Synchronization of nonlinearly coupled networks based on circle criterion

Sergei A. Plotnikov; Alexander L. Fradkov

doi:10.1063/5.0055814

Synchronization of nonlinearly coupled networks based on circle criterion

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/5.0055814 ◽

2021 ◽

Vol 31 (10) ◽

pp. 103110

Author(s):

Sergei A. Plotnikov ◽

Alexander L. Fradkov

Keyword(s):

Circle Criterion ◽

Coupled Networks

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The Circle Criterion for Synchronization in Nonlinearly Coupled Networks.

IFAC Proceedings Volumes ◽

10.3182/20130904-3-fr-2041.00205 ◽

2013 ◽

Vol 46 (23) ◽

pp. 737-742

Author(s):

Anton V. Proskurnikov

Keyword(s):

Circle Criterion ◽

Coupled Networks

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Phase Margins in a Class of Nonlinear Systems: Lyapunov, Circle Criterion and Describing Function Approaches

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2020.12.1743 ◽

2020 ◽

Vol 53 (2) ◽

pp. 6274-6280

Author(s):

Siddharth S. Das ◽

Yuri Shtessel ◽

Franck Plestan

Keyword(s):

Nonlinear Systems ◽

Describing Function ◽

Circle Criterion

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A fixed-time synchronization-based secure communication scheme for two-layer hybrid coupled networks

Neurocomputing ◽

10.1016/j.neucom.2020.12.033 ◽

2021 ◽

Vol 433 ◽

pp. 131-141

Author(s):

Lili Zhou ◽

Fei Tan ◽

Xiaohui Li ◽

Ling Zhou

Keyword(s):

Secure Communication ◽

Time Synchronization ◽

Fixed Time ◽

Coupled Networks ◽

Communication Scheme

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Sufficient conditions for dynamical output feedback stabilization via the circle criterion

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) ◽

10.1109/cdc.2003.1272310 ◽

2004 ◽

Cited By ~ 3

Author(s):

A. Shiriaev ◽

R. Johansson ◽

A. Robertsson

Keyword(s):

Output Feedback ◽

Sufficient Conditions ◽

Feedback Stabilization ◽

Circle Criterion ◽

Output Feedback Stabilization

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Parallel Delaunay triangulation based on circum-circle criterion

Proceedings of the 18th spring conference on Computer graphics - SCCG '03 ◽

10.1145/984952.984966 ◽

2003 ◽

Cited By ~ 4

Author(s):

Josef Kohout ◽

Ivana Kolingerová

Keyword(s):

Delaunay Triangulation ◽

Circle Criterion

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Stability analysis of the simplest t-s fuzzy control system using the off-axis circle criterion

IEEE ICCA 2010 ◽

10.1109/icca.2010.5524161 ◽

2010 ◽

Cited By ~ 1

Author(s):

Xianlin Huang ◽

Kairui Cao ◽

Xiaojun Ban ◽

X. Z. Gao

Keyword(s):

Control System ◽

Stability Analysis ◽

Fuzzy Control ◽

Fuzzy Control System ◽

Circle Criterion

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Eigenvalue based approach to pinning synchronization in general coupled networks

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference ◽

10.1109/cdc.2009.5400587 ◽

2009 ◽

Cited By ~ 2

Author(s):

Linying Xiang ◽

Jonathan J.H. Zhu

Keyword(s):

Coupled Networks

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General Inertia and Circle Criterion

PAMM ◽

10.1002/pamm.200610402 ◽

2006 ◽

Vol 6 (1) ◽

pp. 845-846

Author(s):

Selim Solmaz ◽

Oliver Mason ◽

Robert Shorten

Keyword(s):

Circle Criterion

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Second-order synchronization of two nonlinear coupled networks with heterogeneous nonlinear dynamics and time-varying delays

2016 35th Chinese Control Conference (CCC) ◽

10.1109/chicc.2016.7554609 ◽

2016 ◽

Cited By ~ 1

Author(s):

Yanxin Zhang ◽

Shuang Li ◽

Bo Liu ◽

Qiang Li ◽

Hong Shi

Keyword(s):

Nonlinear Dynamics ◽

Second Order ◽

Time Varying ◽

Coupled Networks

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Proof of the circle criterion for state space systems via quadratic Lyapunov functions — Part 2

International Journal of Control ◽

10.1080/00207179308934422 ◽

1993 ◽

Vol 57 (4) ◽

pp. 957-969 ◽

Cited By ~ 12

Author(s):

PAUL F. CURRAN

Keyword(s):

State Space ◽

Lyapunov Functions ◽

Space Systems ◽

Circle Criterion ◽

Quadratic Lyapunov Functions ◽

State Space Systems

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