Robust synchronization of dynamical network with impulsive disturbances and uncertain parameters

Global exponential stability of antiperiodic solutions for impulsive discrete‐time Markovian jumping stochastic BAM neural networks with additive time‐varying delays and leakage delay

“…For instance, during the implementation of electronic networks, when a stimulus from the body or the external environment is received by receptors, the electrical impulses will be conveyed to the neural net, and an impulsive phenomenon, which is called impulsive perturbations arise naturally. There are many results on DNNs with impulsive perturbations . Cao et al provided some sufficient criteria to ascertain the global asymptotic stability and input‐to‐state stability of impulsive stochastic differential systems .…”

“…Cao et al provided some sufficient criteria to ascertain the global asymptotic stability and input‐to‐state stability of impulsive stochastic differential systems . In addition, the robust synchronization of impulsive dynamical network with uncertain parameters was also discussed in the work of Zheng and Cao …”

Distributed adaptive control of pinning synchronization in complex dynamical networks with non-delayed and delayed coupling

“…Synchronization, which is one of numerous dynamical behaviors for complex networks, has attracted more and more attentions from researchers in different discipline. Since the groundbreaking work [4] of Pecora and Carroll was published, a great deal of research results on chaos synchronization and control have been reported [5][6][7][8][9][10][11][12]. Many kinds of synchronization protocols have been proposed, such as complete synchronization [13], projective synchronization [14], generalized synchronization [15], lag synchronization [16,17] and so on.…”

Asymptotical stability for 2-D stochastic coupled FMII models on networks

“…From a system-theoretic point of view, a CSN can be viewed as a large-scale system with special interconnections among its dynamical agents [18,21]. The stability problem of the CSNs has been extensively studied recently, and many interesting results have been established, see [22][23][24][25][26][27] and references therein. They have considered stability for CSNs and obtained some sufficient conditions for global stability without discussing the stochastic effects.…”

“…Due to the ubiquity of stochastic perturbations, it is clearly undesirable for the study of synchronization and stability of CSNs with stochastic perturbation to be ignored [26][27][28][29][30]. Based on a Lyapunov-Krasovskii functional and the stochastic stability analysis theory, Yang and Cao [26] designed two kinds of adaptive pinning controllers to synchronize complex networks with non-delayed and delayed couplings and vector-form stochastic perturbations.…”