Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 48, Issue 10, Pages 3021-3027Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2017.2749248
Keywords
Finite time; intermittent pinning; quantized controller; synchronization
Categories
Funding
- National Natural Science Foundation of China [61673078, 61273220, 61472257]
- Natural Science Foundation of Jiangsu Province of China [BK20170019]
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This technical correspondence considers finite-time synchronization of dynamical networks by designing aperiodically intermittent pinning controllers with logarithmic quantization. The control scheme can greatly reduce control cost and save both communication channels and bandwidth. By using multiple Lyapunov functions and convex combination techniques, sufficient conditions formulated by a set of linear matrix inequalities are derived to guarantee that all the node systems are synchronized with an isolated trajectory in a finite settling time. Compared with existing results, the main characteristics of this paper are twofold: 1) quantized controller is used for finite-time synchronization and 2) the designed multiple Lyapunov functions are strictly decreasing. An optimal algorithm is proposed for the estimation of settling time. Numerical simulations are provided to demonstrate the effectiveness of the theoretical analysis.
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