Equivalence Between Open-Loop and Closed-Loop Invariance for Infinite-Dimensional Systems: A Frequency Domain Approach

DOI10.1137/0326065zbMath0656.93039OpenAlexW1967432255MaRDI QIDQ3804551

Hans J. Zwart

Publication date: 1988

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0326065

zbMATH Keywords

equivalencedisturbance decouplingfrequency invariancemeromorphic matrix equationopen-loop and closed-loop invariance

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Linear systems in control theory (93C05) Matrix equations and identities (15A24) Groups and semigroups of linear operators (47D03) Invariant subspaces of linear operators (47A15) Control/observation systems in abstract spaces (93C25)

Related Items (7)

Decoupling by incomplete state feedback for infinite dimensional systems ⋮ A note on robust disturbance-rejection problems for infinite-dimensional systems ⋮ Zero dynamics modeling and boundary feedback design for parabolic systems ⋮ Feedback invariance of SISO infinite-dimensional systems ⋮ Approximations of infinite dimensional disturbance decoupling and almost disturbance decoupling problems ⋮ The Byrnes--Isidori Form for Infinite-Dimensional Systems ⋮ Some remarks on adaptive stabilization of infinite-dimensional systems

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