Title :
The maximum response ratio of linear systems
Author_Institution :
Rice Institute, Houston, Tex.
Abstract :
WHAT is the maximum amplitude that can be obtained in a linear time-invariant transmission or control system subjected to inputs with limited amplitude? This question is important in many physical problems. Suppose b is the bound on the magnitude of the input amplitude and h0 is the smallest number such that the response h(t) satisfies |h(t)| ≤ h0. Then the maximum response ratio r is defined by r = h0/b. With this terminology, the question becomes: What is the value of r?
Keywords :
Accuracy; Associate members; Control systems; Linear systems; Oscillators; Terminology; Upper bound;
Journal_Title :
Electrical Engineering
DOI :
10.1109/EE.1954.6439137
