butremarkable and fascinating class. Renowned scientists LorenzoFarina and Sergio Rinaldi introduce readers to the world ofpositive linear systems in their rigorous but highly accessiblebook, rich in applications, examples, and figures.
This professional reference is divided into three main parts: Thefirst part contains the definitions and basic properties ofpositive linear systems. The second part, following the theoreticalexposition, reports the main conceptual results, consideringapplicable examples taken from a number of widely used models. Thethird part is devoted to the study of some classes of positivelinear systems of particular relevance in applications (such as theLeontief model, the Leslie model, the Markov chains, thecompartmental systems, and the queueing systems). Readers familiarwith linear algebra and linear systems theory will appreciate theway arguments are treated and presented.
Extraordinarily comprehensive, Positive Linear Systemsfeatures:
* Applications from a variety of backgrounds including modeling,control engineering, computer science, demography, economics,bioengineering, chemistry, and ecology
* References and annotated bibliographies throughout the book
* Two appendices concerning linear algebra and linear systemstheory for readers unfamiliar with the mathematics used
Farina and Rinaldi make no effort to hide their enthusiasm for thetopics presented, making Positive Linear Systems: Theory andApplications an indispensable resource for researchers andprofessionals in a broad range of fields.
One of the most often-encountered systems in nearly all areas ofscience and technology, positive linear systems is a specific butremarkable and fascinating class. Renowned scientists LorenzoFarina and Sergio Rinaldi introduce readers to the world ofpositive linear systems in their rigorous but highly accessiblebook, rich in applications, examples, and figures.
This professional reference is divided into three main parts: Thefirst part contains the definitions and basic properties ofpositive linear systems. The second part, following the theoreticalexposition, reports the main conceptual results, consideringapplicable examples taken from a number of widely used models. Thethird part is devoted to the study of some classes of positivelinear systems of particular relevance in applications (such as theLeontief model, the Leslie model, the Markov chains, thecompartmental systems, and the queueing systems). Readers familiarwith linear algebra and linear systems theory will appreciate theway arguments are treated and presented.
Extraordinarily comprehensive, Positive Linear Systemsfeatures:
* Applications from a variety of backgrounds including modeling,control engineering, computer science, demography, economics,bioengineering, chemistry, and ecology
* References and annotated bibliographies throughout the book
* Two appendices concerning linear algebra and linear systemstheory for readers unfamiliar with the mathematics used
Farina and Rinaldi make no effort to hide their enthusiasm for thetopics presented, making Positive Linear Systems: Theory andApplications an indispensable resource for researchers andprofessionals in a broad range of fields.
Product Details
Format
Hardback
Publication date
2000
Publisher
John Wiley & Sons Inc United States
Number of pages
318
Condition
New
Series
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Number of Pages
318
Place of Publication
, United States
ISBN
9780471384564
SKU
V9780471384564
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-50
About Lorenzo Farina
LORENZO FARINA, PhD, is Associate Professor of Modeling and Simulation, Dipartimento di Informatica e Sistemistica, Universita di Roma "La Sapienza," Italy. SERGIO RINALDI, PhD, is Full Professor of Systems Theory, Dipartimento di Elettronica e Informazione, Politecnico di Milano, Italy.
Reviews for Positive Linear Systems
"Explores a class of linear dynamical systems called positivelinear systems whose state variables take only non-negativevalues." (SciTech Book News,Vol. 24, No. 4, December 2000) "The exposition of the topics is consistent and clear. The book isaddressed to graduate students, scientists and engineers incontrol." (Mathematical Reviews, Issue 2001g) "This book gives an interesting overview of results regardingsingle-input single-output, time-invariant, finite-dimensionallinear poitive systems." (Mathematical Reviews, 2001g:93001) "There are lots of things to like about this book. In particular, Iliked the appendix on element so f linear systems theory.... Thenthere is the clear enthusiasm of the authors for thesubject...useful for self study or as a supplement in a moreadvanced course..." (SIAM Review, Vol. 43, No. 3) "Very well-written and well-organized suitable for students whohave had a first course in differential equations." (AmericanMathematical Monthly, January 2002) "...the authors really succeed in conveying their enthusiasm andthe flavor of the subject..." (Zentralblatt Math, Vol.988, No.13,2002)