Automatica, Vol.40, No.8, 1361-1370, 2004
Dynamics and stability in optical communication networks: a system theory framework
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 mu-analysis. (C) 2004 Elsevier Ltd. All rights reserved.