NDLI: On the Lyapunov exponent of consensus algorithm

Content Provider	IEEE Xplore Digital Library
Author	Yao Chen Jinhu Lu Hairong Dong Xinghuo Yu
Copyright Year	2012
Description	Author affiliation: Key Lab. Syst. Contr., Inst. Syst. Sci., Acad. Math. Syst. Sci., Chin. Acad. Sci., Beijing 100190, China (Yao Chen) \|\| Sch. Electr. Inf. Eng., Beijing Jiaotong Univ., 100044, China (Hairong Dong) \|\| LSC, Inst. Syst. Sci., Acad. Math. Syst. Sci., Chin. Acad. Sci., Beijing 100190, China (Jinhu Lu) \|\| Sch. Electr. Comput. Eng., RMIT University, Melbourne VIC 3001, Australia (Xinghuo Yu)
Abstract	Nowadays, consensus of multi-agent systems (MAS) is an intriguing topic which receives increasing attention from various disciplines recently. Traditionally, the analysis of consensusability for a given MAS with switching topology can be attributed to some techniques such as eigenvalue analysis, convergence of Markov chain, Lyapunov candidate construction, and so on. However, all these techniques are based on some restrictive conditions and hardly be generalized to the case of general switching topology. This paper aims at providing an inner explanation that the general consensus problem of MAS with switching topology can be transformed into the numerical calculation of the Lyapunov exponent for a given set of matrices. Consequently, the consensus of MAS with general switching topology can be resolved by using the existing numerical algorithm of Lyapunov exponent.
Starting Page	931
Ending Page	936
File Size	130247
Page Count	6
File Format	PDF
ISBN	9781467313971
e-ISBN	9781467313988
DOI	10.1109/WCICA.2012.6358012
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-06
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Switches Topology Eigenvalues and eigenfunctions Lyapunov methods Heuristic algorithms Educational institutions Australia joint spectral radius Multi-agent system consensus discrete inclusion Lyapunov exponent
Content Type	Text
Resource Type	Article

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