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Solvability of the H ∞ algebraic Riccati Equation in Banach algebras

By Amol Sasane

Abstract

Let R be a commutative complex unital semisimple Banach algebra with the involution {Mathematical expression} . Sufficient conditions are given for the existence of a stabilizing solution to the H∞ Riccati equation when the matricial data has entries from R. Applications to spatially distributed systems are discussed. © 2011 Springer Basel AG

Topics: QA Mathematics
Publisher: Birkhauser Basel
Year: 2012
DOI identifier: 10.1007/s00020-011-1938-4
OAI identifier: oai:eprints.lse.ac.uk:41382
Provided by: LSE Research Online
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