Li Y.,Fuzhou University |
Li Y.,Fujian Key Laboratory of Medical Instrumentation |
Zhu Y.,Fuzhou University |
Zhu Y.,Fujian Key Laboratory of Medical Instrumentation |
And 4 more authors.
Neurocomputing | Year: 2011
In this paper, the stability analysis problem is investigated for a standard class of genetic regulatory networks (GRNs) with stochastic disturbances and time-varying delays. The standard GRNs under consideration are based on the model of the recurrent neural networks, the stochastic perturbation is in the form of a scalar Brownian motion, and the time-varying delays exist in the transcription and translation processes. Specifically, we are interested in (1) establishing a standard model for the time-varying delayed GRNs and (2) establishing conditions under which the standard GRNs are exponentially mean-square stable in the presence of time delays and stochastic disturbances. By using the linear matrix inequality (LMI) technique and. S-procedure, sufficient conditions are first derived for ensuring globally asymptotic and exponential stability that can be easily solved by using standard software packages. Two numerical examples are exploited to demonstrate the effectiveness of the proposed method. © 2011 Elsevier B.V.
Chen X.-H.,Fuzhou University |
Chen X.-H.,Fujian Key Laboratory of Medical Instrumentation |
Liu S.-L.,Fujian Key Laboratory of Medical Instrumentation |
Liu S.-L.,Fuzhou University |
And 3 more authors.
Wuli Huaxue Xuebao/ Acta Physico - Chimica Sinica | Year: 2012
Based on the empirical formula for concentration change of a detected molecule on the surface of a electrode, an approximate mathematical model of improved chronoamperometry was established. The relationship between the working current and detection reagent concentration was analyzed qualitatively. Parameters for the electrode reaction and excitation potential were not included. To solve this problem, the Nernst equation and Fick's law were applied to construct an integral equation for the specific concentrations of the oxidant and reductant on the surface of the electrode. The current-time curve obtained numerically was used to investigate the relationship between the peak current and concentration of reagent, inertia time constant, standard potential of the reference electrode, initial value and steady state value of the voltage excitation. Using the improved chronoamperometry device, we studied the electrochemical behavior of K 3[Fe(CN) 6]. The experimental results showed that the simulation results from the numerical model were much closer to the actual situation than the empirical model. The experimental results also confirmed the parameter relationships that were derived using the model. © Editorial office of Acta Physico-Chimica Sinica.