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| Stability analysis for neutral systems with interval time-varying delays |
| MAO Wei-jie, ZHANG Yuan-yuan |
| Department of Control Science and Engineering, Zhejiang University, Hangzhou 310027, China |
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Abstract Based on the Lyapunov-Krasovskii functional method and the free weighting matrix method, a delay-range-dependent stability condition is proposed for a class of linear neutral systems with interval time-varying delays. When the derivative of the delay is known, a range-dependent and rate-dependent stability condition is obtained; when the derivative of the delay is unknown, a range-dependent and rate-independent stability condition is obtained. The proposed stability condition is further extended to the neutral systems with norm-bounded uncertainties and a robust delay-range-dependent stability condition is established. As all the conditions are derived in terms of LMIs, it is very convenient to solve them by using the LMI toolbox. Finally, numerical examples are given to show the effectiveness of the proposed conditions．
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Published: 01 May 2012
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具有区间时变时滞的中立型系统稳定性分析
针对一类具有区间时变时滞的线性中立型系统,基于Lyapunov-Krasovskii泛函与改进的自由权矩阵方法,提出时滞区间依赖型稳定性条件.当时滞的变化率已知时,得到同时依赖于时滞区间和时滞变化率的稳定性条件；当时滞的变化率未知时,得到依赖于时滞区间、独立于时滞变化率的稳定性条件.所给条件进一步推广到具有范数有界不确定性的中立型系统,提出鲁棒稳定性条件.所有结果均以线性矩阵不等式的形式给出,利用线性矩阵不等式(LMI)工具求解非常方便.数值实例验证了结果的有效性.
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