Absolute Stability of Lurie Systems with Time-delay Based on Augmented Lyapunov Functional
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摘要: 对Lurie时滞系统的绝对稳定性问题进行了研究. 利用增广的Lyapunov泛函结合自由权矩阵方法, 得到了系统基于线性矩阵不等式(LMI)的时滞相关绝对稳定条件. 数值实例表明本文方法所得结果要优于现有文献中的结果.
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关键词:
- Lurie时滞系统 /
- 绝对稳定 /
- 时滞相关 /
- 增广Lyapunov泛函 /
- 自由权矩阵
Abstract: The problem of absolute stability of Lurie systems with time-delay is investigated in this paper. Some delay-dependent stability criteria are obtained and formulated in the form of linear matrix inequalities (LMIs) by using augmented Lyapunov functional combined with the free-weighting matrix approach. Numerical example shows that the results obtained in this paper are better than the existing results. -
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