A new delay-independent condition for global robust stability of neural networks with time delays

A Nonpenalty Neurodynamic Model for Complex-Variable Optimization

“…With the improvement of complex-variable dynamic system theories including asymptotic stability [19,20], exponential stability [21,22], robust stability [23,24], multistability [25,26], finite-time stability [27], periodicity [28], synchronization [29], and dissipation [30], complex-variable optimization problems were also gradually studied. Zhang et al [31] proposed a complex-variable model to solve the convex problem with equality constraints.…”

ψ-type stability of reaction–diffusion neural networks with time-varying discrete delays and bounded distributed delays

“…As a matter of fact, these applications are mainly dependent upon the dynamical behaviors of NNs. Especially, as one of the important dynamical properties, stability of NNs has been widely studied [9][10][11][12][13][14][15][16][17][18][19]. In [12], several new conditions for the exponential stability of delayed second-order memristive NNs were obtained.…”

“…For instance, in order to solve optimization problems by using NNs, it is necessary that each trajectory of the NNs converges to a unique equilibrium point, that is, the NNs are stable. Hence, many researchers have devoted themselves to studying the stability of NNs and obtained numerous results, see[9][10][11][12][13][14][15][16][17][18][19] for instances and the references therein. It is universally known that stability and convergence are prior conditions for theoretical analysis and design.…”

Dynamics of Uncertain Discrete-Time Neural Network with Delay and Impulses

“…Generally speaking, there always exist different dynamic properties between continuous-time neural networks and discrete-time neural networks. And results about the discrete-time neural networks are still few [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32].…”

“…And some conditions for robust stability of discrete-time uncertain neural networks with leakage time-varying delay were obtained in [31]. In [32], a new delay-independent condition for global robust stability of neural networks with time delays was given. In [18], although exponential stability for discrete-time impulsive delay neural networks with and without uncertainty was investigated by using Lyapunov functionals, the results were complicated.…”