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- W2025394266 abstract "The main goal of the present paper is to find computable stability criteria for two-dimensional stochastic systems based on Kronecker product and nonnegative matrices theory. First, 2-D discrete stochastic system model is established by extending system matrices of the well-known Fornasini-Marchesini@?s second model into stochastic matrices. The elements of these stochastic matrices are second-order, weakly stationary white-noise sequences. Second, a necessary and sufficient condition for 2-D stochastic systems is presented, this is the first time that has been proposed. Third, computable mean-square asymptotic stability criteria are derived via Kronecker product and the nonnegative matrix theory. The criteria are only sufficient conditions. Finally, illustrative examples are provided." @default.
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- W2025394266 date "2012-07-01" @default.
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- W2025394266 title "Asymptotical stability of 2-D linear discrete stochastic systems" @default.
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- W2025394266 doi "https://doi.org/10.1016/j.dsp.2012.03.005" @default.
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