It is shown that the Hankel operator for discrete-time infinite-dimensional systems with a stable state-space realization is nuclear. For continuous-time systems with an exponentially stable space realization this may not always hold. Some sufficient conditions for the Hankel operator to be nuclear are given.</p
We prove the H-infinity error bounds for Lyapunov balanced truncation and for optimal Hankel norm ap...
from L2a to a closed subspace M of L 2 which is invariant under the multiplication by the coordinate...
Let G be a Stieltjes function which is analytic in the open right half plane. It is shown that G is ...
It is shown that the Hankel operator for discrete-time infinite-dimensional systems with a stable st...
We examine the relationships between the exponential (or strong) stability of certain classes of reg...
In the theory for continuous-time linear systems, the system Hankel operator plays an important role...
In the theory for continuous-time linear systems, the system Hankel operator plays an important role...
The optimal Hankel norm approximation problem is solved for a class of infinite-dimensional systems ...
Let (S, B, in) be a finite measure space. The aim of this paper is to give necessary and sufficient ...
AbstractWe prove that an operator system S is nuclear in the category of operator systems if and onl...
A class of operators is introduced (μ -Hankel operators, μ is a complex parameter), which generalize...
AbstractThe present paper evolves from Berezanskii and Gali (Ukrainian Math. J. 24 (4) (1972), 435–4...
It is a classical therem due to Kronecker that a Hankel operator with bounded measurable symbol on t...
AbstractAfter introducing the notion of “dynamical interpretation functor” to provide a general meth...
This paper discusses singular value analysis of Hankel operators for both continuous-time and discre...
We prove the H-infinity error bounds for Lyapunov balanced truncation and for optimal Hankel norm ap...
from L2a to a closed subspace M of L 2 which is invariant under the multiplication by the coordinate...
Let G be a Stieltjes function which is analytic in the open right half plane. It is shown that G is ...
It is shown that the Hankel operator for discrete-time infinite-dimensional systems with a stable st...
We examine the relationships between the exponential (or strong) stability of certain classes of reg...
In the theory for continuous-time linear systems, the system Hankel operator plays an important role...
In the theory for continuous-time linear systems, the system Hankel operator plays an important role...
The optimal Hankel norm approximation problem is solved for a class of infinite-dimensional systems ...
Let (S, B, in) be a finite measure space. The aim of this paper is to give necessary and sufficient ...
AbstractWe prove that an operator system S is nuclear in the category of operator systems if and onl...
A class of operators is introduced (μ -Hankel operators, μ is a complex parameter), which generalize...
AbstractThe present paper evolves from Berezanskii and Gali (Ukrainian Math. J. 24 (4) (1972), 435–4...
It is a classical therem due to Kronecker that a Hankel operator with bounded measurable symbol on t...
AbstractAfter introducing the notion of “dynamical interpretation functor” to provide a general meth...
This paper discusses singular value analysis of Hankel operators for both continuous-time and discre...
We prove the H-infinity error bounds for Lyapunov balanced truncation and for optimal Hankel norm ap...
from L2a to a closed subspace M of L 2 which is invariant under the multiplication by the coordinate...
Let G be a Stieltjes function which is analytic in the open right half plane. It is shown that G is ...
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