Positive Linear Systems (eBook)
318 Seiten
John Wiley & Sons (Verlag)
978-1-118-03127-8 (ISBN)
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.
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.
DEFINITIONS.
Definitions and Conditions of Positivity.
Influence Graphs.
Irreducibility, Excitability and Transparency.
PROPERTIES.
Stability.
Spectral Characterization of Irreducible Systems.
Positivity of Equilibria.
Reachability and Observability.
Realization.
Minimum Phase.
Interconnected Systems.
APPLICATIONS.
Input-Output Analysis.
Age-Structured Population Models.
Markov Chains.
Compartmental Systems.
Queueing Systems.
Conclusions.
Annotated Bibliography.
Bibliography.
Appendices.
Index.
"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)
| Erscheint lt. Verlag | 30.9.2011 |
|---|---|
| Reihe/Serie | Wiley Series in Pure and Applied Mathematics | Wiley Series in Pure and Applied Mathematics |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Algebra | |
| Naturwissenschaften | |
| Technik ► Elektrotechnik / Energietechnik | |
| Schlagworte | linear algebra • Lineare Algebra • Mathematics • Mathematics Special Topics • Mathematik • Spezialthemen Mathematik |
| ISBN-10 | 1-118-03127-X / 111803127X |
| ISBN-13 | 978-1-118-03127-8 / 9781118031278 |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
PDF (Adobe DRM)Kopierschutz: Adobe-DRM
Adobe-DRM ist ein Kopierschutz, der das eBook vor Mißbrauch schützen soll. Dabei wird das eBook bereits beim Download auf Ihre persönliche Adobe-ID autorisiert. Lesen können Sie das eBook dann nur auf den Geräten, welche ebenfalls auf Ihre Adobe-ID registriert sind.
Details zum Adobe-DRM
Dateiformat: PDF (Portable Document Format)
Mit einem festen Seitenlayout eignet sich die PDF besonders für Fachbücher mit Spalten, Tabellen und Abbildungen. Eine PDF kann auf fast allen Geräten angezeigt werden, ist aber für kleine Displays (Smartphone, eReader) nur eingeschränkt geeignet.
Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen eine
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen eine
Geräteliste und zusätzliche Hinweise
Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.
aus dem Bereich
