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Invariance concepts in infinite dimensions. (English) Zbl 0602.93037

The concepts of (A,B)- and (C,A)-invariance are used to solve various disturbance decoupling problems for infinite-dimensional linear systems. Some sufficient conditions for trajectory invariance of the supremal (A,B)- or infimal (C,A)-invariant subspaces are given and they are applied to retarded systems and also to the so-called spectral systems introduced by the author.
Reviewer: M.Megan

MSC:

93C25 Control/observation systems in abstract spaces
37C80 Symmetries, equivariant dynamical systems (MSC2010)
93C05 Linear systems in control theory
47A15 Invariant subspaces of linear operators
93B05 Controllability
93B07 Observability
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