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Mean-square stability for discrete bilinear systems in Hilbert space |
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| Authors: | C S Kubrusly |
| Abstract: | A discrete system is uniformly mean-square stable if uniform convergence is preserved between input and state correlation sequences, and if nuclearity is preserved between the input and state correlation limits. This paper supplies a contraction-free condition ensuring mean-square stability for infinite-dimensional bilinear systems evolving in a separable Hilbert space. |
| Keywords: | Discrete bilinear systems infinite-dimensional systems operator theory stability |
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