Sensitivity Invariants for Linear Time-Invariant Networks

For a general linear time-invariant network it is shown that the sum of the sensitivities, of any order, of a network function over different parameter sets is invariant. An expression is derived for calculating the sum of (K+1)th-order sensitivities knowing the same for kth-order sensitivities. It is also shown that lower bounds for the quadratic sensitivity index may be obtained by using the first-order sensitivity invariants. © 1973, IEEE. All rights reserved.