Add type parameter constraint to prevent abstract classes

Question

Is it possible to restrict a type parameter to concrete implementations of an abstract class, if those implementations don\'t have default constructors?

For example, if

Answer 1

public class ZooPen where T : Animal
{
    public ZooPen()
    {
        if (typeof(T).IsAbstract)
            throw new ArgumentException(typeof(T).Name + " must be non abstract class");
    }
}