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Solvability of the $H^\infty$ algebraic Riccati equation in Banach algebras
Riccati equations Banach algebras Systems over rings H1 control Spatially distributed dynamical systems
2011/9/21
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^\i...
On a direct study of an operator Riccati equation appearing in boundary value problems factorization
Factorization boundary value problem operator Riccati equation
2010/9/14
In this paper we propose a direct study of the Riccati equation satisfied by the Dirichlet-Neumann operator defined on a moving section for an elliptic boundary value problem set in a cylindrical doma...
We study perturbation bound and structured condition number about the minimal nonnegative solution of nonsymmetric algebraic Riccati equation, obtaining a sharp perturbation bound and an accurate cond...