Novel condition for exponential stability of linear system with mixed non-differential time-varying delay with feedback control

2018 International Joint Conference on Materials Science and Mechanical Engineering

Botmart, Thongchai^1 ; Prasertsang, Patarawadee^2

Faculty of Science, Department of Mathematics, Khon Kaen

40002, Thailand^1

Faculty of Science and Engineering, Department of General Sciences, Sakon Nakhon

47000, Thailand^2

关键词: Integral inequalities;    Lyapunov-Krasovskii functionals;    Mixed time-varying delays;    Time varying- delays;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/383/1/012020/pdf
DOI  :  10.1088/1757-899X/383/1/012020

来源: IOP

【 摘 要 】

The problem of exponential stability for linear system with mixed time-varying delay is investigated. The stability of linear system are proposed with feedback control. Based on the constructing of improved Lyapunov-Krasovskii functionals combined with Leibniz-Newton's formula and by utilizing the integral inequality, new sufficient condition for the stabilization of the systems is first established in terms of LMIs. A numerical example is given to illustrate that the effectiveness of the proposed feedback control.