On delay-interval-dependent robust stability of LPD discrete-time system with mixed time-varying delays and nonlinear uncertainties

Advances in Difference Equations

Kanit Mukdasai¹  Narongrit Kaewbanjak² 

[1] Department of Mathematics, Faculty of Science, Khon Kaen University;Faculty of Science at Sriracha, Kasetsart University Sriracha Campus;

关键词: Parameter dependence;    Lyapunov–Krasovskii functional;    Linear matrix inequality (LMI);    LPD discrete-time system;    Interval time-varying delay;   

DOI  :  10.1186/s13662-019-2179-0

来源: DOAJ

【 摘 要 】

Abstract In this work, a delay-interval-dependent robust stability problem for linear parameter dependent (LPD) discrete-time system with discrete and distributed time-varying delays and nonlinear uncertainties is addressed. By adopting combinations of mixed model transformation, various inequality expressions, utilization of zero equations, and new parameter dependent Lyapunov–Krasovskii functional, a new delay-interval-dependent asymptotic stability criterion is derived in the form of linear matrix inequalities. Moreover, an improved delay-interval-dependent asymptotic stability criterion of discrete-time linear system with discrete time-varying delay and nonlinear uncertainties is also achieved. Some numerical examples are also illustrated to exhibit the effectiveness with less conservatism of the proposed stability criterion.

【 授权许可】

Unknown