Geodesic
Delay dependent complex-valued bidirectional associative memory neural networks with stochastic and impulsive effects: An exponential stability approach
Kybernetika, Tome 60 (2024) no. 3, pp. 317-356 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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This paper investigates the stability in an exponential sense of complex-valued Bidirectional Associative Memory (BAM) neural networks with time delays under the stochastic and impulsive effects. By utilizing the contracting mapping theorem, the existence and uniqueness of the equilibrium point for the proposed complex-valued neural networks are verified. Moreover, based on the Lyapunov - Krasovskii functional construction, matrix inequality techniques and stability theory, some novel time-delayed sufficient conditions are attained in linear matrix inequalities (LMIs) form, which ensure the exponential stability of the trivial solution for the addressed neural networks. Finally, to illustrate the superiority and effects of our theoretical results, two numerical examples with their simulations are provided via MATLAB LMI control toolbox.
This paper investigates the stability in an exponential sense of complex-valued Bidirectional Associative Memory (BAM) neural networks with time delays under the stochastic and impulsive effects. By utilizing the contracting mapping theorem, the existence and uniqueness of the equilibrium point for the proposed complex-valued neural networks are verified. Moreover, based on the Lyapunov - Krasovskii functional construction, matrix inequality techniques and stability theory, some novel time-delayed sufficient conditions are attained in linear matrix inequalities (LMIs) form, which ensure the exponential stability of the trivial solution for the addressed neural networks. Finally, to illustrate the superiority and effects of our theoretical results, two numerical examples with their simulations are provided via MATLAB LMI control toolbox.
DOI : 10.14736/kyb-2024-3-0317
Classification : 34Dxx, 92B20, 93Exx
Keywords: Complex-valued neural networks; Linear matrix inequality; Lyapunov–Krasovskii functional; BAM neural networks; Exponential stability; Impulsive effects; Stochastic noise; discrete delays; distributed delays; leakage delays; mixed time delays 
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     title = {Delay dependent complex-valued bidirectional associative memory neural networks with stochastic and impulsive effects: {An} exponential stability approach},
     journal = {Kybernetika},
     pages = {317--356},
     year = {2024},
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     zbl = {07893460},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2024-3-0317/}
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Maharajan, Chinnamuniyandi; Sowmiya, Chandran; Xu, Changjin. Delay dependent complex-valued bidirectional associative memory neural networks with stochastic and impulsive effects: An exponential stability approach. Kybernetika, Tome 60 (2024) no. 3, pp. 317-356. doi: 10.14736/kyb-2024-3-0317

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