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On self-synchronization and controlled synchronization. / Blekhman, I. I.; Fradkov, A. L.; Nijmeijer, H.; Pogromsky, A. Yu.

In: Systems and Control Letters, Vol. 31, No. 5, 10.10.1997, p. 299-305.

Research output: Contribution to journal › Article › peer-review

Harvard

Blekhman, II, Fradkov, AL, Nijmeijer, H & Pogromsky, AY 1997, 'On self-synchronization and controlled synchronization', Systems and Control Letters, vol. 31, no. 5, pp. 299-305. https://doi.org/10.1016/S0167-6911(97)00047-9

APA

Blekhman, I. I., Fradkov, A. L., Nijmeijer, H., & Pogromsky, A. Y. (1997). On self-synchronization and controlled synchronization. Systems and Control Letters, 31(5), 299-305. https://doi.org/10.1016/S0167-6911(97)00047-9

Vancouver

Blekhman II, Fradkov AL, Nijmeijer H, Pogromsky AY. On self-synchronization and controlled synchronization. Systems and Control Letters. 1997 Oct 10;31(5):299-305. https://doi.org/10.1016/S0167-6911(97)00047-9

Author

Blekhman, I. I. ; Fradkov, A. L. ; Nijmeijer, H. ; Pogromsky, A. Yu. / On self-synchronization and controlled synchronization. In: Systems and Control Letters. 1997 ; Vol. 31, No. 5. pp. 299-305.

BibTeX

@article{3d63847ec1914591a583ae294f014057,
title = "On self-synchronization and controlled synchronization",
abstract = "An attempt is made to give a general formalism for synchronization in dynamical systems encompassing most of the known definitions and applications. The proposed set-up describes synchronization of interconnected systems with respect to a set of functionals and captures peculiarities of both self-synchronization and controlled synchronization. Various illustrative examples are given.",
keywords = "Nonlinear control, Nonlinear dynamics, Synchronization",
author = "Blekhman, {I. I.} and Fradkov, {A. L.} and H. Nijmeijer and Pogromsky, {A. Yu}",
note = "Funding Information: Starting with the work of Huygens \[13\] synchronization phenomena, attracted attention of many researchers. The development of small parameter and averaging methods l:,y Poincar6 \[22\]V, an der Pol \[24\], Bogolyubov \[7\] in the first-half of the 20th century allowed for a better understanding and theoretical explanation of the mechanism of self-synchronization \[2, 3\], a phenomenon which has numerous applications, see e.g. \[3,15\]M otivated by the study of chaotic phenomena (see e.g. \[23, 16\]) recent years have exhibited an increase in the interest in synchronization. Synchronization in chaotic systems was discussed, for instance in \[1, 21, 8, 6\]. In \[8, 6\] and some other recent work on chaoLic synchronization, the synchronization was understood as the asymptotic coincidence of the state vectors of two (or more) systems or of some parts of the state vectors. In \[1,21\]t wo different definitions of synchronization were suggested based * Corresponding author. Tel.: +31 534893442; fax: +31 53 43407 33; e-maih h.nijmeijer@math.utwente.nl. \]This work was supported in part by the INTAS Foundation under contract 94-0965.",
year = "1997",
month = oct,
day = "10",
doi = "10.1016/S0167-6911(97)00047-9",
language = "English",
volume = "31",
pages = "299--305",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",
number = "5",

}

RIS

TY - JOUR

T1 - On self-synchronization and controlled synchronization

AU - Blekhman, I. I.

AU - Fradkov, A. L.

AU - Nijmeijer, H.

AU - Pogromsky, A. Yu

N1 - Funding Information: Starting with the work of Huygens \[13\] synchronization phenomena, attracted attention of many researchers. The development of small parameter and averaging methods l:,y Poincar6 \[22\]V, an der Pol \[24\], Bogolyubov \[7\] in the first-half of the 20th century allowed for a better understanding and theoretical explanation of the mechanism of self-synchronization \[2, 3\], a phenomenon which has numerous applications, see e.g. \[3,15\]M otivated by the study of chaotic phenomena (see e.g. \[23, 16\]) recent years have exhibited an increase in the interest in synchronization. Synchronization in chaotic systems was discussed, for instance in \[1, 21, 8, 6\]. In \[8, 6\] and some other recent work on chaoLic synchronization, the synchronization was understood as the asymptotic coincidence of the state vectors of two (or more) systems or of some parts of the state vectors. In \[1,21\]t wo different definitions of synchronization were suggested based * Corresponding author. Tel.: +31 534893442; fax: +31 53 43407 33; e-maih h.nijmeijer@math.utwente.nl. \]This work was supported in part by the INTAS Foundation under contract 94-0965.

PY - 1997/10/10

Y1 - 1997/10/10

N2 - An attempt is made to give a general formalism for synchronization in dynamical systems encompassing most of the known definitions and applications. The proposed set-up describes synchronization of interconnected systems with respect to a set of functionals and captures peculiarities of both self-synchronization and controlled synchronization. Various illustrative examples are given.

AB - An attempt is made to give a general formalism for synchronization in dynamical systems encompassing most of the known definitions and applications. The proposed set-up describes synchronization of interconnected systems with respect to a set of functionals and captures peculiarities of both self-synchronization and controlled synchronization. Various illustrative examples are given.

KW - Nonlinear control

KW - Nonlinear dynamics

KW - Synchronization

UR - http://www.scopus.com/inward/record.url?scp=0000039340&partnerID=8YFLogxK

U2 - 10.1016/S0167-6911(97)00047-9

DO - 10.1016/S0167-6911(97)00047-9

M3 - Article

VL - 31

SP - 299

EP - 305

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

IS - 5

ER -

ID: 5110573