Abstract
Integral-based event-triggered synchronization criteria are firstly presented for networked chaotic systems with proportional-derivative (PD) control. The event-triggered scheme effectively utilizes network resources; however, the PD-type control subject to the conventional triggering inequality may cause excessive triggering and have difficulty in obtaining a feasible solution. To solve these problems, the integrated event-triggering inequality is employed and the modified integral inequality with free-weighting matrix is proposed to fill the empty diagonal terms, which overcomes the difficulties of the integration of delayed signal vectors upon integral event-triggering condition. Based on Lyapunov stability, the synchronization criteria are derived as linear matrix inequalities. Finally, the effectiveness of the integral-based event-triggered synchronization method is demonstrated by numerical examples.
| Original language | English |
|---|---|
| Pages (from-to) | 991-1002 |
| Number of pages | 12 |
| Journal | Nonlinear Dynamics |
| Volume | 94 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Oct 2018 |
Keywords
- Integrated event-triggering inequality
- Proportional-derivative event-triggered control
- Synchronization of chaotic system