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In this paper, we consider the issue of stability criteria for neural networks systems with variable delays. By introducing two triple integral terms and a new augmented term with more delay information to the Lyapunov-Krasovskii functional(LKF), some less conservative stability criteria are proposed. Finally, the effectiveness of the proposed results are demonstrated by two numerical examples.
In this paper, based on the discrete Wirtinger inequality, the problem of summation inequality is investigated. Some new summation inequalities are established, which extend the discrete Jensen inequality effectively. As an application of the summation inequalities, a novel sufficient criterion on asymptotical stability of discrete systems with variable delay is proposed. A numerical example is provided...
In this paper, we consider delayed bidirectional associative memory (BAM) neural networks (NNs) with Lipschitz continuous activation functions. By applying Young's inequality and Holder's inequality techniques together with the properties of monotonic continuous functions, global exponential stability criteria are established for BAM NNs with time delays. This is done through the use of a new Lyapunov...
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