The present paper proposes a control-theoretic approach to design rate-based controllers in order to flow-regulate the best-effort service and guaranteed service traffic through asynchronous transfer mode (ATM) switching networks. Classical control theory and Schur-Cohn stability criterion are exploited to design the traffic controllers for ATM switching networks. The stability and transient response of closed-loop congestion controlled systems are analyzed by utilizing Schur-Cohn stability criterion, which leads to certain necessary and sufficient stability condition under which the controlle...