Max-plus linear stochastic systems and perturbation analysis

著者

    • Heidergott, Bernd

書誌事項

Max-plus linear stochastic systems and perturbation analysis

by Bernd Heidergott

(The Kluwer international series on discrete event dynamic systems, 15)

Springer, c2006

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注記

Includes bibliographical references (p. [301]-308) and index

"DEDS 15" --Back cover

内容説明・目次

内容説明

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.

目次

Max-Plus Algebra.- Max-Plus Linear Stochastic Systems.- Ergodic Theory.- Perturbation Analysis.- A Max-Plus Differential Calculus.- Higher-Order D-Derivatives.- Taylor Series Expansions.

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