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

被引：11
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 39 条
[1]   Decentralized Event-Triggered Exponential Stability for Uncertain Delayed Genetic Regulatory Networks with Markov Jump Parameters and Distributed Delays [J].
Ali, M. Syed ;
Vadivel, R. .
NEURAL PROCESSING LETTERS, 2018, 47 (03) :1219-1252
[2]   Robust asymptotic stability of fuzzy Markovian jumping genetic regulatory networks with time-varying delays by delay decomposition approach [J].
Balasubramaniam, P. ;
Sathy, R. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (02) :928-939
[3]   Exponential stability of discrete-time genetic regulatory networks with delays [J].
Cao, Jinde ;
Ren, Fengli .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (03) :520-523
[4]   Quantized Static Output Feedback Control For Discrete-Time Systems [J].
Chang, Xiao-Heng ;
Xiong, Jun ;
Li, Zhi-Min ;
Park, Ju H. .
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2018, 14 (08) :3426-3435
[5]   Stochastic Stability Analysis for Switched Genetic Regulatory Networks with Interval Time-Varying Delays Based on Average Dwell Time Approach [J].
Krishnasamy, R. ;
Balasubramaniam, P. .
STOCHASTIC ANALYSIS AND APPLICATIONS, 2014, 32 (06) :1046-1066
[6]   Stability analysis of the differential genetic regulatory networks model with time-varying delays and Markovian jumping parameters [J].
Lakshmanan, S. ;
Rihan, Fathalla A. ;
Rakkiyappan, R. ;
Park, Ju H. .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2014, 14 :1-15
[7]   State Estimation for Genetic Regulatory Networks With Mode-Dependent Leakage Delays, Time-Varying Delays, and Markovian Jumping Parameters [J].
Lee, Tae H. ;
Lakshmanan, S. ;
Park, Ju H. ;
Balasubramaniam, P. .
IEEE TRANSACTIONS ON NANOBIOSCIENCE, 2013, 12 (04) :363-375
[8]   Synchronization of coupled nonidentical genetic oscillators [J].
Li, CG ;
Chen, LJN ;
Aihara, K .
PHYSICAL BIOLOGY, 2006, 3 (01) :37-44
[9]   GLOBAL EXPONENTIAL STABILITY ANALYSIS OF DISCRETE-TIME GENETIC REGULATORY NETWORKS WITH TIME DELAYS [J].
Li, Yanjiang ;
Zhang, Xian ;
Tan, Chong .
ASIAN JOURNAL OF CONTROL, 2013, 15 (05) :1448-1457
[10]  
Liberzon D., 2003, Switching in Systems and Control
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