Sign-Consensus of Linear Multiagent Systems under a State Observer Protocol
Wei-Lu Diao and
Cui-Qin Ma
Complexity, 2019, vol. 2019, 1-6
Abstract:
The sign-consensus problem for linear time-invariant systems under signed digraph is considered. The information of the agents’ states is reconstructed, and then, a state observer-type sign-consensus protocol is proposed, whose performance is analyzed using matrix analysis and ordinary differential equation theory. Sufficient conditions for ensuring sign-consensus are given. It is proven that if the adjacency matrix of the signed digraph has strong Perron–Frobenius property or is eventually positive, sign-consensus can be achieved under the proposed protocol. In particular, conventional consensus is a special case of sign-consensus under mild conditions.
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:3010465
DOI: 10.1155/2019/3010465
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