The Bode Stability Criterion is a method used in control theory to assess the stability of a linear time-invariant system. It involves analyzing the system's open-loop frequency response, which is represented by a Bode plot. By examining the gain and phase margins at the frequency where the phase shift is -180 degrees, engineers can determine if the system will remain stable under various conditions. If the gain margin is positive and the phase margin is also positive, the system is considered stable. Conversely, if either margin is negative, the system may become unstable. This criterion is essential for designing robust control systems in various applications, including automotive, aerospace, and robotics.