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Topology-free design for amplitude death in time-delayed oscillators coupled by a delayed connection
Luan Ba Le1, Keiji Konishi, Naoyuki Hara
1Department of Electrical and Information Systems, Osaka Prefecture University, Sakai, Osaka 599-8531, Japan.
Abstract:
This paper deals with amplitude death in time-delayed oscillators coupled by a delayed connection with topology uncertainty. A systematic procedure without trial-and-error testing for designing connection parameters is proposed from a robust control theory viewpoint. This procedure has the following two advantages: the designed connection parameters are valid for any network topology and the procedure is valid even for long-delay oscillators. These analytical results are verified by some numerical simulations.
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