5 citations · 15 across the 34 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Projective freeness of algebras of real symmetric functions
Amol Sasane
Let D^n be the closed unit polydisk in C^n. Consider the ring C_r of complex-valued continuous functions on D^n that are real symmetric, that is, f(z)=(f(z^*))^* for all z in D^n.…