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Feedback equivalence and uniform ensemble reachability
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NSTL
Elsevier
This paper considers feedback methods for ensemble reachability of parameter-dependent linear systems (A(theta), B(theta)), where the parameter theta is varying over a compact Jordan arc in the complex plane. Recently, pointwise testable sufficient conditions for uniform ensemble reachability have been developed. Beside the necessity of pointwise reachability these conditions put restrictions on the spectra of the matrices A(theta) and the Hermite indices of the pair (A(theta), B(theta)). In this paper we show that these conditions can be ensured by applying a suitable feedback transformation if the pair (A(theta), B(theta)) is pointwise reachable and its Kronecker indices are independent of the parameter. (c) 2022 Elsevier Inc. All rights reserved.
Parameter-dependent linear systemsEnsemble reachabilityCanonical formKronecker indicesHermite indicesFeedback equivalenceSIMULTANEOUS SYSTEM-DESIGNHERMITE INDEXESLINEAR-SYSTEMSCONTROLLABILITYSTABILIZABILITYSTABILIZATIONFAMILIES
NSTL
Elsevier
