Let ℓp be the space of all p-summable sequences on Z. An infinite matrix is said to have ℓp-stability if it is bounded and has bounded inverse on ℓp. In this paper, a practical criterion is established for the ℓp-stability of convolution-dominated infinite matrices. © 2010 American Mathematical Society
AbstractMatrix stability has been intensively investigated in the past two centuries. We review work...
In this paper we study the optimizability of infinite-dimensional systems with admissible control op...
We derive absolute-stability results of Popov and circle-criterion type for infinite-dimensional sys...
Let ℓp be the space of all p-summable sequences on Z. An infinite matrix is said to have ℓp-stabilit...
Let l(p) be the space of all p-summable sequences on Z. An infinite matrix is said to have l(p)-stab...
Let ℓp, 1 ≤ p ≤ ∞, be the space of all p-summable sequences and Ca be the convolution operator assoc...
Let l(P), 1 \u3c = p \u3c = infinity, be the space of all p-summable sequences and C,, be the convol...
This dissertation originates from a classical result that the lp-stability of the convolution operat...
We derive absolute-stability results of Popov and circle-criterion type for infinite-dimensional sys...
In this paper, we analyze the l(infinity)-stability of infinite dimensional discrete autonomous syst...
Let $n \in \mathbb{N}$ tend towards infinity and $r \in [0,1)$ tend towards 1 with the condition th...
In this short note, it is proved the existence of in nite matrices that not only preserve convergen...
We derive absolute stability results of Popov and circle-criterion type for in nite-dimensional sys...
For a wide class of infinite-dimensional linear systems it is shown that if the state-space realizat...
In this work, we introduce the class of P 1 max -matrices for the max algebraandderivesomeprope...
AbstractMatrix stability has been intensively investigated in the past two centuries. We review work...
In this paper we study the optimizability of infinite-dimensional systems with admissible control op...
We derive absolute-stability results of Popov and circle-criterion type for infinite-dimensional sys...
Let ℓp be the space of all p-summable sequences on Z. An infinite matrix is said to have ℓp-stabilit...
Let l(p) be the space of all p-summable sequences on Z. An infinite matrix is said to have l(p)-stab...
Let ℓp, 1 ≤ p ≤ ∞, be the space of all p-summable sequences and Ca be the convolution operator assoc...
Let l(P), 1 \u3c = p \u3c = infinity, be the space of all p-summable sequences and C,, be the convol...
This dissertation originates from a classical result that the lp-stability of the convolution operat...
We derive absolute-stability results of Popov and circle-criterion type for infinite-dimensional sys...
In this paper, we analyze the l(infinity)-stability of infinite dimensional discrete autonomous syst...
Let $n \in \mathbb{N}$ tend towards infinity and $r \in [0,1)$ tend towards 1 with the condition th...
In this short note, it is proved the existence of in nite matrices that not only preserve convergen...
We derive absolute stability results of Popov and circle-criterion type for in nite-dimensional sys...
For a wide class of infinite-dimensional linear systems it is shown that if the state-space realizat...
In this work, we introduce the class of P 1 max -matrices for the max algebraandderivesomeprope...
AbstractMatrix stability has been intensively investigated in the past two centuries. We review work...
In this paper we study the optimizability of infinite-dimensional systems with admissible control op...
We derive absolute-stability results of Popov and circle-criterion type for infinite-dimensional sys...