针对一类区间时变时滞广义系统的稳定性问题,本文通过采用新型的增广Lya-punov-Krasovskii泛函,在推导技术上,运用交互式凸组合以及积分不等式等方法处理时滞项,得到基于新的线性矩阵不等式的时滞相关稳定性判据,并通过数值实例进行验证,结果表明,本文方法与文献[9]和[13]相比较具有更低的保守性,能够获得使系统稳定所容许的最大时滞上界值.该方法可以推广到广义系统的H∞控制以及鲁棒控制等问题的研究中.
This paper is concerned with the problem of delay-dependent interval time-varying de and using the reciprocal ays. By constructing y convex method and bility criterion is established in terms of linear illustrate the improvement of the upper bound results. The method can be applied to the ot control for singular time-delay systems. a new type of augmente stability for singular systems with d Lyapunov-Krasovskii functional, the integral inequality technique a new delay-dependent sta- matrix inequalities (LMIs). A numerical example is given to s of time-varying interval and the effectiveness of the present her related problems such as the H∞ control and the robust