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In this paper, we study cooperative robust output regulation problems for a directed dynamical network of diffusively interconnected Lur'e systems that consist of a nominal linear dynamics with an unknown static nonlinearity around it. In the present paper we assume that the nominal linear part of each agent is identical, but the nonlinearities are allowed to be different for distinct agents. In this...
Whereas synchronization (consensus, agreement) in linear networks has been thoroughly studied in recent years up to certain exhaustiveness, reaching a synchrony among general nonlinear agents still remains a hard open problems. In this paper, we propose a general criteria of synchronization in undirected networks with nonlinear nodes, based on the idea of incremental dissipativity. We show that our...
In this paper we deal with robust synchronization problems for directed Lur'e networks subject to incrementally passive nonlinearities and incrementally sector bounded non-linearities, respectively. By making use of general algebraic connectivities of strongly connected graphs and subgraphs, sufficient synchronization conditions are obtained for diffusively interconnected identical Lur'e systems on...
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