Solvability of the $H^\infty$ algebraic Riccati equation in Banach algebras

Amol Sasane

paper

Solvability of the $H^{\infty}$ algebraic Riccati equation in Banach algebras

arXiv:1107.5187

Abstract

Let $R$ be a commutative complex unital semisimple Banach algebra with the involution $\cdot^{⋆}$ . 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.

arXiv comment7 pages, 0 figures, submitted for publication in a journal

Solvability of the H∞ algebraic Riccati equation in Banach algebras

Abstract

Solvability of the $H^{\infty}$ algebraic Riccati equation in Banach algebras