Hi Soma,
Both the databases are supported with LVM 2.0 (SAP HANA as well as Oracle).
Check the collective SAP Note for LVM 2.0 (section 3.1.5).
https://service.sap.com/sap/support/notes/1783702
So you should be able to start/stop any system running on HANA or Oracle.
As far as integrating/adding & managing your systems in LVM is concerned, please refer to the official documentation for LVM 2.0.
SAP NetWeaver Landscape Virtualization Management 2.0, Enterprise Edition – SAP Help Portal Page
Hope this helps!
Best Regards,
Adarsh