含离散与分布时滞的不确定中立型系统鲁棒稳定性新判据

基于离散时滞分解思想,通过构造一种新的Lyapunov-Krasovskii泛函并结合Jensen不等式技巧,建立了线性矩阵不等式(LMI)形式的时滞相关鲁棒稳定性新判据.该方法允许中立时滞项的系数矩阵存在时变不确定性,增强了系统的鲁棒性能.同时针对分布时滞项难于处理的问题,构造了其分解计算泛函.数值算例表明所得结论的有效性和更低的保守性.

New robust stability criteria for uncertain neutral-type systems with discrete and distributed delay

Being inspired by the idea of discrete time-delay decomposition, we formulate a new delay-dependent robust stability criterion in terms of linear matrix inequalities (LMIs) for the uncertain neutral-type systems with discrete and distributed time-delay. It is derived by constructing a new kind of Lyapunov-Krasovskii functional and combining theJensen inequality technology. Time-varying uncertainties are allowed in the coefficient matrix of the neutral time-delay system, which improves the robust performance of the system. To deal with the difficulties in handling the distributed timedelay, we develop a decomposed functional for its calculation. Numerical examples show the effectiveness and reduced conservatism of the proposed design method.