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

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.