Graph-Theoretic Method on Topology Identification of Stochastic Multi-weighted Complex Networks with Time-Varying Delayed Coupling Based on Adaptive Synchronization

Graph‐theoretic approach to finite‐time synchronization and topology identification of delayed multi‐group models with stochastic perturbation and multiple dispersal

“…Remark In the previous researches, some results were obtained about topology identification of many complex networks by the graph‐theoretic approach [43, 44]. However, they did not consider topology identification in finite time.…”

Identifying Partial Topological Structures of Stochastic Multi-Group Models with Multiple Dispersals via Graph-Theoretic Method

“…Hence, it is difficult to construct a global Lyapunov function directly for multi-group models. Motivated by [20,23,24], we construct a global Lyapunov function by the weighted summation of vertex Lyapunov functions…”

Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization

“…A traffic network includes the transportation among cars, planes and bikes. As we all know, in recent years, though some articles contribute to researching the whole topological structures of multi-weighted complex network [20,31], there are only few results about partial topology identification of multi-weighted complex networks [32]. However, in [32], the model is linearly coupled.…”

“…As we all know, in recent years, though some articles contribute to researching the whole topological structures of multi-weighted complex network [20,31], there are only few results about partial topology identification of multi-weighted complex networks [32]. However, in [32], the model is linearly coupled. Therefore, it is of great significance to research partial topology identification of more general multi-weighted complex networks.…”

“…In fact, multi-weighted complex networks are inevitably affected by various types of environmental noise [33][34][35][36][37]. However, it should be noted that there are few papers about partial topology identification [32] of stochastic multi-weighted complex networks. Hence, to fill the gap, this paper attempts to identify partial topological structures of multi-weighted complex networks with stochastic disturbance and nonlinear couplings.…”