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Solvability of the $H^\infty$ algebraic Riccati equation in Banach algebras
Published 26 Jul 2011 in math.OC, cs.SY, math.AP, math.FA, and math.RA | (1107.5187v1)
Abstract: Let $R$ be a commutative complex unital semisimple Banach algebra with the involution $\cdot \star$. Sufficient conditions are given for the existence of a stabilizing solution to the $H\infty$ Riccati equation when the matricial data has entries from $R$. Applications to spatially distributed systems are discussed.
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