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Sufficient Conditions on Observability Grammian for Synchronization in Arrays of Coupled Linear Time-Varying Systems
Date
2010-11-01
Author
Tuna, Sezai Emre
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Synchronizability of stable, output-coupled, identical, linear time-varying systems is studied. It is shown that if the observability grammian satisfies a persistence of excitation condition, then there exists a bounded, linear time-varying feedback law that yields exponential synchronization for all fixed, asymmetrical interconnections with connected graphs. Also, a weaker condition on the grammian is given for asymptotic synchronization. No assumption is made on the strength of coupling between the systems.
Subject Keywords
Linear time-varying system
,
Observability grammian
,
Persistence of excitation
,
Synchronization
,
Synchronizing feedback law
URI
https://hdl.handle.net/11511/47622
Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
DOI
https://doi.org/10.1109/tac.2010.2057930
Collections
Department of Electrical and Electronics Engineering, Article
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S. E. Tuna, “Sufficient Conditions on Observability Grammian for Synchronization in Arrays of Coupled Linear Time-Varying Systems,”
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
, pp. 2586–2590, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47622.