Which one of the following statements is true for gain margin and phase margin of two closed loop systems having loop transfer functions \(\mathrm{G}(s) \mathrm{H}(\mathrm{s})\) and \(\exp (-s) \mathrm{G}(s) \mathrm{H}(\mathrm{s})\) ?

(a) Both gain and phase margins of the two systems will be identical.

(b) Both gain and phase margins of \(\mathrm{G}(s) \mathrm{H}(s)\) will be more.

(c) Gain margins of the two systems are the same but phase margin of \(\mathrm{G}(\mathrm{s}) \mathrm{H}(\mathrm{s})\) will be more.

(d) Phase margins of the two systems are the same but gain margin of \(\mathrm{G}(\mathrm{s}) \mathrm{H}(\mathrm{s})\) will be less.