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On mean-square-stable bilinear systems |
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| Authors: | COSTA, O. L. V. FERREIRA, GISELLE M. S. KUBRUSLY, C. S. |
| Affiliation: | University of São Paulo São Paulo, Brazil University of York York, England Catholic University PUC/RJ, and National Laboratory for Scientific Computation LNCC; Rio de Janeiro, Brazil |
| Abstract: | It has been shown in a previous paper that an infinite-dimensionalstochastic discrete bilinear system is mean-square-stable ifand only if the spectral radii of two transformations of Hilbert-spaceoperators are both less than one. The present paper investigatesconditions to be imposed on the model operators in order toensure that such spectral radii coincide. Several examples arepresented and the main result establishes the spectral radiusidentity for models with compact operators. |
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