This article investigates global exponential synchronization almost surely (GES a.s.) of complex networks (CNs) with node delay and switching topology. By introducing transition probability (TP) and mode-dependent average dwell time (MDADT) to the switching signal, the considered model is more practical than the systems with average dwell-time (ADT) switching. Controllers with both impulsive effects and actuator fault feedback are considered. New analytical techniques are developed to obtain sufficient conditions to guarantee the GES a.s. Different from the existing results on the synchronization of switched systems, our results show that the GES a.s. can still be achieved even in the case that the upper bound of the dwell time (DT) of uncontrolled nodes is very large and the lower bound of the DT of controlled nodes is very small. Numerical examples demonstrate the effectiveness and the merits of the theoretical analysis.

This article considers global exponential synchronization almost surely (GES a.s.) for a class of switched discrete-time neural networks (DTNNs). The considered system switches from one mode to another according to transition probability (TP) and evolves with mode-dependent average dwell time (MDADT), i.e., TP-based MDADT switching, which is more practical than classical average dwell time (ADT) switching. The logarithmic quantization technique is utilized to design mode-dependent quantized output controllers (QOCs). Noticing that external perturbations are unavoidable, actuator fault (AF) is also considered. New Lyapunov-Krasovskii functionals and analytical techniques are developed to obtain sufficient conditions to guarantee the GES a.s. It is discovered that the TP matrix plays an important role in achieving the GES a.s., the upper bound of the dwell time (DT) of unsynchronized subsystems can be very large, and the lower bound of the DT of synchronized subsystems can be very small. An algorithm is given to design the control gains, and an optimal algorithm is provided for reducing conservatism of the given results. Numerical examples demonstrate the effectiveness and the merits of the theoretical analysis.

In this paper, formation keeping control of unmanned aerial vehicles (UAVs) based on multi-agent system consensus is studied. Firstly, a leader–following model based multiple unmanned aerial vehicles’ (multi–UAVs’) formation system is proposed. In which, every UAV has a heading keep autopilot as standard flight controller, and the heading control signal is transmitted by a nonlinear feedback controller with time delays. Secondly, some criteria of stability and Hopf bifurcation conditions for the equilibrium point of the leader UAV are established by using the Routh–Hurwitz criterion. Then, the consensus protocol is designed. A model prediction controller is introduced to make followers predict the leader’s status and maintain a relative position in the formation, and eventually reach a consensus with the leader. Finally, some simulation examples are given to verify the correctness of the conclusions.