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Disturbance decoupling and invariant subspaces for delay systems. (English) Zbl 0587.93039

We consider the disturbance decoupling problem for distributed parameter systems, with special attention to the case of delay systems. We present several examples which illustrate the difficulties of the infinite dimensional theory for the case of general distributed parameter systems and for the case of delay systems. In this last case we single out a class of subspaces whose invariant properties are easily characterized and which seems to be interesting from the point of view of the applications.

MSC:

93C25 Control/observation systems in abstract spaces
47A15 Invariant subspaces of linear operators
93C05 Linear systems in control theory
46C99 Inner product spaces and their generalizations, Hilbert spaces
34K35 Control problems for functional-differential equations
47D03 Groups and semigroups of linear operators
93C99 Model systems in control theory
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References:

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