Finite-Time Synchronization of Networks via Quantized Intermittent Pinning Control
Chen Guang Xua, Xinsong Yangb, Jianquan Luc, Jianwen Fenga, Fuad E. Alsaadid, Tasawar Hayate
- aCollege of Mathematics and Statistics, Shenzhen University, Shenzhen, China
- bKey Laboratory of Optimization and Control, Ministry of Education, Chongqing, China
- cDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- dFaculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
- eDepartment of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan
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Abstract
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.