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Consensus of multiagent systems with nonlinear dynamics and time‐varying communication delays
Author(s) -
Qian Wei,
Gao Yanshan,
Wang Lei,
Fei Shumin
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4471
Subject(s) - nonlinear system , eigenvalues and eigenvectors , mathematics , multiple integral , control theory (sociology) , laplacian matrix , lyapunov function , stability (learning theory) , state (computer science) , mathematical optimization , computer science , laplace operator , mathematical analysis , algorithm , control (management) , physics , quantum mechanics , artificial intelligence , machine learning
Summary This paper deals with the local consensus of multiagent systems with nonlinear dynamics communication delays simultaneously. By introducing a weighted average state and applying the properties of the Laplacian matrix eigenvalues, the system is decoupled into several subsystems, firstly, to reduce complexity of theory analysis. Then, a new augmented vector containing single and double integral terms is constructed and the corresponding Lyapunov functional with triple integral terms is introduced. Meanwhile, in order to improve the estimating accuracy of the derivatives of constructed Lyapunov functional, single integral inequalities and double integral inequalities via auxiliary functions, an extended relaxed integral inequality and an reciprocally convex approach are used, as a result, stability criterion with less conservatism is derived, which guarantees the local consensus of the considered systems. Finally, numerical examples are provided to check the improvement of the proposed method over the existing works.