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
收藏
页码：1043 / 1069
页数：27
相关论文
共 50 条
  • [31] Dynamic Output Feedback Passive Control of Uncertain Switched Stochastic Systems with Time-Varying Delay
    Jia, Huimei
    Karimi, Hamid Reza
    Xiang, Zhengrong
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [32] Robust Stability Analysis of Uncertain Discrete-time Systems with Time-Varying Feedback Loop Delays
    Sundarajan, P.
    Ramakrishnan, K.
    2013 INTERNATIONAL CONFERENCE ON POWER, ENERGY AND CONTROL (ICPEC), 2013, : 463 - 466
  • [33] Asymptotic stability and stabilization of discrete-time switched systems with time-varying delay
    Charqi, Mohammed
    Tissir, El Houssaine
    Boukili, Bensalem
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2021, 42 (02) : 486 - 502
  • [34] Robust stability and H∞ control for nonlinear discrete-time switched systems with interval time-varying delay
    Dong, Yali
    Liang, Shuang
    Wang, Huiming
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (06) : 1999 - 2015
  • [35] Mixed H2/H∞ Output Tracking Control for Discrete-Time Systems with Multiple Time-Varying Delays
    Zhang, Ni
    Fan, Yixin
    He, Xiongxiong
    2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 2839 - 2844
  • [36] Estimator Design for Discrete-Time Switched Neural Networks With Asynchronous Switching and Time-Varying Delay
    Zhang, Dan
    Yu, Li
    Wang, Qing-Guo
    Ong, Chong-Jin
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2012, 23 (05) : 827 - 834
  • [37] On a Discrete-Time Networked Epidemic Model With Time-Varying Heterogeneous Delays
    Liu, Fangzhou
    Shi, Lei
    Shao, Jinliang
    Liu, Qingchen
    IEEE CONTROL SYSTEMS LETTERS, 2024, 8 : 2289 - 2294
  • [38] State estimation for discrete-time neural networks with time-varying delays
    Mou, Shaoshuai
    Gao, Huijun
    Qiang, Wenyi
    Fei, Zhongyang
    NEUROCOMPUTING, 2008, 72 (1-3) : 643 - 647
  • [39] Exponential stability of discrete-time systems with slowly time-varying delays
    Chen, Da
    Liu, Xingwen
    Shi, Kaibo
    Shao, Shiquan
    Wang, Huazhang
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2022, 46
  • [40] New Results on Passivity for Discrete-Time Stochastic Neural Networks with Time-Varying Delays
    Kang, Wei
    Cheng, Jun
    Cheng, Xiangyang
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
12345