Stability analysis of periodic solutions of the neutral-type neural networks with impulses and time-varying delays
Filomat, Tome 37 (2023) no. 18, p. 6021
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This paper is concerned with a class of neutral-type neural networks with impulses and delays. By using continuation theorem due to Mawhin and constructing the appropriate Lyapunov-Krasovskii functional, several new sufficient conditions ensuring the existence and global exponential stability of the periodic solution are obtained. Moreover, a numerical example is provided to illustrate the main results. Our results can extend and improve some earlier publications.
Classification :
34C37, 34A60, 93D23
Keywords: Neutral-type neural networks, Continuation theorem, Global exponential stability, Differential equations, Impulses, Delay
Keywords: Neutral-type neural networks, Continuation theorem, Global exponential stability, Differential equations, Impulses, Delay
Hongjun Qiu; Yanhong Zhang; Fanchao Kong. Stability analysis of periodic solutions of the neutral-type neural networks with impulses and time-varying delays. Filomat, Tome 37 (2023) no. 18, p. 6021 . doi: 10.2298/FIL2318021Q
@article{10_2298_FIL2318021Q,
author = {Hongjun Qiu and Yanhong Zhang and Fanchao Kong},
title = {Stability analysis of periodic solutions of the neutral-type neural networks with impulses and time-varying delays},
journal = {Filomat},
pages = {6021 },
year = {2023},
volume = {37},
number = {18},
doi = {10.2298/FIL2318021Q},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2318021Q/}
}
TY - JOUR AU - Hongjun Qiu AU - Yanhong Zhang AU - Fanchao Kong TI - Stability analysis of periodic solutions of the neutral-type neural networks with impulses and time-varying delays JO - Filomat PY - 2023 SP - 6021 VL - 37 IS - 18 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2318021Q/ DO - 10.2298/FIL2318021Q LA - en ID - 10_2298_FIL2318021Q ER -
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