Exponential input-to-state stability of quaternion-valued neural networks with time delay

DOI10.1016/j.amc.2019.04.045zbMath1428.92014OpenAlexW2944535583WikidataQ115598146 ScholiaQ115598146MaRDI QIDQ2279375

Xingnan Qi, Cao, Jinde, Hai-Bo Bao

Publication date: 12 December 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.04.045

zbMATH Keywords

linear matrix inequalityexponential input-to-state stabilityquaternion-valued neural network

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20)

Related Items (17)

Robust exponential stability of fractional-order coupled quaternion-valued neural networks with parametric uncertainties and impulsive effects ⋮ Finite-time stabilization for delayed quaternion-valued coupled neural networks with saturated impulse ⋮ Finite-time synchronization of complex dynamical networks under delayed impulsive effects ⋮ Stability and stabilization of quaternion-valued neural networks with uncertain time-delayed impulses: direct quaternion method ⋮ Anti-periodic behavior for quaternion-valued delayed cellular neural networks ⋮ Global exponential stability of Clifford-valued neural networks with time-varying delays and impulsive effects ⋮ Mean-square exponential input-to-state stability of stochastic quaternion-valued neural networks with time-varying delays ⋮ Controllability and observability of linear quaternion-valued systems ⋮ Mittag-Leffler stability of fractional-order quaternion-valued memristive neural networks with generalized piecewise constant argument ⋮ Finite-time synchronization for fractional-order quaternion-valued coupled neural networks with saturated impulse ⋮ Fixed/preassigned-time synchronization of quaternion-valued neural networks involving delays and discontinuous activations: a direct approach ⋮ Input-to-state stability of impulsive reaction-diffusion neural networks with infinite distributed delays ⋮ Finite-time stabilization and destabilization analysis of quaternion-valued neural networks with discrete delays ⋮ Global Mittag-Leffler synchronization of fractional-order delayed quaternion-valued neural networks: direct quaternion approach ⋮ Finite-time synchronization of delayed fractional-order quaternion-valued memristor-based neural networks ⋮ Stochastic stability criteria and event-triggered control of delayed Mar\textit{kovian jump} quaternion-valued neural networks ⋮ Stability analysis of hybrid stochastic delayed Cohen-Grossberg neural networks with Lévy noise and Markov switching

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