摘要
研究了具有区间时变时滞线性不确定系统的稳定性问题。通过引入新型的Lyapunov泛函,结合改进型的Jensen积分不等式,推导出区间时变时滞线性系统的时滞相关鲁棒稳定新判据。该方法在推导过程中没有用到模型变换及自由权矩阵方法,简化了计算上的复杂性。由于判据中充分利用了时变时滞的中值及时滞变化范围两个参数,减少了结果的保守性。数值算例表明了提出方法的有效性及优越性。
This paper is concerned with the stability of systems with interval time-varying delay. By constructing an appropriate type of Lyapunov functional and employing a new and tighter integral inequalityJense,the improved delay-dependent stability criteria are derived. Because neither any model transformation nor free weighting matrices are employed in the theoretical derivation,the developed stability criteria reduce the complexity of the computation. By taking full advantage of the median estimate and varying range of the delay,the conservative is also reduced. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.
出处
《电光与控制》
北大核心
2015年第1期45-47,58,共4页
Electronics Optics & Control
基金
国家自然科学基金(61074020)
中央高校自主科研基金(DC120101022)
关键词
时滞系统
稳定性
区间时变时滞
时滞相关
system with time delay
stability
interval time-varying delay
delay-dependent