Lyapunov equation for infinite-dimensional discrete bilinear systems |
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| Authors: | O. L. V. Costa |
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| Abstract: | Mean-square stability for discrete systems requires that uniform convergence is preserved between input and state correlation sequences. Such a convergence preserving property holds for an infinite-dimensional bilinear system if and only if the associate Lyapunov equation has a unique strictly positive solution. |
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| Keywords: | Discrete bilinear systems infinite-dimensional systems operator theory stability |
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