Finite-time synchronization of quaternion-valued neural networks with delays: A switching control method without decomposition

Stability and Synchronization of Delayed Quaternion-Valued Neural Networks under Multi-Disturbances

“…Only a few studies have simultaneously investigated the stability and synchronization of QVNNs. (5) Based on certain important conclusions on stability and synchronization reported in the literature [6,[8][9][10][11][12][13][14][15][16][17][18][19][21][22][23][24][25][27][28][29]31], examples are provided to validate the obtained results. However, no examples are provided to demonstrate the use of QVNNs.…”

“…Currently, most research results [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][53][54][55] on synchronization control are primarily applicable to NNs in the real number domain. However, research [6][7][8][14][15][16][17][18][19][20][27][28][29] on the synchronization control of NNs in the quaternion domain is scarce. Studies [8,14,27,56] have only considered impulsive disturbances when analyzing the synchronization of QVNNs.…”

“…Studies [8,14,27,56] have only considered impulsive disturbances when analyzing the synchronization of QVNNs. Other related studies [15][16][17][18][19][20]28,29] have not considered the influence of uncertain interference factors on synchronization control.…”

“…However, decomposable quaternion activation functions are rare, and the assumptions associated with decomposable activation functions are strict. (3) The scalar Lyapunov function method is the most commonly used method for investigating the stability and synchronization of NNs [6][7][8]10,11,[13][14][15][16][17][18][19]57]. Compared with vector Lyapunov functions, scalar Lyapunov functions are difficult to construct using this method.…”

Synchronization control of quaternion‐valued inertial memristor‐based neural networks via adaptive method

“…The QVNNs have a significant advantage over real-valued NNs and complex-valued NNs when coping with high-dimensional data. Recently, the dynamical property of QVNNs has become a hot topic [15][16][17][18][19][20][21][22][23]; many interesting results such as stability, synchronization, and state estimation of QVNNs are considered in these papers. In [17], to realize the application in associate memory, the multistability of QVNNs is discussed via quaternion LMI and inequality techniques.…”