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Synchronization of linear systems via relative actuation
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Date
2019-12-01
Author
Tuna, Sezai Emre
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Synchronization in networks of discrete-time linear time-invariant systems is considered under relative actuation. Neither input nor output matrices are assumed to be commensurable. A distributed algorithm that ensures synchronization via dynamic relative output feedback is presented.
Subject Keywords
Control and Systems Engineering
,
Mechanical Engineering
,
Electrical and Electronic Engineering
,
General Computer Science
URI
https://hdl.handle.net/11511/40685
Journal
SYSTEMS & CONTROL LETTERS
DOI
https://doi.org/10.1016/j.sysconle.2019.104527
Collections
Department of Electrical and Electronics Engineering, Article
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Synchronization is studied in an array of identical oscillators undergoing small vibrations. The overall coupling is described by a pair of matrix-weighted Laplacian matrices; one representing the dissipative, the other the restorative connectors. A construction is proposed to combine these two real matrices in a single complex matrix. It is shown that whether the oscillators synchronize in the steady state or not depend on the number of eigenvalues of this complex matrix on the imaginary axis. Certain refi...
Growth rate of switched homogeneous systems
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Observability Through a Matrix-Weighted Graph
Tuna, Sezai Emre (Institute of Electrical and Electronics Engineers (IEEE), 2018-07-01)
Observability of an array of identical linear time-invariant systems with incommensurable output matrices is studied, where an array is called observable when identically zero relative outputs imply synchronized solutions for the individual systems. It is shown that the observability of an array is equivalent to the connectivity of its interconnection graph, whose edges are assigned matrix weights. Moreover, to better understand the relative behavior of distant units, pairwise observability that concerns wi...
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S. E. Tuna, “Synchronization of linear systems via relative actuation,”
SYSTEMS & CONTROL LETTERS
, pp. 0–0, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40685.