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Finite-time lag synchronization of coupled reaction-diffusion systems with time-varying delay via periodically intermittent control. (English) Zbl 1418.45009

Summary: 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.

MSC:

45R05 Random integral equations
93D15 Stabilization of systems by feedback
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