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Abstract
The paper deals with the problem of zero-sensitivity in time-invariant linear systems, For systems described in terms of signal flow graphs, necessary and sufficient conditions are given for insensitivity. Then, strong connections are shown between controllability, observability and sensitivity and the conclusion is drawn that, for suitable classes of systems, complete controllability and (or) observability imply sensitivity.
Notes
† Communicated by the Authors. This work has been supported by the Consiglio Nazionale delle Ricerche (C.N.R.), Roma, Italy, and by the Center for Advanced Studies (C.A.S.), Beograd, Yugoslavia.