Stability of Control Systems refers to the ability of a control system to produce a bounded and predictable output when subjected to a bounded input or disturbance. A system is considered stable if its output remains within acceptable limits and does not grow indefinitely with time. In a linear control system, stability is commonly determined by examining the poles of the transfer function: for continuous-time systems, all closed-loop poles must lie in the left half of the s-plane for asymptotic stability. Poles on the imaginary axis may indicate marginal stability, while poles in the right half-plane indicate instability. Stability is essential because an unstable system can exhibit continuously increasing oscillations or uncontrolled output, potentially causing poor performance or equipment damage.