First define what you mean by "solid state controls", and for that matter, "equipment". We can ASS-U-Me you are referring to motorized equipment and we can also ASS-U-Me you are referring to AC motors, but it would be nice to be sure.
In a nutshell though (and with the above assumptions), reversing the leads on the output of a VFD is often pointless as the VFD is capable of providing it5's output in either rotation sequence, so rather than reversing leads, you can just reprogram or command the VFD to run the motor in the proper direction and lock out the ability for it to be changed. This gets complicated however when you have a maintenance Bypass system, as the Bypass starter will indeed be affected by the rotation sequence of the leads. For that reason, the simplest way to avoid that problem is to make the VFD output turn the motor correctly, then swap the Input leads to the bypass to make it run correctly when in bypass.
If by "solid state controls" you meant a Soft Starter, it is no different than a standard starter with regards to swapping leads.