Ali M Syed, Gunasekaran N, Ahn Choon Ki, Shi Peng
IEEE/ACM Trans Comput Biol Bioinform. 2018 Jan-Feb;15(1):271-285. doi: 10.1109/TCBB.2016.2606477. Epub 2016 Sep 7.
This paper deals with the sampled-data stabilization problem for Takagi-Sugeno (T-S) fuzzy genetic regulatory networks with leakage delays. A novel Lyapunov-Krasovskii functional (LKF) is established by the non-uniform division of the delay intervals with triplex and quadruplex integral terms. Using such LKFs for constant and time-varying delay cases, new stability conditions are obtained in the T-S fuzzy framework. Based on this, a new condition for the sampled-data controller design is proposed using a linear matrix inequality representation. A numerical result is provided to show the effectiveness and potential of the developed design method.
本文研究了具有泄漏时滞的Takagi-Sugeno（T-S）模糊基因调控网络的采样数据镇定问题。通过具有三重和四重积分项的时滞区间非均匀划分，建立了一种新颖的Lyapunov-Krasovskii泛函（LKF）。针对常时滞和变时滞情况使用此类LKF，在T-S模糊框架下获得了新的稳定性条件。基于此，利用线性矩阵不等式表示法提出了采样数据控制器设计的新条件。给出了一个数值结果以表明所提出设计方法的有效性和潜力。
