An Eigenvalue Perturbation Approach to Stability Analysis, Part I: Eigenvalue Series of Matrix Operators

2010 ◽  
Vol 48 (8) ◽  
pp. 5564-5582 ◽  
Author(s):  
Jie Chen ◽  
Peilin Fu ◽  
Silviu-Iulian Niculescu ◽  
Zhihong Guan
Keyword(s):  
Stability Analysis ◽  
Perturbation Approach ◽  
Matrix Operators

Stability Analysis of Internal Model Based Gain Control System for Three-Level EDFA Model

2013 ◽  
Vol 339 ◽  
pp. 33-37
Author(s):  
Seong Ho Song ◽  
Chang Seop Kim ◽  
Jeom Keun Kim
Keyword(s):  
Control System ◽  
Stability Analysis ◽  
Singular Perturbation ◽  
Internal Model ◽  
Gain Control ◽  
Fiber Amplifier ◽  
Perturbation Approach ◽  
Optical Fiber Amplifier ◽  
Amplifier Gain ◽  
The Mathematical Model

In this paper, stability analysis of an optical fiber amplifier gain controller is presented. The mathematical model of an EDFA (Eribium-Doped Fiber Amplifier) control system is described by two-time scaled system and thus singular perturbation approach can be applied to the design and analysis of the control system. In order to handle the channel variations such as add/drop, we adopt an internal model. The performance of the control system is theoretically analyzed based on a novel singular-perturbation-like approach.

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