Abstract
In this paper, prescribed-time synchronization (PTS) of multi-layer nested high order networks (MHONs) under aperiodic intermittent control (AIC) is explored. A novel MHON and its topology are proposed for the first time. By introducing AIC with the average control rate, each order of MHONs can reach single-order synchronization and the whole MHONs can achieve complete synchronization within any prescribed time, regardless of initial conditions and control parameters. The average control rate reduces the conservativeness for MHONs to achieve PTS, providing a framework strategy for exploring dynamics of MHONs under intermittent control. An auxiliary function meeting specific requirements is designed to build Lyapunov function. Then a sufficient criterion for MHONs with AIC to reach complete PTS is obtained via Lyapunov method. Ultimately, an application to Chua's circuits is conducted, and its numerical simulations verify the effectiveness of the main theory.
| Original language | English |
|---|---|
| Article number | 108994 |
| Journal | Communications in Nonlinear Science and Numerical Simulation |
| Volume | 151 |
| DOIs | |
| State | Published - Dec 2025 |
| Externally published | Yes |
Keywords
- Aperiodic intermittent control
- Lyapunov method
- Multi-layer nested high order networks
- Prescribed-time synchronization
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