CAJ | 학술논문

讨论了具有区间时变时滞及非线性扰动中立系统的稳定性判据问题.基于Lyapunov-Krasovskii泛函方法和线性矩阵不等式技术,并结合新的积分等式处理交叉乘积项定界问题,得到了新的时滞相关渐近稳定判据.时滞相关渐近稳定判据用线性矩阵不等式的形武给出,与已有的方法相比,其优点在于更小的保守性.数值计算表明了结果的有效性和优越性.
토론료구유구간시변시체급비선성우동중립계통적은정성판거문제.기우Lyapunov-Krasovskii범함방법화선성구진불등식기술,병결합신적적분등식처리교차승적항정계문제,득도료신적시체상관점근은정판거.시체상관점근은정판거용선성구진불등식적형무급출,여이유적방법상비,기우점재우경소적보수성.수치계산표명료결과적유효성화우월성.
The delay-dependent robust stability criteria for neutral systems with mixed time-varying interval delays and nonlinear parameter perturbations are discussed. Based on the Lyapunov-Krasovskii functional approach and linear matrix inequality technology, some improved delay-dependent stability conditions are proposed by utilizing new integral equalities to deal with the bounding for the cross term. The criteria are derived in terms of linear matrix inequalities (LMIs).Compared to the existing criteria, the merit of the proposed conditions is less conservative. Numerical examples are given to illustrate the improvement on the conservatism of the delay bound over some reported results in the literatures.