Leseprobe
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Positive Linear Systems
Sergio Rinaldi, Lorenzo Farina
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Naturwissenschaften, Medizin, Informatik, Technik / Arithmetik, Algebra
Beschreibung
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.
Rezensionen
"Explores a class of linear dynamical systems called positivelinear systems whose state variables take only non-negativevalues."
"The exposition of the topics is consistent and clear. The book isaddressed to graduate students, scientists and engineers incontrol."
"This book gives an interesting overview of results regardingsingle-input single-output, time-invariant, finite-dimensionallinear poitive systems."
"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..."
"Very well-written and well-organized suitable for students whohave had a first course in differential equations."
"...the authors really succeed in conveying their enthusiasm andthe flavor of the subject..."
Kundenbewertungen
Mathematik, Linear Algebra, Lineare Algebra, Mathematics Special Topics, Mathematics, Spezialthemen Mathematik