Synchronization and state estimation for singular complex dynamical networks with time-varying delays

Adaptive estimation for delayed neural networks with Markovian jumping parameters

“…[9][10][11][12][13][14]), such as missile defence system, the Kalman filter, nonlinear systems, etc. In [9], Lyapunov-based adaptive state estimation of continuous-time and discrete-time nonlinear stochastic systems is considered, the adaptive state and parameter estimators with ultimately exponentially bounded estimator errors is presented by using stochastic counterparts of Lyapunov stability theory, and sufficient conditions are given in terms of the solvability of LMIs.…”

Synchronization of continuous-time Markovian jumping singular complex networks with mixed mode-dependent time delays

“…For the sake of simplification, we consider a 5-node singular complex neural networks (1) with the following parameters: Remark 8. For the case of constant delay, that is to say _ dðtÞ ¼ 0, by applying the result in [4,6] to this system, when coupled strength c¼ 0.1, the maximum allowable delay bound d m ¼ 2:173. But, by using Theorem 1 in this paper, we can obtain the larger delay bound d m ¼ 3:472.…”

“…Definition 1 (Li et al [4]). The global asymptotically synchronization in mean square of the singular system (1) is said to be achieved, if for all time-varying delays, the following condition holds:…”

“…It is widely believed that there exist many benefits of having synchronization in many fields, such as secure communication, modelling brain activity and pattern recognition phenomena [1][2][3]. In particular, one of the interesting phenomena in complex networks is the synchronization, which is an important research subject with the rapidly increasing research, and there are a lot of results [4][5][6].…”

Synchronization for non-dissipatively coupled time-varying complex dynamical networks with delayed coupling nodes

“…Moreover, the time delays of different nodes should be different. Although [15][16][17][18] developed several synchronization criteria for dissipatively coupled networks with time-varying delays, the time delay and the state dimension of each node in them were same.…”