2019
DOI: 10.1016/j.neucom.2018.12.064
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Existence and global exponential stability of anti-periodic solution for Clifford-valued inertial Cohen–Grossberg neural networks with delays

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Cited by 66 publications
(47 citation statements)
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“…Clifford-valued neural networks generalize real-valued, complex-valued, quaternion-valued, and octonion-valued neural networks and so on. Since the Clifford-valued neural networks can use multistate activation functions to process multilevel information and require much fewer connection weight parameters of the networks, they have recently been an active research area [2][3][4][5]. Due to the noncommutativity of Clifford numbers' multiplication, it brings great difficulties to the research of Clifford-valued neural networks.…”
Section: Introductionmentioning
confidence: 99%
“…Clifford-valued neural networks generalize real-valued, complex-valued, quaternion-valued, and octonion-valued neural networks and so on. Since the Clifford-valued neural networks can use multistate activation functions to process multilevel information and require much fewer connection weight parameters of the networks, they have recently been an active research area [2][3][4][5]. Due to the noncommutativity of Clifford numbers' multiplication, it brings great difficulties to the research of Clifford-valued neural networks.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, the current results on the dynamics of Clifford-valued neural networks are still very rare. At present, only a few papers have been published on the dynamics of Clifford-valued neural networks [18][19][20][21][22]. It is worth mentioning that the results of these mentioned papers are obtained by decomposing Clifford-valued neural networks into real-valued networks.…”
Section: Introductionmentioning
confidence: 99%
“…Besides, among all dynamical behaviors of neural networks, the existence and stability of anti-periodic solutions play a key role in designing and implementation of neural networks and it has been attracting the interest of many researchers, we refer to [35][36][37][38] and references therein. However, there are only few papers that consider the problems of antiperiodic solutions for QVNNs [19][20][21].…”
Section: Introductionmentioning
confidence: 99%