The problem of stability analysis for nonlinear systems with two additive time-varying delays is revisited. New stability criteria are acquired by utilizing Lyapunov-Krasovskii methodology with abundant time-varying delay information. Firstly, four augmented single integral terms are introduced to obtain less conservative stability conditions. Secondly, single- and double- integral terms are developed through employing integral intervals decomposition approach and the bounds of them are estimated combined with more accurate integral inequalities. Thirdly, a new nonlinear optimization technology is established to deal with the problem of nonlinear time-delay inequalities in stability criterion. Finally, an application example for the load frequency control (LFC) scheme in power systems and a typical numerical example are provided to show the advantages and the validity of the proposed approach.

讨论了具有两个附加时变时滞的非线性系统的稳定性分析问题。利用具有丰富时变延迟信息的Lyapunov-Krasovskii方法获得了新的稳定性标准。首先，引入四个增广的单积分项以获得较少的保守稳定性条件。其次，采用积分区间分解方法发展了单积分项和双积分项，并结合更精确的积分不等式对它们的边界进行了估计。第三，建立了一种新的非线性优化技术，以解决稳定性准则中的非线性时滞不等式问题。最后，