New results on delay-dependent stability for nonlinear systems with two additive time-varying delays

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. (C) 2020 European Control Association. Published by Elsevier Ltd. All rights reserved.