Stability analysis of neutral systems with mixed interval time-varying delays and nonlinear disturbances

2020 ◽  
Vol 357 (6) ◽  
pp. 3721-3740 ◽  
Author(s):  
Wenbin Chen ◽  
Shengyuan Xu ◽  
Yongmin Li ◽  
Zhengqiang Zhang
Keyword(s):  
Stability Analysis ◽  
Time Varying ◽  
Neutral Systems ◽  
Interval Time ◽  
Nonlinear Disturbances

Exponential stability analysis for uncertain switched neutral systems with interval-time-varying state delay

2009 ◽  
Vol 3 (3) ◽  
pp. 334-342 ◽  
Author(s):  
Chang-Hua Lien ◽  
Ker-Wei Yu ◽  
Yeong-Jay Chung ◽  
Yen-Feng Lin ◽  
Long-Yeu Chung ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Exponential Stability ◽  
Time Varying ◽  
Neutral Systems ◽  
State Delay ◽  
Interval Time ◽  
Switched Neutral Systems

Improved delay-dependent stability criteria for neutral systems with mixed interval time-varying delays and nonlinear disturbances

2017 ◽  
Vol 354 (2) ◽  
pp. 1169-1194 ◽  
Author(s):  
Reza Mohajerpoor ◽  
Lakshmanan Shanmugam ◽  
Hamid Abdi ◽  
Rajan Rakkiyappan ◽  
Saeid Nahavandi ◽  
...  
Keyword(s):  
Time Varying ◽  
Stability Criteria ◽  
Neutral Systems ◽  
Interval Time ◽  
Nonlinear Disturbances ◽  
Delay Dependent ◽  
Delay Dependent Stability

scholarly journals ℋ∞Performance and Stability Analysis of Linear Systems with Interval Time-Varying Delays and Stochastic Parameter Uncertainties

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
M. J. Park ◽  
O. M. Kwon ◽  
Ju H. Park ◽  
S. M. Lee ◽  
E. J. Cha
Keyword(s):  
Stability Analysis ◽  
Linear Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Parameter Uncertainties ◽  
Interval Time ◽  
Stochastic Parameter ◽  
Stochastic Properties ◽  
Random Change

This paper deals with the problems ofℋ∞performance and stability analysis for linear systems with interval time-varying delays. It is assumed that the parameter uncertainties are of stochastic properties to represent random change of various environments. By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative criteria of the concerned systems are introduced with the framework of linear matrix inequalities (LMIs). Four numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed methods.

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.

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