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Decoupling by state feedback in infinite-dimensional systems. (English) Zbl 0713.93014

The problem of block input-output decoupling by state feedback for infinite-dimensional systems is studied. The conditions are given in geometric notions. This paper is an extension of the finite-dimensional result as given by W. Wonham and A. Morse [SIAM J. Control 8, 1-18 (1970; Zbl 0206.164)], and of the infinite-dimensional results obtained by R. F. Curtain [Syst. Control Lett. 5, 249-254 (1985; Zbl 0565.93038)].
Under the condition that the number of output blocks is the same as the dimension of the range of the input operator sufficient and necessary conditions for the solvability are given. If this condition is not satisfied, then one has to assume that some subspaces contain a largest controlled invariant subspace, which is not automatically satisfied for infinite-dimensional systems.
Reviewer: H.Zwart

MSC:

93B27 Geometric methods
93C25 Control/observation systems in abstract spaces
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