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Stability for 2-D linear discrete systems with stochastic parameters
The present paper is concerned with stability of two-dimensional (2-D) discrete systems with stochastic parameters. First, 2-D discrete system model with stochastic parameters 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, mean-square asymptotic stability is derived using linear matrix inequality theory. Our results can be seen as extensions of the 2-D linear deterministic case. Finally, an illustrative example is provided.
Stability for 2-D linear discrete systems with stochastic parameters
The present paper is concerned with stability of two-dimensional (2-D) discrete systems with stochastic parameters. First, 2-D discrete system model with stochastic parameters 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, mean-square asymptotic stability is derived using linear matrix inequality theory. Our results can be seen as extensions of the 2-D linear deterministic case. Finally, an illustrative example is provided.
Stability for 2-D linear discrete systems with stochastic parameters
Jia-Rui Cui, (Autor:in) / Guang-Da Hu, (Autor:in)
01.01.2010
458499 byte
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
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