What do you mean by active and passive stabilisation?
The A-mount is used on older Minolta Maxxum/Dynax/Alpha SLR/DSLR cameras, and on newer Sony Alpha DSLR/DSLT cameras. Stabilisation, if available, for this system has always been implemented as in-body stabilisation – where the sensor moves. It was introduced with the Maxxum 7D DSLR in 2004, and was marketed as ‘Anti-Shake’. Sony calls it ‘SteadyShot Inside’. There are no A-mount lenses with any in-lens stabilisation technology.
Sony also has the E-mount, with some E-mount lenses having in-lens stabilisation, but that’s a different kettle of fish. E-mount lenses are not compatible with the A-mount, even with an adapter, so you can disregard them for your scenario entirely.