Identifying clients using Certificate

Hi,

I have an ASP.Net 4.5 WebApi project hosting Signalr Hub, On client side using Signalr Proxy to connect to the server.

Client of the application can be an in-house PC or external PC.

I want to implement security for the application such that if request is made from in-house PC then allow certain features of the application and restrict features for external PCs.

Question: If I install the certificate on the in-house PCs then can I use that certificate to validate incoming requests over Signalr channel?

Thanks.