Further stability analysis for delayed complex-valued recurrent neural networks

Global Mittag–Leffler Stability and Stabilization Analysis of Fractional-Order Quaternion-Valued Memristive Neural Networks

“…In artificial intelligence science, neural networks (NNs) have been considered as the most important nonlinear model for their successful applications in signal processing, pattern recognition, optimization, and other engineering fields [13,14]. On the other side, real-valued neural networks (RVNNs) and complex-valued neural networks (CVNNs) have been successfully applied in modeling, control, associative memory, and image recognition [15,16].…”

State estimation for complex-valued memristive neural networks with time-varying delays

“…Moreover, they can be used to solve many complicated real-life problems that the real-valued model cannot do, such as the speed and direction in wind profile model [31]. So far, effective achievements on the dynamical behaviors of complex-valued neural networks have emerged in large numbers [32][33][34][35][36][37][38][39]. Moreover, for memristor-based complex-valued neural networks, abundant relevant results have also been achieved [40][41][42][43][44][45][46].…”

Existence, uniqueness and global asymptotic stability for a class of complex-valued neutral-type neural networks with time delays

“…Remark 4.4. Due to the existence of neutral term, the LMI-based conditions in Theorem 3.1 and Theorem 3.4 are different from those in [6,14,45,46]. Thus, for the parameters given in Examples 4.1 and 4.2, the global asymptotic stability of system (1) cannot be verified by the results in [6,14,45,46].…”

“…As an extension of real-valued neural networks, the complex-valued neural networks (CVNNs) have received increasing interests [3,4,6,7,10,11,12,13,14,16,17,26,27,28,29,33,37,38,43,45,46,47,48]. CVNNs, in which the states, connection weights, or activation functions are complex-valued, have more complicated properties than the real-valued NNs and have shown their advantages in real applications, e. g., solving DOI: 10.14736/kyb-2018-4-0844 the XOR problem and the detection of symmetry problem [7,10,17,26,28,43].…”