Max-plus Linear Stochastic Systems and Perturbation Analysis

This book provides a thorough review and explanation of the theory of shastic max-plus linear systems, which has seen rapid advances in the last decade. The coverage includes modeling issues and stability theory for shastic 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 shastic systems, such as the Lyapunov exponent or waiting times.