Periodic oscillation for a Hopfield neural networks with neutral delays

Stochastic stability analysis for a neutral-type neural networks with Markovian jumping parameters

“…The authors ( [5,12]) investigated the following neutral-type neural systems: (x i ) (t) = −a i (t)x i (t) + n j=1 [b ij (t)f j (t, x j (t)) + d ij (t)g j (t, x j (t − τ ij (t)))] + I i (t), x i (t) = φ i (t), t ∈ [−τ, 0], i = 1, 2, · · · , n, and y (t) = −Ay(t) + Bg(y(t)) + Cg(y(t − τ(t))) + Dy (t − h(t)), t = t k , ∆y(t) = I k (y(t)), t = t k , y(t + 0 + s) = φ(s), s ∈ [t 0 − ρ, t 0 ], k ∈ N. More detailed results on neural networks could be found in [11,14,17] and the references therein.…”

“…3) is changed into a non-neutral-type discrete neural networks which has been extensively studied, see, e.g., [1,3,5,9,10,14,16,18].…”

Stability analysis for neutral-type impulsive neural networks with delays

“…NFDEs are not only an extension of functional differential equations, but also provide good models in many fields including biology, electronics, mechanics and economics. In practice, a large class of electrical networks containing lossless transmission lines such as automatic control, high speed computers, robotics and etc., these systems can be well described by neutral-type delayed differential equations, see e. g. [7,22,29,30]. Particularly, we note that the time-delays occur not only in the system states (or outputs) but also in the derivatives of system states in engineering systems DOI: 10.14736/kyb-2017-3-0513 [27].…”

“…The neural network model (2.1) shows the neutral character by the D operator, which is different from other papers. For example, in [7] and [31], the authors studied the following neutral type neural system respectively,…”

Globally exponential stability of periodic solutions for impulsive neutral-type neural networks with delays

“…DNNs of neutral type are new and more general than DNNs. So far, there are only a few papers that have taken neutral-type phenomenon into account in DNNs; see, for example [8][9][10][11][12][13][14][15][16][17].…”