Delay-dependent exponential stability criteria for neutral systems with interval time-varying delays and nonlinear perturbations

2013 ◽  
Vol 350 (10) ◽  
pp. 3313-3327 ◽  
Author(s):  
Yajuan Liu ◽  
S.M. Lee ◽  
O.M. Kwon ◽  
Ju H. Park
Keyword(s):  
Exponential Stability ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Stability Criteria ◽  
Neutral Systems ◽  
Interval Time ◽  
Delay Dependent

Robust Exponential Stability for Uncertain Neutral Systems with Interval Time-Varying Delay and Nonlinear Perturbations

2013 ◽  
Vol 284-287 ◽  
pp. 2305-2309
Author(s):  
Jenq Der Chen ◽  
Ruey Shin Chen ◽  
Chin Tan Lee ◽  
Chien Lu
Keyword(s):  
Exponential Stability ◽  
Stability Problem ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Neutral Systems ◽  
Robust Exponential Stability ◽  
Interval Time ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

In this paper, the robust exponential stability problem is investigated for a class of neutral systems with interval time-varying delay and nonlinear perturbations. Based on the Lyapunov-Krasovskii functionals in conjunction with Leibniz-Newton formula, novel LMI-based delay-dependent and delay-independent criteria are proposed to guarantee the robust exponential stability with a convergence rate for our considered systems. Finally, numerical examples are illustrated to show the improved results from using the proposed method.

scholarly journals New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations

2013 ◽  
Vol 2013 ◽  
pp. 1-18 ◽  
Author(s):  
Sirada Pinjai ◽  
Kanit Mukdasai
Keyword(s):  
Exponential Stability ◽  
Coefficient Matrix ◽  
Linear Matrix ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Stability Criteria ◽  
Neutral Systems ◽  
Robust Exponential Stability ◽  
Delay Dependent ◽  
Parameter Dependent

This paper is concerned with the problem of robust exponential stability for linear parameter-dependent (LPD) neutral systems with mixed time-varying delays and nonlinear perturbations. Based on a new parameter-dependent Lyapunov-Krasovskii functional, Leibniz-Newton formula, decomposition technique of coefficient matrix, free-weighting matrices, Cauchy’s inequality, modified version of Jensen’s inequality, model transformation, and linear matrix inequality technique, new delay-dependent robust exponential stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the effectiveness and less conservativeness of the proposed methods.

scholarly journals Robust Stability Criteria for Uncertain Neutral Systems with Interval Nondifferentiable Time-Varying Delay and Nonlinear Perturbations

2011 ◽  
Vol 2011 ◽  
pp. 1-20 ◽  
Author(s):  
W. Weera ◽  
P. Niamsup
Keyword(s):  
Robust Stability ◽  
Linear Matrix ◽  
Fast Time ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Stability Criteria ◽  
Neutral Systems ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

We study the robust stability criteria for uncertain neutral systems with interval time-varying delays and time-varying nonlinear perturbations simultaneously. The constraint on the derivative of the time-varying delay is not required, which allows the time-delay to be a fast time-varying function. Based on the Lyapunov-Krasovskii theory, we derive new delay-dependent stability conditions in terms of linear matrix inequalities (LMIs) which can be solved by various available algorithms. Numerical examples are given to demonstrate that the derived conditions are much less conservative than those given in the literature.

Exponential Stability for Uncertain Switched Neutral Systems with Nonlinear Perturbations

2011 ◽  
Vol 217-218 ◽  
pp. 668-673
Author(s):  
Xiu Liu ◽  
Shou Ming Zhong ◽  
Xiu Yong Ding
Keyword(s):  
Exponential Stability ◽  
Linear Matrix ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Neutral Systems ◽  
Weighting Matrix ◽  
The Stability ◽  
Switched Neutral Systems ◽  
Delay Dependent ◽  
Stability Results

The global exponential stability for switched neutral systems with time-varying delays and nonlinear perturbations is investigated in this paper. LMI-based delay-dependent criterion is proposed to guarantee exponential stability for our considered systems under any switched signal. Lyapunov-Krasovskii functional and Leibniz-Newton formula are applied to find the stability results. Free weighting matrix and linear matrix inequality (LMI) approaches are used to solve the proposed conditions.

Exponential Stability Criteria for Neutral System with Mixed Time-Varying Delays and Nonlinear Perturbations

2013 ◽  
Vol 787 ◽  
pp. 891-895 ◽  
Author(s):  
Shao Ying Wang ◽  
Fang Qiu ◽  
Xue Gang Tian
Keyword(s):  
Exponential Stability ◽  
Sufficient Conditions ◽  
Neutral System ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Stability Criteria ◽  
Neutral Systems ◽  
Numerical Examples

This paper focuses on the issue of robustly exponential stability for uncertain neutral systems with mixed time-varying delays and nonlinear perturbations. Some new sufficient conditions dependent on the delays are derived in terms of Lyapunov-Krasovskii functionals combined with free-weighting matrices. Two numerical examples are given to show the effectiveness of the proposed method.

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