The modeling and stability problem for a communication network system

Research output: Contribution to journalArticleResearchpeer-review

Abstract

©Dynamic Publishers, Inc. In this work, the modeling and stability problem for a communication network system is addressed. The communication network system consists of a transmitter which sends messages to a receiver. The proposed model considers two possibilities. The first one, that messages are successfully received, while in the second one, during the sending process the transmitter breaks down and as a result the message does not reach the receiver. Timed Petri nets is the mathematical and graphical modeling technique utilized. Lyapunov stability theory provides the required tools needed to aboard the stability problem. Employing Lyapunov methods, a sufficient condition for stabilization is obtained. It is shown that it is possible to restrict the communication network system state space in such a way that boundedness is guaranteed. However, this restriction results to be vague. This inconvenience is overcome by considering a specific recurrence equation, in the max-plus algebra, which is assigned to the timed Petri net graphical model.
Original language American English 497-508 446 Neural, Parallel and Scientific Computations Published - 1 Jan 2014

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communication networks
messages
Communication Networks
Petri nets
Telecommunication networks
Timed Petri Nets
Transmitter
transmitters
Transmitters
Max-plus Algebra
Modeling
Graphical Modeling
Recurrence Equations
Lyapunov methods
Lyapunov Methods
Lyapunov Stability Theory
Graphical Models
Mathematical Modeling

Cite this

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title = "The modeling and stability problem for a communication network system",
abstract = "{\circledC}Dynamic Publishers, Inc. In this work, the modeling and stability problem for a communication network system is addressed. The communication network system consists of a transmitter which sends messages to a receiver. The proposed model considers two possibilities. The first one, that messages are successfully received, while in the second one, during the sending process the transmitter breaks down and as a result the message does not reach the receiver. Timed Petri nets is the mathematical and graphical modeling technique utilized. Lyapunov stability theory provides the required tools needed to aboard the stability problem. Employing Lyapunov methods, a sufficient condition for stabilization is obtained. It is shown that it is possible to restrict the communication network system state space in such a way that boundedness is guaranteed. However, this restriction results to be vague. This inconvenience is overcome by considering a specific recurrence equation, in the max-plus algebra, which is assigned to the timed Petri net graphical model.",
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In: Neural, Parallel and Scientific Computations, 01.01.2014, p. 497-508.

Research output: Contribution to journalArticleResearchpeer-review

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