Hi Ranjan,
I think by Linear Analysis you are referring to the following:
https://www.mathworks.com/help/slcontrol/ug/linearize-simulink-model.html , this is part of Simulink Control Design.
Is the Simulink Control Design license separate??? from MATLAB control system toolbox license???
Yes, they are two different Toolboxes but for Simulink Control Design, you require Control System Toolbox, check the Product requirements page of Simulink Control Design, for more info.