Dissipativity and passivity analysis for discrete-time complex-valued neural networks with time-varying delay

• Main Authors: G. Nagamani, S. Ramasamy
• Format: Article
• Language: English
• Published: Taylor & Francis Group 2015-12-01
• Series: Cogent Mathematics
• Subjects: complex-valued neural networks; dissipativity; Lyapunov–Krasovskii functional; linear matrix inequalities(LMIs); time-varying delay
• Online Access: http://dx.doi.org/10.1080/23311835.2015.1048580

In this paper, we consider the problem of dissipativity and passivity analysis for complex-valued discrete-time neural networks with time-varying delays. The neural network under consideration is subject to time-varying. Based on an appropriate Lyapunov–Krasovskii functional and by using the latest free-weighting matrix method, a sufficient condition is established to ensure that the neural networks under consideration is strictly $ (\mathcal Q , \mathcal S , \mathcal R ) $-dissipative. The derived conditions are presented in terms of linear matrix inequalities. A numerical example is presented to illustrate the effectiveness of the proposed results.