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The free-weighting matrix and integral-inequality methods are widely used to derive delay-dependent criteria for the stability analysis of time-varying-delay systems because they avoid both the use of a model transformation and the technique of bounding cross terms. This technical note presents a new integral inequality, called a free-matrix-based integral inequality, that further reduces the conservativeness...
This paper considers the stability of neural networks with time-varying delays. First, a new augmented Lyapunov-Krasovskii functional (LKF) including the cross terms of variables and quadratic terms multiplied by a higher degree scalar function is constructed. Second, by proposing the property of quadratic convex function and the new bounding partitioning method of activation functions which has not...
This paper presents a new result of stability analysis for neural networks with interval time-varying delays. A less conservative stability criterion is established by constructing a new Lyapunov-Krasovskii functional and introducing some free weighting matrices. Numerical examples show that the proposed criterion is effective and is an improvement over some existing results in the literature.
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