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

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.

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.

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