具有时变时延与状态依赖切换的分数阶 Cohen-Grossberg 神经网络的多稳定性

Abstract

Abstract:

This paper primarily investigates the coexistence and stability of multiple equilibrium points for fractional-order Cohen-Grossberg neural networks (SFCGNNs) with time-varying delays and state-dependent switching. By employing the state space partition method, the existence of $5^n$ equilibrium points for SFCGNNs is established. To demonstrate the asymptotic stability of $3^n$ equilibrium points among them, the Lyapunov method is adopted. Additionally, sufficient conditions are derived to confirm the instability of the remaining equilibrium points. Finally, two numerical examples are provided to validate the effectiveness of the proposed results.

Key words: multistability, fractional-order Cohen-Grossberg neural networks, time-varying delays, state-dependent switching

CLC Number:

O175

Hongxun Dong, Liguang Wan, Ailong Wu. Multistability of Fractional-Order Cohen-Grossberg Neural Networks with Time-Varying Delays and State-Dependent Switching[J].Acta mathematica scientia,Series A, 2026, 46(6): 2418-2432.

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References 36

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Multistability of Fractional-Order Cohen-Grossberg Neural Networks with Time-Varying Delays and State-Dependent Switching

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