Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 48, Issue 9, Pages 2712-2722Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2017.2748990
Keywords
Distributed algorithm; line graph; low-gain feedback; networked system; non-negative edge consensus
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Funding
- National Natural Science Foundation of China [61374176, 61773255, 61374053, 61473129]
- Wuhan Morning Light Plan of Youth Science and Technology [2017050304010288]
- State Key Laboratory of Advanced Electromagnetic Engineering and Technology (Huazhong University of Science and Technology)
- Science Fund for Creative Research Groups of the National Natural Science Foundation of China [61521063]
- Hong Kong GRF [CityU 11208515]
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In this paper, the problem of non-negative edge consensus of undirected networked linear time-invariant systems is addressed by associating each edge of the network with a state variable, for which a distributed algorithm is constructed. Sufficient conditions referring only to the number of edges are derived for non-negative edge consensus of the networked systems. Subsequently, the linear programming method and a low-gain feedback technique are introduced to simplify the design of the feedback gain matrix for achieving the non-negative edge consensus. It is found that the low-gain feedback technique has a good effect on the non-negative edge consensus of the networked systems subject to input saturation. Numerical simulations are presented to verify the effectiveness of the theoretical results.
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