MAPPING CIRCULAR BOUNDS ON FREQUENCY RESPONSES TO BOUNDS ON TIME RESPONSES

Although considerable work has been done in the area of translating ti me-domain uncertainty into frequency-domain uncertainty, little has be en done on translating frequency-domain uncertainty into time-domain u ncertainty. It has been shown here that when there are known bounds on the system frequency response, it is possible to calculate the analyt ically exact corresponding boundaries of the system time response for a periodic input. This is then extended to give less conservative resu lts for step responses than those obtained using periodic inputs.