Jianquan Lu, Daniel W. C. Ho, Jinde Cao, Jürgen Kurths
This brief investigates globally exponential synchronization for linearly coupled neural networks (NNs) with time-varying delay and impulsive disturbances. Since the impulsive effects discussed in this brief are regarded as disturbances, the impulses should not happen too frequently. The concept of ...
Jianquan Lu, Haitao Li, Yang Liu, Fangfei Li
This study presents a detailed survey on recent development of logical networks and its applications, including the background of logical networks, the theory of a new matrix product called semi‐tensor product (STP) of matrices, some fundamental works on logical networks, and some current research w...
Jianquan Lu, Jie Zhong, Daniel W. C. Ho, Yang Tang et al.
This paper is devoted to studying the trajectory and state controllability of Boolean control networks (BCNs) with time delay. In contrast to BCNs without time delay, the dynamics of delayed BCNs are determined by a sequence of initial states, named here trajectories. Trajectory controllability mean...
Nan Wang, Xuechen Li, Jianquan Lu, Fuad E. Alsaadi
This paper investigates the problem of globally exponential synchronization of coupled neural networks with hybrid impulses. Two new concepts on average impulsive interval and average impulsive gain are proposed to deal with the difficulties coming from hybrid impulses. By employing the Lyapunov met...
Wenying Xu, Jinde Cao, Wenwu Yu, Jianquan Lu
The leader‐following consensus of non‐linear multi‐agent systems is investigated in this study. The authors further study this problem without the assumption that the topology among followers is connected or fixed. Based on a representative general non‐linear model, they address such a leader‐follow...
Yaqi Wang, Jianquan Lu, Xiaodi Li, Jinling Liang
In this paper, the synchronization problems of an array of coupled neural networks with mixed impulses are considered. Here mixed impulses contain desynchronizing delay-free impulses, synchronizing delay-free impulses, desynchronizing delayed impulses and synchronizing delayed impulses. A novel conc...
Tao Peng, Jie Zhong, Zhengwen Tu, Jianquan Lu et al.
For a class of quaternion-valued neural networks (QVNNs) with discrete and distributed time delays, its finite-time synchronization (FTSYN) is addressed in this paper. Instead of decomposition, a direct analytical method named two-step analysis is proposed. That method can always be used to study FT...
Xing Guo, Jinling Liang, Jianquan Lu
This study deals with the bipartite consensus problem for multi‐agent systems associated with signed digraphs. For structurally balanced signed digraphs, by constructing a new class of general Laplacian matrices, it is found that all agents will converge to two values with different modulus if the s...
Jie Zhong, Daniel W. C. Ho, Jianquan Lu, Wenying Xu
In this research the output tracking problems with respect to a constant and a periodic output signal for switched Boolean networks (BNs) are studied. Based on the semi‐tensor product of matrices, an algebraic expression of switched BNs is obtained. Then, some conditions are presented to ensure outp...
Yaqi Wang, Jianquan Lu, Jungang Lou, Chengdan Ding et al.
J. Li, Jianquan Lu, Yang Liu, Jinde Cao
Optimal energy management of a power system enables the economic operation of grids. However, traditional centralized methodologies face limitations when dealing with large-scale power systems. To overcome these challenges, an optimal energy management model is developed for networked microgrids (NM...
Jie Zhong, Daniel W. C. Ho, Jianquan Lu
Boolean networks (BNs) are discrete-time systems where nodes are inter-connected (here we call such connection rule among nodes as network structure), and the dynamics of each gene node is determined by logical functions. In this paper, we propose a new approach on pinning control design for global ...
Shiyong Zhu, Jianquan Lu, Jie Zhong, Yang Liu
Observability is of biological and engineering significance for the study of large-scale Boolean networks (BNs), while sensors are commonly impossible or high-cost to be inflicted on all SVs. Taking an unobservable large-scale BNs into account, it is crucial to design an operably effective control s...
Guizhen Feng, Jinde Cao, Jianquan Lu
This paper investigates synchronization problem of nonlinearly coupled dynamical networks, and an effectively impulsive control scheme is proposed to synchronize the network onto the objective state. Based on the stability analysis of impulsive differential equations, a low‐dimensional sufficient co...
Lingzhong Zhang, Jianquan Lu, Qihua Ruan, Jungang Lou
This paper explores the impact of delays on the secure and anti-disturbance synchronization of time-delayed networks under a pinning impulsive control strategy. An exponential-type Lyapunov function and a novel impulsive delay inequality are proposed, extracting and incorporating the information of ...