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Max-linear Systems: Theory and Algorithms

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Release : 2010-08-05
Genre : Mathematics
Kind : eBook
Book Rating : 995/5 ( reviews)

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Book Synopsis Max-linear Systems: Theory and Algorithms by : Peter Butkovič

Download or read book Max-linear Systems: Theory and Algorithms written by Peter Butkovič. This book was released on 2010-08-05. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have seen a significant rise of interest in max-linear theory and techniques. Specialised international conferences and seminars or special sessions devoted to max-algebra have been organised. This book aims to provide a first detailed and self-contained account of linear-algebraic aspects of max-algebra for general (that is both irreducible and reducible) matrices. Among the main features of the book is the presentation of the fundamental max-algebraic theory (Chapters 1-4), often scattered in research articles, reports and theses, in one place in a comprehensive and unified form. This presentation is made with all proofs and in full generality (that is for both irreducible and reducible matrices). Another feature is the presence of advanced material (Chapters 5-10), most of which has not appeared in a book before and in many cases has not been published at all. Intended for a wide-ranging readership, this book will be useful for anyone with basic mathematical knowledge (including undergraduate students) who wish to learn fundamental max-algebraic ideas and techniques. It will also be useful for researchers working in tropical geometry or idempotent analysis.

Max-Linear Systems

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Release : 2010-09-13
Genre :
Kind : eBook
Book Rating : 008/5 ( reviews)

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Book Synopsis Max-Linear Systems by : Peter Butkovi

Download or read book Max-Linear Systems written by Peter Butkovi. This book was released on 2010-09-13. Available in PDF, EPUB and Kindle. Book excerpt:

Integrality in Max-linear Systems

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Release : 2015
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Integrality in Max-linear Systems by : Marie MacCaig

Download or read book Integrality in Max-linear Systems written by Marie MacCaig. This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt:

Control and State Estimation for Max-Plus Linear Systems

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Release : 2018-12-24
Genre :
Kind : eBook
Book Rating : 441/5 ( reviews)

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Book Synopsis Control and State Estimation for Max-Plus Linear Systems by : Laurent Hardouin

Download or read book Control and State Estimation for Max-Plus Linear Systems written by Laurent Hardouin. This book was released on 2018-12-24. Available in PDF, EPUB and Kindle. Book excerpt: Max-plus linear systems theory was inspired by and originated from classical linear systems theory more than three decades ago, with the purpose of dealing with nonlinear synchronization and delay phenomena in timed discrete event systems in a linear manner. Timed discrete event systems describe many problems in diverse areas such as manufacturing, communication, or transportation networks. This monograph provides a thorough survey of current research work in max-plus linear systems. It summarizes the main mathematical concepts required for a theory of max-plus linear systems, including idempotent semirings, residuation theory, fixed point equations in the max-plus algebra, formal power series, and timed-event graphs. The authors also review some recent major achievements in control and state estimation of max-plus linear systems. These include max-plus observer design, max-plus model matching by output or state feedback and observer-based control synthesis. Control and State Estimation for Max-Plus Linear Systems offers students, practitioners, and researchers an accessible and comprehensive overview of the most important recent work in max-plus Linear Systems.

Max-Plus Linear Stochastic Systems and Perturbation Analysis

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Release : 2006-12-26
Genre : Computers
Kind : eBook
Book Rating : 954/5 ( reviews)

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Book Synopsis Max-Plus Linear Stochastic Systems and Perturbation Analysis by : Bernd F. Heidergott

Download or read book Max-Plus Linear Stochastic Systems and Perturbation Analysis written by Bernd F. Heidergott. This book was released on 2006-12-26. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough review and explanation of the theory of stochastic max-plus linear systems, which has seen rapid advances in the last decade. The coverage includes modeling issues and stability theory for stochastic max-plus systems, perturbation analysis of max-plus systems, developing a calculus for differentiation of max-plus systems. This leads to numerical evaluations of performance indices of max-plus linear stochastic systems, such as the Lyapunov exponent or waiting times.

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