Stability Criteria for Neural Networks with Two Additive Time-varying Delay Components

This paper is concerned with the stability problem
with two additive time-varying delay components. By choosing one
augmented Lyapunov-Krasovskii functional, using some new zero
equalities, and combining linear matrix inequalities (LMI)
techniques, two new sufficient criteria ensuring the global stability
asymptotic stability of DNNs is obtained. These stability criteria are
present in terms of linear matrix inequalities and can be easily
checked. Finally, some examples are showed to demonstrate the
effectiveness and less conservatism of the proposed method.

• Qingqing Wang
• Shouming Zhong

• Neural networks
• Globally asymptotic stability
• LMI approach
• Additive time-varying delays.

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