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In this paper, we investigate the group consensus for leaderless multi-agent systems. The group consensus protocol based on the position information from neighboring agents is designed. The network may be subjected to frequent cyber-attacks, which is close to an actual case. The cyber-attacks are assumed to be recoverable. By utilizing algebraic graph theory, linear matrix inequality (LMI) and Lyapunov stability theory, the multi-agent systems can achieve group consensus under the proposed control protocol. The sufficient conditions of the group consensus for the multi-agent networks subjected to cyber-attacks are given. Furthermore, the results are extended to the consensus issue of multiple subgroups with cyber-attacks. Numerical simulations are performed to demonstrate the effectiveness of the theoretical results.

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The aim of super resolution is to get high resolution (HR) images/videos from low-resolution (LR) images/videos. The obtained HR images/videos are expected to be clear and have less artifacts. Projection Onto Convex Sets (POCS) in the space domain is a super resolution method. It results in edge oscillation and produces many artifacts. This paper introduces a POCS method in both the space and the frequency domain. Firstly, a frequency domain POCS method is proposed. Then it is combined with the space POCS and the space-frequency POCS is obtained. Compared with the common bilinear interpolation method and the existing POCS method in the space domain, our method may decrease the edge oscillation phenomena and raise the Peak Signal to Noise Ratio (PSNR).