针对一类不确定中立型时滞系统的鲁棒稳定性问题,采用自由矩阵积分不等式(FMBII)方法进行深入研究。提出了一种简化的FMBII,利用它估计Lyapunov-Krasovskii泛函的导数,得到具有更低保守性的时滞相关稳定判据。最后,通过2个数值实例,将本文方法与文献[4],[5],[7],[8]所提方法进行比较。数值实例结果表明了本文方法的有效性和优越性。
In view of the robust stability exhibited by an uncertain neutral system with time delays, an intensive research has thus been conducted by adopting the free-matrix-based integral inequality (FMBII) method. A simplified FMBII is proposed for the estimation of the derivative of Lyapunov- Krasovskii functional, thus obtaining the delay- dependent stability criteria with less degree of conservation. Finally, a comparison has been made between the current proposed method and the existing methods (see [4], [5], [7]and[8]), with the numerical example results verifying the validity and superiority of the currenth proposed approach.