Zheng, Tang; Xi, Jianxiang; Yuan, Mei; Liu, Guangbin Guaranteed-performance consensus design for Lipschitz nonlinear multiagent systems with jointly connected topologies. (English) Zbl 1426.93309 Int. J. Robust Nonlinear Control 29, No. 11, 3627-3649 (2019). Summary: Guaranteed-performance consensualization problems for both leaderless and leader-following multiagent systems with jointly connected topologies and Lipschitz nonlinear dynamics are investigated. To achieve the guaranteed-performance consensus, the control protocols and quadratic performance functions based on state errors are proposed. The state error method is utilized to deal with the guaranteed-performance consensualization problems for both leaderless and leader-following cases. Then, the Lipschitz nonlinear problems are solved by using the Lipschitz condition. Moreover, guaranteed-performance consensualization criteria for both leaderless and leader-following cases with jointly connected topologies are presented in terms of linear matrix inequalities. Meanwhile, the guaranteed-performance costs with the structure properties of both leaderless and leader-following structures are determined. Finally, two numerical simulations are presented to verify the effectiveness of the theoretical results. Cited in 3 Documents MSC: 93D99 Stability of control systems 93A14 Decentralized systems 68T42 Agent technology and artificial intelligence 93A13 Hierarchical systems 93C10 Nonlinear systems in control theory Keywords:guaranteed-performance consensus; jointly connected topology; Lipschitz nonlinearity; multiagent system PDFBibTeX XMLCite \textit{T. Zheng} et al., Int. J. Robust Nonlinear Control 29, No. 11, 3627--3649 (2019; Zbl 1426.93309) Full Text: DOI