Delete sys connection

In order to answer this question, a bit more information is needed. What are these connections are why do they need to be deleted - especially at such a high volume (50-100 per second)? Are they idle for long periods? Are they suspicious traffic? Something else entirely?

There are many settings you can use at both the global and virtual server context to control how the BIG-IP system automatically reaps connections from the connection table. But without understanding why you want to delete all these connections, it may be difficult to provide a meaningful alternative.