Abstract
In this paper, the finite-time bipartite consensus (FTBC) problem is investigated for the multi-agent system (MAS) with detail balanced structure. To realize FTBC of MAS, a unified protocol framework is developed. Some criteria are established for realizing FTBC. It is worth noticing that estimations of settling time can be given in form of mathematical expression. The unified framework can bring in various protocols by choosing different parameters, which extends previous results. Finally, two numerical examples are provided to illustrate the effectiveness and superiority of corresponding theoretical results.
Highlights
Coordination control of multiagent system (MAS) has been a focus in many disciplines in past decades
Coordination control of MAS has been a focus in many disciplines in past decades
Consider the MAS consists of N agents, and the dynamics of i-th agent is described as follows
Summary
Coordination control of MAS has been a focus in many disciplines in past decades. The reason is that MAS has been applied into many practical applications. There are cooperatives and antagonism simultaneously in practical applications, such as twoparty political systems, trust networks, and so on To deal with this kind of network consensus problems, lots of works [13]–[28] focused on consensus problem of MAS including antagonistic interactions, which are said to be bipartite consensus. Such phenomena can be characterized by a signed graph whose edge weights can be both positive and negative, which denotes that cooperative and antagonism, respectively. Bipartite consensus (BC) implies that the final states are the same in modulus but not sign (direction)
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