Stability Examples: Routh-Hurwitz Criterion

This lecture presents examples of closed-loop systems to illustrate how the proportional gain affects stability. It introduces the Routh-Hurwitz criterion as an analytical technique to determine stability without explicitly calculating roots. Through various examples, the instructor demonstrates the application of the criterion and necessary conditions for stability, showcasing how different values of the gain impact the system's stability. The lecture concludes with a discussion on approximating exponential terms and determining system stability based on specific conditions.