Robust Stability of Lurie Nonlinear Discrete System with Time-Varying Delay via Scaled Small Gain Theorem

2018 ◽  
Author(s):  
Chaoqun Guo ◽  
Hongqian Lu ◽  
Yue Hu ◽  
Xingping Liu ◽  
Hongwei Chen
Keyword(s):  
Robust Stability ◽  
Discrete System ◽  
Time Varying ◽  
Time Varying Delay ◽  
Small Gain Theorem ◽  
Small Gain ◽  
Nonlinear Discrete System ◽  
Varying Delay

Small-gain theorem and finite-frequency analysis of TCP/AQM system with time varying delay

2019 ◽  
Vol 13 (13) ◽  
pp. 1971-1982 ◽  
Author(s):  
Belamfedel Alaoui Sadek ◽  
Tissir El Houssaine ◽  
Chaibi Noreddine
Keyword(s):  
Frequency Analysis ◽  
Time Varying ◽  
Finite Frequency ◽  
Time Varying Delay ◽  
Small Gain Theorem ◽  
Small Gain ◽  
Varying Delay

On robust stability for uncertain neutral systems with non-differentiable interval time-varying discrete delay and nonlinear perturbations

2017 ◽  
Vol 11 (01) ◽  
pp. 1850007 ◽  
Author(s):  
Peerapongpat Singkibud ◽  
Kanit Mukdasai
Keyword(s):  
Robust Stability ◽  
Linear Matrix ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Neutral Systems ◽  
Interval Time ◽  
Time Varying Delay ◽  
Robust Stability Analysis ◽  
Discrete Interval ◽  
Varying Delay

In this paper, we investigate the problem of delay-range-dependent robust stability analysis for uncertain neutral systems with interval time-varying delays and nonlinear perturbations. The restriction on the derivative of the discrete interval time-varying delay is removed. By applying the augmented Lyapunov–Krasovskii functional approach, new improved integral inequalities, descriptor model transformation, Leibniz–Newton formula and utilization of zero equation, new delay-range-dependent robust stability criteria are derived in terms of linear matrix inequalities (LMIs) for the considered systems. Numerical examples have shown to illustrate the significant improvement on the conservatism of the delay upper bound over some reported results.

New Delay-Dependent Robust Stability Criterion for Uncertain Stochastic Systems with Time-Varying Delays

2012 ◽  
Vol 461 ◽  
pp. 633-636
Author(s):  
Cheng Wang
Keyword(s):  
Robust Stability ◽  
Stability Criterion ◽  
Stochastic Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Varying Delay ◽  
Weighting Matrix ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

The problem of delay-dependent robust stability of uncertain stochastic systems with time-varying delay is discussed in this paper. Based on the Lyapunov-Krasovskii theory and free-weighting matrix technique, new delay-dependent stability criterion is presented. The criterion is in terms of linear matrix inequality (LMI) which can be solved by various available algorithms.

Sign in / Sign up

Export Citation Format

Share Document