Abstract
This paper investigates the problem of delay-dependent dissipativity for a class of Markovian jump neural networks with a time-varying delay. A generalized integral inequality including some existing integral inequalities as special cases is established. An improved mode-dependent Lyapunov–Krasovskii functional (LKF) is constructed. Then, the new integral inequality is used to estimate the derivative of the LKF and a less conservative dissipativity criterion is derived. Based on the dissipativity criterion, a novel passivity condition for delayed neural networks is obtained. Furthermore, a new stability criterion for linear delayed systems without Markovian jump parameters is also developed. Finally, four numerical examples are presented to verify the effectiveness and superiority of the proposed method.
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