Yu Tingting, Liu Jianxing, Zeng Qingshuang, Wu Ligang
IEEE/ACM Trans Comput Biol Bioinform. 2021 May-Jun;18(3):1082-1092. doi: 10.1109/TCBB.2019.2936351. Epub 2021 Jun 3.
This paper deals with the problem of dissipativity-based filtering for switched genetic regulatory networks (GRNs) with stochastic perturbation and time-varying delays. By choosing an appropriate piecewise Lyapunov function and using the average dwell time method, we propose a new set of sufficient conditions in terms of Linear matrix inequalities (LMIs) for the existence of dissipative filter, which ensures that the resulting filtering error system is mean-square exponentially stable with dissipativity performance. The filter gains are provided by solving feasible solutions to a certain set of LMIs. A simulation example is given to demonstrate the effectiveness of the desired dissipativity-based filter design approach.
本文研究了具有随机扰动和时变延迟的切换基因调控网络（GRNs）基于耗散性的滤波问题。通过选择合适的分段Lyapunov函数并使用平均驻留时间方法，我们针对耗散滤波器的存在性提出了一组基于线性矩阵不等式（LMI）的新的充分条件，这确保了所得滤波误差系统在耗散性能下是均方指数稳定的。滤波器增益通过求解某组LMI的可行解来提供。给出了一个仿真例子来证明所期望的基于耗散性的滤波器设计方法的有效性。
