The Routh-Hurwitz criterion is used to determine the stability of control systems by analyzing the Routh array. It does not provide the exact locations of poles but indicates whether all poles are in the left half of the s-plane or if at least one pole is in the right half or on the imaginary axis. The criterion confirms the presence of poles in the left or right half-plane, which is crucial for system stability. Understanding this distinction is essential for effective pole placement in control system design. The Routh array serves as a tool for assessing stability rather than pinpointing pole locations.
