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Positive Linear Systems Theory and Applications by Lorenzo Farina, Sergio Rinaldi


Positive Linear Systems Theory and Applications by Lorenzo Farina, Sergio Rinaldi

A complete study on an important class of linear dynamical systems-positive linear systems One 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 positive linear systems. The second part, following the theoretical exposition, reports the main conceptual results, considering applicable examples taken from a number of widely used models. The third part is devoted to the study of some classes of positive linear systems of particular relevance in applications (such as the Leontief model, the Leslie model, the Markov chains, the compartmental systems, and the queueing systems). Readers familiar with linear algebra and linear systems theory will appreciate the way arguments are treated and presented. Extraordinarily comprehensive, Positive Linear Systems features: ? 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 systems theory for readers unfamiliar with the mathematics used Farina and Rinaldi make no effort to hide their enthusiasm for the topics presented, making Positive Linear Systems: Theory and Applications an indispensable resource for researchers and professionals in a broad range of fields.


Explores a class of linear dynamical systems called positive linear systems whose state variables take only non-negative values. ( SciTech Book News,Vol. 24, No. 4, December 2000)

...exposition of the topics is consistent and clear. The book is addressed to graduate students, scientists and engineers in control. (Mathematical Reviews, Issue 2001g)

This book gives an interesting overview of results regarding single-input single-output, time-invariant, finite-dimensional linear poitive systems. (Mathematical Reviews, 2001g:93001)

There are lots of things to like about this book. In particular, I liked the appendix on element so f linear systems theory... (SIAM Review, Vol. 43, No. 3)

Very well-written and well-organized?suitable for students who have had a first course in differential equations. (American Mathematical Monthly, January 2002)

...the authors really succeed in conveying their enthusiasm and the flavor of the subject... (Zentralblatt Math, Vol.988, No.13, 2002)

About the Author

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.

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Book Info

Publication date

10th July 2000


Lorenzo Farina, Sergio Rinaldi

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John Wiley & Sons Inc


318 pages


Automatic control engineering
Cybernetics & systems theory



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