Dynamic output feedback control of discrete-time switched GRNs with time-varying delays

被引：9

作者：

Yu, Tingting ^{[1
]}

Zhao, Tongyu ^{[2
]}

Liu, Jianxing ^{[2
]}

Zeng, Qingshuang ^{[1
]}

机构：

[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China

[2] Harbin Inst Technol, Dept Control Sci & Engn, Harbin 150001, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 02期

基金：

中国国家自然科学基金;

关键词：

GENETIC REGULATORY NETWORKS; STOCHASTIC STABILITY ANALYSIS; HOPF-BIFURCATION ANALYSIS; ASYMPTOTIC STABILITY; STATE ESTIMATION; EXPONENTIAL STABILITY; NEURAL-NETWORKS; LEAKAGE; INEQUALITY; SYSTEMS;

D O I：

10.1016/j.jfranklin.2019.10.019

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper focuses on the dynamic output feedback (DOF) controller design problem for discrete-time switched genetic regulatory networks (GRNs) with time-varying delays. Firstly, based on the average dwell time method and piecewise Lyapunov-Krasovskii functional, the exponential stability criteria are derived by utilizing a new summation inequality, an extended reciprocally convex matrix inequality and the extension of the property of quadratic convex function. Then, sufficient conditions for a desired DOF controller are obtained such that the resulting closed-loop system is exponentially stable. Moreover, the explicit expressions of all desired controllers are given. Finally, numerical example is provided to verify the effectiveness of the proposed design techniques. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1043 / 1069

页数：27