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On the almost sure and mean-square exponential convergence of some stochastic observers

机译:关于一些随机观测者的几乎确定和均方指数收敛

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摘要

It is pointed out that linear observers used for estimating the state of the discrete-time stochastic-parameter systems are both almost surely and mean-square (MS) exponentially convergent under the same conditions guaranteeing mean-square convergence. In addition to the mean-square convergence properties of linear observers constructed for mean-square stable stochastic-parameter systems, they also possess an almost-sure exponential convergence property, and the rate of MS convergence is exponential. This rate depends on the parameters used in the design.
机译:指出用于估计离散时间随机参数系统状态的线性观测器在确保均方收敛的相同条件下几乎确定且均方(MS)呈指数收敛。除了为均方稳定随机参数系统构造的线性观测器的均方收敛性,它们还具有几乎确定的指数收敛性,并且MS收敛的速率是指数的。该速率取决于设计中使用的参数。

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