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This paper studies a class of uncertain discrete event systems over the max-plus algebra, where system matrices are unknown but are convex combinations of known matrices. These systems model a wide range of applications, for example, transportation systems with varying vehicle travel time and queueing networks with uncertain arrival and queuing time. This paper presents computational methods for different...
This paper studies "fixed zeros" of solutions to the model matching problem for systems over a semiring. Such systems have been used to model queueing systems, communication networks, and manufacturing systems. The main contribution of this paper is the discovery of two fixed zero semimodules, which possess a connection with the extended zero semimodules of solutions to the model matching...
In this paper, we study the model matching problem for systems over semirings, which are used in many applications, such as queueing systems, communication networks, and manufacturing systems. The main contribution of this paper is the discovery of fixed pole structure of solutions to the model matching problem. This fixed pole structure provides essential information contained in the solutions to...
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