How do I get an object’s unqualified (short) class name?

You can do this with reflection. Specifically, you can use the ReflectionClass::getShortName method, which gets the name of the class without its namespace.

First, you need to build a ReflectionClass instance, and then call the getShortName method of that instance:

$reflect = new ReflectionClass($object);
if ($reflect->getShortName() === 'Name') {
    // do this
}

However, I can’t imagine many circumstances where this would be desirable. If you want to require that the object is a member of a certain class, the way to test it is with instanceof. If you want a more flexible way to signal certain constraints, the way to do that is to write an interface and require that the code implement that interface. Again, the correct way to do this is with instanceof. (You can do it with ReflectionClass, but it would have much worse performance.)