Solvability of the H^infty algebraic Riccati equation in Banach algebras
classification
🧮 math.OC
cs.SYeess.SYmath.APmath.FAmath.RA
keywords
banachequationinftyriccatialgebraalgebraicalgebrasapplications
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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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