Admissibility of input elements for diagonal semigroups on \(\ell\) 2
From MaRDI portal
Publication:1097222
DOI10.1016/0167-6911(88)90044-8zbMath0634.93046OpenAlexW1994368256MaRDI QIDQ1097222
Publication date: 1988
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-6911(88)90044-8
infinite dimensional systemsadmissibility of unbounded inputsCarleson measure criteriondiagonal semigroup
Linear systems in control theory (93C05) Groups and semigroups of linear operators (47D03) Control/observation systems in abstract spaces (93C25)
Related Items
Stability of infinite-dimensional sampled-data systems with unbounded control operators and perturbations ⋮ Necessary condition of linear distributed parameter systems with exact controllability ⋮ From PDEs with boundary control to the abstract state equation with an unbounded input operator: a tutorial. With discussion by Laurent Lefèvre and Didier Georges and comments by the authors. ⋮ Carleson measures for Hilbert spaces of analytic functions on the complex half-plane ⋮ Boundary control of a linear thermoelastic beam ⋮ Characteristic of left invertible semigroups and admissibility of observation operators ⋮ Admissible observation operators. Semigroup criteria of admissibility ⋮ A note on spectral realisations for delay systems ⋮ Laplace-Carleson embeddings and weighted infinite-time admissibility ⋮ \(p\)-admissible control elements for diagonal semigroups on \(l^{r}\)-spaces ⋮ Admissibility of retarded diagonal systems with one-dimensional input space ⋮ Reachable states for infinite-dimensional linear systems: old and new ⋮ Admissible observation operators for linear semigroups ⋮ Semigroup generation and stabilization by \(A^{\rho}\)-bounded feedback perturbations ⋮ On the Carleson measure criterion in linear systems theory ⋮ Interpolation by vector-valued analytic functions, with applications to controllability ⋮ New blow-up rates for fast controls of Schrödinger and heat equations ⋮ Exact controllability of a system of coupled strings in parallel ⋮ Necessary conditions for the exact observability of systems on Hilbert spaces ⋮ A semigroup characterization of well-posed linear control systems ⋮ Exact observability of diagonal systems with a finite-dimensional output operator ⋮ On invariance of \(p\)-admissibility of control and observation operators to \(q\)-type of perturbations of generator of \(C_{0}\)-semigroup ⋮ Weak admissibility does not imply admissibility for analytic semigroups ⋮ Zero-class admissibility of observation operators ⋮ Admissibility of diagonal state-delayed systems with a one-dimensional input space ⋮ Necessary conditions for exact controllability with a finite-dimensional input space ⋮ Some problems of linear differential equations on abstract spaces and unbounded perturbations of linear operator semigroup ⋮ The operator Carleson measure criterion for admissibility of control operators for diagonal semigroups on \(\ell ^ 2\) ⋮ Riesz Bases of Port-Hamiltonian Systems
Cites Work
