Positive Linear Systems Theory and Applications
Positive Linear Systems Theory and Applications by Lorenzo Farina, published by John Wiley & Sons on July 3, 2000, is a comprehensive exploration of positive linear systems, a significant class of linear dynamical systems encountered across various scientific and technological fields. This edition spans 318 pages and is presented in English, offering a rigorous yet accessible approach to the subject matter, enriched with applications, examples, and figures.
The book is structured into three main parts, beginning with definitions and basic properties of positive linear systems. It then delves into theoretical concepts, supported by applicable examples from widely used models. The final section focuses on specific classes of positive linear systems relevant to applications, including the Leontief model and Markov chains. Readers with a background in linear algebra and linear systems theory will find the discussions well-articulated, while additional appendices provide foundational knowledge for those less familiar with the mathematics involved. This resource serves as a valuable reference for researchers and professionals in mathematics, engineering, and related disciplines.
Official synopsis Publisher
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.
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