Stability Analysis and Estimate of Domain of Attraction for a Class of Nonlinear Time-varying Delay Systems
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摘要: 针对一类非线性时变时滞系统,研究其稳定性和吸引域的估计问题. 首先,通过坐标变换和正交分解法,将这类系统转化为一个等价形式. 其次,基于正交条件和引入自由权矩阵, 给出了这类系统具有较小保守性的稳定性和吸引域估计结果. 最后,仿真例子验证了所提出方法的有效性.Abstract: The stability and estimate of domain of attraction are studied for a class of nonlinear time-varying delay systems. Firstly, an equivalent form is obtained for the systems by means of coordinate transformation and orthogonal decomposition of vector fields. Then, based on the orthogonal condition and the free-weighting matrix method, several less conservative results are derived on the stability and estimate of domain of attraction. Finally, illustrative examples show effectiveness of the proposed method.
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Key words:
- Time-varying delay systems /
- equivalent form /
- stability /
- domain of attraction
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