Quasi-Bipartite Consensus Control of Cooperation-Competition Multiagent Systems: When Privacy Preservation Meets Energy Harvesting Protocols

In this article, we address the quasi-bipartite consensus problem concerning a type of time-varying multiagent systems (MASs), which are subjected to energy harvesting protocols and random occurring faults. The creative aspects of this study can be emphasized as follows: first, the dynamics of the considered system are time-varying and stochastic, which is in accordance with the practical application closely. Meanwhile, a differential privacy protection mechanism is proposed, which realizes the goal of sensitive information protection via adding random noises following the Laplace probability distribution, and an energy collecting procedure is proposed to gather external energy for information exchange. Furthermore, the ultimate control objective is to implement an appropriate quasi-bipartite consensus controller to ensure that the probability of the state/output error residing within an allowable range exceed a fixed scalar. By means of recursive linear matrix inequalities (RLMIs) and the matrix analysis theory, sufficient conditions for guaranteeing quasi-bipartite consensus are derived, and an optimal constraint set is obtained by addressing a convex minimization problem. Finally, the availability of the employed approach are upheld by two illustrative examples.