Stochastic Consensus of a Class of Continuous-Time Multi-Agent Systems with a Leading Agent
Author(s) -
Qiuguo Zhu,
Jun Wu,
Rong Xiong
Publication year - 2016
Publication title -
international journal of advanced robotic systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 46
eISSN - 1729-8814
pISSN - 1729-8806
DOI - 10.5772/62444
Subject(s) - computer science , multi agent system , class (philosophy) , consensus , nonlinear system , mathematical optimization , coupling (piping) , markov process , markov chain , stochastic process , homogeneous , topology (electrical circuits) , mathematics , artificial intelligence , machine learning , mechanical engineering , statistics , physics , quantum mechanics , combinatorics , engineering
A stochastic consensus problem is studied for a class of continuous-time multi-agent systems with a leading agent. The systems have a switching coupling topology driven by a homogeneous Markov process. The unknown coupling functions among agents are nonlinear or even discontinuous. Under some constraints on the unknown coupling functions, a sufficient condition is provided to guarantee stochastic consensus. The condition is in the form of a linear matrix inequality, which is computationally convenient
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