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Solvability of the H ∞ algebraic Riccati Equation in Banach algebras

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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.

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en

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http://eprints.lse.ac.uk/41382/

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