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math.OC2011
On two natural extensions of Vinnicombe's metric: their noncoincidence yet equivalence on stabilizable plants over A_+
Rudolf Rupp, Amol Sasane
Let A_+ be the ring of Laplace transforms of complex Borel measures on R with support in [0,+\infty) which do not have a singular nonatomic part. We compare the nu-metric d_{A_+} f…
math.OC2011★ 1 cited
Solvability of the algebraic Riccati equation in Banach algebras
Amol Sasane
Let be a commutative complex unital semisimple Banach algebra with the involution . Sufficient conditions are given for the existence of a stabilizing solution to…
math.OC2011
Extension of the -metric for stabilizable plants over
Amol Sasane
An abstract -metric was introduced by Ball and Sasane, with a view towards extending the classical -metric of Vinnicombe from the case of rational transfer functions to more…