<p>This paper considers the problem of finite-time sliding mode control for networked T-S fuzzy switched systems under a novel dynamic memory event-triggered mechanism (DMETM). The asynchronous control method is adopted where the asynchronous phenomenon is between the system mode and controller mode. The novel DMETM is introduced to alleviate the burden of data transmission in the communication channel, which not only transmited the current packets but also the past utilized packets, it can be adjusted according to the error of the system state. The asynchronous event-triggered finite-time sliding mode control of the closed-loop system are proved. Finally, a numerical example and a single-link rigid robot system model are presented to demonstrate the effectiveness of the proposed approach.</p>