2018
DOI: 10.1002/rnc.4115
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Synchronization in a network of identical continuous‐ or discrete‐time agents with unknown nonuniform constant input delay

Abstract: Summary This paper studies the synchronization problem for multiagent systems with identical continuous‐ or discrete‐time agents with unknown nonuniform constant input delays. The agents are connected via full‐ or partial‐state coupling. The agents are assumed to be asymptotically null controllable, ie, all eigenvalues are in the closed left‐half complex plane for continuous‐time agents or in the closed unit disc for discrete‐time agents. We derive an upper bound for the input delay tolerance, which explicitly… Show more

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Cited by 25 publications
(19 citation statements)
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References 33 publications
(37 reference statements)
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“…and utilizing (29), it can be obtained in frequency domain Following Lemma 1, the proof has two steps: 1) proving the stability of (A.5) without delay τ ij . 2) checking the determinant condition (A.2) for the stability of the system in presence of delays τ ij .…”
Section: Appendix Amentioning
confidence: 99%
“…and utilizing (29), it can be obtained in frequency domain Following Lemma 1, the proof has two steps: 1) proving the stability of (A.5) without delay τ ij . 2) checking the determinant condition (A.2) for the stability of the system in presence of delays τ ij .…”
Section: Appendix Amentioning
confidence: 99%
“…[41,42] studied state synchronization problems in the presnce of unknown uniform constant input delay for continuous-and discretetime networks with higher-order linear agents. Recently, [49] has studied synchronization in homogeneous networks of both continuous-or discrete-time agents with unknown non-uniform constant input delays.…”
Section: Introductionmentioning
confidence: 99%
“…[42,43] studied state synchronization problems in the presence of unknown uniform constant input delay for both continuous-and discrete-time networks with higherorder linear agents. Recently, [50] has studied synchronization in homogeneous networks of both continuous-or discrete-time agents with unknown non-uniform constant input delays.…”
Section: Introductionmentioning
confidence: 99%