马尔可夫切换基因调控网络的分布式滤波

Distributed Filtering for Markovian Switching Genetic Regulatory Networks

研究了传感器网络中一类具有马尔可夫跳变参数的离散时间基因调控网络的分布式H_∞滤波问题.首先,在同时出现网络诱导时滞和随机切换传感网络拓扑情形下建立分布式滤波系统模型.相应的滤波误差系统为具有时变时滞的非线性马尔可夫切换时滞系统.其次,利用随机Lyapunov泛涵分析了增广滤波误差系统的随机稳定性和H_∞性能.再次,借助于凸优化问题的解获得滤波系统参数.最后,利用数值仿真例子验证了该设计方法的有效性.

The problem of distributed H∞ filtering was investigated for a class of discrete-time genetic regulatory net- works with Markovian jumping parameters over a sensor network. First, a distributed filtering system was modeled in the simultaneous presence of network-induced delay and randomly switching sensing topology. The resultant filtering error system was transformed into a nonlinear Markovian switching system with time-varying delay. Next, stochastic stability and H∞ performance of the augmented filtering error system are analyzed by applying a Lyapunov fuctional. Then, the filtering system parameters are obtained by utilizing the solutions of some convex optimization problem. Fi- nally, a numerical example was presented to iUustrate the effectiveness of the design method.