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In this paper the problem of trajectory tracking by a stochastic recurrent neural network to a gene regulatory network described by a nonlinear dynamic model is studied. Based on the Lyapunov theory is obtained a control law of that achieves the global asymptotic stability of the tracking error.
Using the projection theory and modern time series analysis method, based on the autoregressive moving average (ARMA) innovation model and white noise estimators, the reduced-order Wiener state estimators for descriptor system with MA colored observation noise and multi-observation lags are presented. They can handle the prediction, filtering and smoothing in a unified framework. They avoid the solutions...
In this paper, we deal with Hinfin filtering problem for a class of two-dimensional (2-D) discrete time-invariant systems with state delays described by local state-space (LSS) Fornasini-Marchesini (FM) second model. Based on the bounded real lemma of 2-D state-delayed systems, Hinfin filtering design is developed, such that the filtering error system is asymptotically stable and has Hinfin performance...
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