An observer for infinite-dimensional dissipative bilinear systems
Identifieur interne : 00C650 ( Main/Exploration ); précédent : 00C649; suivant : 00C651An observer for infinite-dimensional dissipative bilinear systems
Auteurs : C.-Z. Xu [France] ; P. Ligarius [France] ; J.-P. Gauthier [France]Source :
- Computers and Mathematics with Applications [ 0898-1221 ] ; 1995.
English descriptors
- Teeft :
- Bilinear, Bilinear system, Bilinear systems, Compact operator, Constant formula, Convergence, Converges, Dissipative, Dissipative operator, Error convergence, Estimation error, Estimation error converges, Evolution operator, Finite number, Hilbert space, Ieee trans, Input function, Input signal, Lemma, Linear operators, Main result, Mild evolution operators, Mild solutions, Observer error, Other words, Persistent input, Positive element, Positive function, Positive input, Simple observer, Stronger convergence, Subsequence, Topology, Uniform topology.
Abstract
Abstract: We consider bilinear systems of the form χ ̇(t)=Aχ(t)+u(t)Bχ(t), y(t)=〈χ(t),c〉 on an infinite-dimensional Hilbert space H, where A is the generator of a semigroup of contraction, B is a bounded dissipative operator and c ∈ H. The input signal u ∈ L∞ (R+) such that u(t) ⩾ 0 for almost every t ∈ R+. We present a simple observer for this class of systems with the estimation error converging weakly to zero in H for every sufficiently rich input (inputs that we call “regularly persistent”). Our result is a generalization of the previous results in [1,2].
Url:
DOI: 10.1016/0898-1221(95)00014-P
Affiliations:
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Ligarius</name><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>INSA-LMI de Rouen, URA CNRS 1378, Department of Mathematics Place émile Blondel, 76131, Mont-st-Aignan Cedex</wicri:regionArea><placeName><region type="region" nuts="2">Région Normandie</region><region type="old region" nuts="2">Haute-Normandie</region><settlement type="city">Mont-st-Aignan</settlement></placeName></affiliation></author><author><name sortKey="Gauthier, J P" sort="Gauthier, J P" uniqKey="Gauthier J" first="J.-P." last="Gauthier">J.-P. 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The input signal u ∈ L∞ (R+) such that u(t) ⩾ 0 for almost every t ∈ R+. We present a simple observer for this class of systems with the estimation error converging weakly to zero in H for every sufficiently rich input (inputs that we call “regularly persistent”). Our result is a generalization of the previous results in [1,2].</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Grand Est</li><li>Haute-Normandie</li><li>Lorraine (région)</li><li>Région Normandie</li></region><settlement><li>- Metz</li><li>Mont-st-Aignan</li></settlement></list><tree><country name="France"><region name="Grand Est"><name sortKey="Xu, C Z" sort="Xu, C Z" uniqKey="Xu C" first="C.-Z." last="Xu">C.-Z. Xu</name></region><name sortKey="Gauthier, J P" sort="Gauthier, J P" uniqKey="Gauthier J" first="J.-P." last="Gauthier">J.-P. Gauthier</name><name sortKey="Gauthier, J P" sort="Gauthier, J P" uniqKey="Gauthier J" first="J.-P." last="Gauthier">J.-P. Gauthier</name><name sortKey="Ligarius, P" sort="Ligarius, P" uniqKey="Ligarius P" first="P." last="Ligarius">P. Ligarius</name><name sortKey="Xu, C Z" sort="Xu, C Z" uniqKey="Xu C" first="C.-Z." last="Xu">C.-Z. Xu</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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