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\(H_{\infty}\) consensus of second-order multi-agent systems with asymmetric delays. (English) Zbl 1252.93049

Summary: This paper is concerned with the problem of consensus in the \(H_{\infty }\) sense for second-order continuous-time multi-agent systems with multiple asymmetric time-varying delays. By using a model transformation approach and matrix theory, we establish several conditions in terms of linear matrix inequalities such that consensus of multi-agent systems can be achieved in the \(H_{\infty }\) sense. The feasibility of the consensus conditions is also analyzed. As an application, we consider the case of intermittent measurement between agents. Numerical examples are presented to illustrate the theoretical results which can be applied to the case of negative information weights.

MSC:

93B36 \(H^\infty\)-control
93A14 Decentralized systems
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