Dynamics and stability in optical communication networks: a system theory framework

Authors:
Lacra Pavel
Affiliations:
Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada M5S 3G4
Venue:
Automatica (Journal of IFAC)
Year:
2004

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Abstract

This paper addresses the problem of dynamics analysis in optical networks from a system control perspective. A general framework for finding the transfer matrix representation of an optical network is developed, based on linear fractional transformations. Under the natural assumption of equal time-delay for all channels in a link, the network transfer matrix is simplified such that channel cross-coupling is evidenced. The optical network stability problem is then reformulated as a robust stability problem and stability conditions are developed by applying @m-analysis.