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Positive Linear Systems

2011-09-30 Mathematics
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Release : 2011-09-30
Genre : Mathematics
Kind : eBook
Book Rating : 27X/5 ( reviews)

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Book Synopsis Positive Linear Systems by : Lorenzo Farina

Download or read book Positive Linear Systems written by Lorenzo Farina. This book was released on 2011-09-30. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Positive Systems

2019-01-12 Technology & Engineering
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Release : 2019-01-12
Genre : Technology & Engineering
Kind : eBook
Book Rating : 274/5 ( reviews)

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Book Synopsis Positive Systems by : James Lam

Download or read book Positive Systems written by James Lam. This book was released on 2019-01-12. Available in PDF, EPUB and Kindle. Book excerpt: This book presents high-quality original contributions on positive systems, including those with positivity in compartmental switched systems, Markovian jump systems, Boolean networks, interval observer design, fault detection, and delay systems. It comprises a selection of the best papers from POSTA 2018, the 6th International Conference on Positive Systems, which was held in Hangzhou, China, in August 2018. The POSTA conference series represents a targeted response to the growing need for research that reports on and critically discusses a wide range of topics concerning the theory and applications of positive systems. The book offers valuable insights for researchers in applied mathematics, control theory and their applications.

Positive Linear Systems

1989 Iterative methods (Mathematics).
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Release : 1989
Genre : Iterative methods (Mathematics).
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Positive Linear Systems by : Mark Aleksandrovich Krasnoselʹskiĭ

Download or read book Positive Linear Systems written by Mark Aleksandrovich Krasnoselʹskiĭ. This book was released on 1989. Available in PDF, EPUB and Kindle. Book excerpt:

Positive 1D and 2D Systems

2002 Computers
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Release : 2002
Genre : Computers
Kind : eBook
Book Rating : 083/5 ( reviews)

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Book Synopsis Positive 1D and 2D Systems by : Tadeusz Kaczorek

Download or read book Positive 1D and 2D Systems written by Tadeusz Kaczorek. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: This text is devoted to the positive multivariable 1D and 2D linear, time-invariant, finite-dimensional system. The book is based on the author's lectures for Ph.D. students, delivered at Warsaw University of Technology in the academic year 1999/2000. The book consists of two parts; the first part is devoted to the 1D positive linear systems and the second to the 2D positive linear systems described by the Rosser model and the Fornasini-Marchesini models. Definitions, basic properties and theorems concerning positive matrices and graphs are presented; the externally and internally positive linear continuous-time and discrete-time linear systems are considered; and the reachability, controlability and observability of positive linear systems are discussed. The realisation problem for positive 1D and 2D systems is also considered, and the 2D models of externally and internally positive and their properties and controllability and minimum energy control of positive 2D systems are investigated.

Switched Positive Linear Systems

2015-10-19 Computers
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Release : 2015-10-19
Genre : Computers
Kind : eBook
Book Rating : 705/5 ( reviews)

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Book Synopsis Switched Positive Linear Systems by : Franco Blanchini

Download or read book Switched Positive Linear Systems written by Franco Blanchini. This book was released on 2015-10-19. Available in PDF, EPUB and Kindle. Book excerpt: Positive systems are an important class of systems that frequently arise in application areas, such as in the chemical process industry, electronic circuit design, communication networks, and biology. The study of the stability of such systems differs from standard systems in that the analysis focuses only on the trajectories generated under positivity constraints. Switched positive systems also arise in a variety of applications. Examples can be found in TCP congestion control, in processes described by non-homogeneous Markov chains, in image processing, in biochemical networks, and so on. In comparison to general switched systems, that have received a lot of attention in the past years, the theory for positive switched systems is still in its infancy. Switched Positive Linear Systems studies the stability, performance evaluation, stabilization via switching control, and optimal control of (continuous-time and linear) positive switched systems. It provides a review of the results that have already been established in the literature. Other results, especially those related to norm computation and optimization, are new and are presented integrated with previous ones. Switched Positive Linear Systems provides a comprehensive and timely introduction to the study of such systems. Readers who are new to the topic will find everything required to understand such systems in a concise and accessible form.

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