Finite-time lag synchronization of coupled reaction–diffusion systems with time-varying delay via periodically intermittent control

ABSTRACT

In this paper, the issue of finite-time lag synchronization of coupled reaction–diffusion systems with time-varying delay (CRDSTD) is considered. A periodically intermittent controller is designed such that drive system and corresponding response system can achieve finite-time lag synchronization. By using graph theory and Lyapunov method, two sufficient criteria are presented to guarantee the finite-time lag synchronization of CRDSTD. Moreover, the time of achieving lag synchronization of CRDSTD is estimated. Finally, a numerical example is given to show the effectiveness of the proposed results.

KEYWORDS:

• Finite-time lag synchronization
• time-varying delay
• coupled reaction–diffusion systems
• periodically intermittent control

AMS SUBJECT CLASSIFICATIONS:

• 45R05
• 60H20
• 93D15

Acknowledgements

The authors really appreciate the valuable comments of the editors and reviewers.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the Natural Science Foundation of Shandong Province of China [grant number ZR2017MA008]; the Key Project of Science and Technology of Weihai [grant number 2014DXGJMS08]; the Innovation Technology Funding Project in Harbin Institute of Technology [grant number HIT.NSRIF.201703].