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Traditional nonlinear constraints, such as Lipschitz and one-sided Lipschitz, cannot describe most nonlinear functions. The incremental quadratic constraints and switching topologies are considered to extend the application range and practical significance of the existing consensus control protocol. By investigating the topology having a directed spanning tree and constructing a proper Lyapunov function, this article gives sufficient conditions for the consensus problem, including the dwell time by a threshold value. Then, a design method for the static output feedback gain matrix is deduced and an algorithm for achieving consensus is presented. Finally, two simulation examples are used to verify the validity as well as the superiority of the designed protocol. It is the first piece of work to study the consensus problem of multi-agent with incremental quadratic constraints under switching topologies.<\/jats:p>","DOI":"10.1177\/01423312221096683","type":"journal-article","created":{"date-parts":[[2022,5,18]],"date-time":"2022-05-18T19:00:40Z","timestamp":1652900440000},"page":"2953-2966","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Consensus based on output for nonlinear multi-agent systems with switching topologies"],"prefix":"10.1177","volume":"44","author":[{"given":"Haixiang","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Soochow University, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chong","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Mechanical and Electrical Engineering, Soochow University, 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