Structured Lyapunov functions for synchronization of identical affine-in-control agents-Unified approach
Result description
This paper brings structured Lyapunov functions guaranteeing cooperative state synchronization of identical agents.Versatile synchronizing region methods for identical linear systems motivate the structure of proposed Lyapunov functions.The obtained structured functions are applied to cooperative synchronization problems for affine-in-control nonlinear agents. For irreducible graphs a virtual leader is used to analyze synchronization. For reducible graphs ac ombination of cooperative tracking and irreducible graph cooperative synchronization is used to address cooperative dynamics by Lyapunov methods. This provides a connection between the synchronizing region analysis,incremental stability and Lyapunov cooperative stability conditions.
Keywords
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/68407700:21230/16:00303903
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Structured Lyapunov functions for synchronization of identical affine-in-control agents-Unified approach
Original language description
This paper brings structured Lyapunov functions guaranteeing cooperative state synchronization of identical agents.Versatile synchronizing region methods for identical linear systems motivate the structure of proposed Lyapunov functions.The obtained structured functions are applied to cooperative synchronization problems for affine-in-control nonlinear agents. For irreducible graphs a virtual leader is used to analyze synchronization. For reducible graphs ac ombination of cooperative tracking and irreducible graph cooperative synchronization is used to address cooperative dynamics by Lyapunov methods. This provides a connection between the synchronizing region analysis,incremental stability and Lyapunov cooperative stability conditions.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of the Franklin Institute-Engineering and Applied Mathematics
ISSN
0016-0032
e-ISSN
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Volume of the periodical
353
Issue of the periodical within the volume
14
Country of publishing house
US - UNITED STATES
Number of pages
30
Pages from-to
3457-3486
UT code for WoS article
000381840500008
EID of the result in the Scopus database
2-s2.0-84991832966
Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BC - Theory and management systems
Year of implementation
2016