Dynamic output feedback control of discrete-time switched GRNs with time-varying delays. Issue 2 (January 2020)

• Record Type: Journal Article
• Authors: Yu, Tingting; Zhao, Tongyu; Liu, Jianxing; Zeng, Qingshuang
• Is Part Of: Journal of the Franklin Institute. Volume 357:Issue 2(2020)
• Page Start: 1043
• Page End: 1069
• Publication Date: 2020-01
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2019.10.019
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: 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.