Relative stability analysis of linear systems using the Gain and Phase margins and Gain-crossover frequency and phase-crossover frequency on Bode, Nyquist and Nichols plots is discussed here along with relevant MATLAB commands.
Relative stability definition using phase and gain margins: 1:05
Definitions of phase and gain margins and their crossover frequencies: 4:55
Phase and gain margin in Nyquist plots: 5:34
Phase and gain margin in Nichols plots: 17:45
Phase and gain margin in Nichols plots: 22:30
Example calculations done using MATLAB and on the paper: 27:30
Relation between phase margin and transient response characteristics (damping ratio): 48:36