Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 54, Issue 4, Pages 892-897Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2008.2010972
Keywords
Adaptive filtering; disturbance attenuation; genetic regulatory network (GRN); stochastic stability; system synchronization; time delay
Funding
- NSFC-HKRGC Joint Research Scheme [N-CityU107/07]
- CERG [CityU 1117/08E]
- National Natural Science Foundation of China [60821091, 60772158]
- National Basic Research (973) Program of China [2007CB310805]
- Chinese Academy of Sciences [KJCX3-SYW-S01]
- Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry
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Uncertain delayed genetic regulatory networks are investigated from an adaptive filtering approach based on an adaptive synchronization setting. For an unknown regulatory network with time delay and uncertain noise disturbance, several adaptive laws are derived to ensure the stochastic stability of the error states between the unknown network and the estimated model. The novelty lies in the fact that the designed adaptive laws are independent of the unknown system states and parameters, requiring only the output and structure of the underlying network. A representative simulation example is given to verify the effectiveness of the theoretical results.
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