New results for uncertain switched neural networks with mixed delays using hybrid division method

Abstract

Abstract This paper addresses the problem of stability analysis for uncertain switched neural networks with mixed time-varying delays resorting to a novel delay division method. Firstly, based on the theory of arithmetic and geometric sequence, a hybrid division method is proposed to partition the delay interval into multiple subintervals with equal or unequal lengths. Secondly, a newly modified Lyapunov–Krasovskii function (LKF) including triple and quadruple integrals is established by considering the information of every subinterval. Thirdly, to deal with the derivative of LKF, the Wirtinger-based integral inequality and Peng-park’s integral inequality are introduced. Finally, less conservative LMIs-based stability criteria are presented. Two numerical examples are provided to illustrate the feasibility and effectiveness of the proposed results.