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- W2910603391 abstract "This paper addresses the problem of global μ -stability for quaternion-valued neutral-type neural networks (QVNTNNs) with time-varying delays. First, QVNTNNs are transformed into two complex-valued systems by using a transformation to reduce the complexity of the computation generated by the non-commutativity of quaternion multiplication. A new convex inequality in a complex field is introduced. In what follows, the condition for the existence and uniqueness of the equilibrium point is primarily obtained by the homeomorphism theory. Next, the global stability conditions of the complex-valued systems are provided by constructing a novel Lyapunov–Krasovskii functional, using an integral inequality technique, and reciprocal convex combination approach. The gained global μ -stability conditions can be divided into three different kinds of stability forms by varying the positive continuous function μ ( t ) . Finally, three reliable examples and a simulation are given to display the effectiveness of the proposed methods." @default.
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- W2910603391 date "2019-01-18" @default.
- W2910603391 modified "2023-10-17" @default.
- W2910603391 title "Stability Analysis of Quaternion-Valued Neutral-Type Neural Networks with Time-Varying Delay" @default.
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- W2910603391 doi "https://doi.org/10.3390/math7010101" @default.
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