Distributed Algorithm for Discrete-Time Lyapunov Equations

Xia Jiang; Xianlin Zeng; Jian Sun; Jie Chen

doi:10.1109/ICARCV.2018.8581279

Distributed Algorithm for Discrete-Time Lyapunov Equations

Xia Jiang, Xianlin Zeng, Jian Sun, Jie Chen

School of Automation

Beijing Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

This paper investigates the problem of solving a unique solution to discrete-time Lyapunov equations (DTLE) using multi-agent networks. We propose a distributed algorithm where each agent only uses partial information of the matrices. The agents of the algorithm reach a consensus by exchanging information with their neighbors over an undirected connected graph. We provide convergence analysis and the convergence rate estimate for the proposed algorithm. Finally, convergence performance is verified by numerical simulations.

Original language	English
Title of host publication	2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	768-773
Number of pages	6
ISBN (Electronic)	9781538695821
DOIs	https://doi.org/10.1109/ICARCV.2018.8581279
Publication status	Published - 18 Dec 2018
Event	15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018 - Singapore, Singapore Duration: 18 Nov 2018 → 21 Nov 2018

Publication series

Name	2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018

Conference

Conference	15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018
Country/Territory	Singapore
City	Singapore
Period	18/11/18 → 21/11/18

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10.1109/ICARCV.2018.8581279

Cite this

Jiang, X., Zeng, X., Sun, J., & Chen, J. (2018). Distributed Algorithm for Discrete-Time Lyapunov Equations. In 2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018 (pp. 768-773). Article 8581279 (2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICARCV.2018.8581279

Jiang, Xia ; Zeng, Xianlin ; Sun, Jian et al. / Distributed Algorithm for Discrete-Time Lyapunov Equations. 2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 768-773 (2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018).

@inproceedings{b03c7acaa19c42aaba1b2e2e7d503791,

title = "Distributed Algorithm for Discrete-Time Lyapunov Equations",

abstract = "This paper investigates the problem of solving a unique solution to discrete-time Lyapunov equations (DTLE) using multi-agent networks. We propose a distributed algorithm where each agent only uses partial information of the matrices. The agents of the algorithm reach a consensus by exchanging information with their neighbors over an undirected connected graph. We provide convergence analysis and the convergence rate estimate for the proposed algorithm. Finally, convergence performance is verified by numerical simulations.",

author = "Xia Jiang and Xianlin Zeng and Jian Sun and Jie Chen",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018 ; Conference date: 18-11-2018 Through 21-11-2018",

year = "2018",

month = dec,

day = "18",

doi = "10.1109/ICARCV.2018.8581279",

language = "English",

series = "2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018",

address = "United States",

}

Jiang, X, Zeng, X, Sun, J & Chen, J 2018, Distributed Algorithm for Discrete-Time Lyapunov Equations. in 2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018., 8581279, 2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018, Institute of Electrical and Electronics Engineers Inc., pp. 768-773, 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018, Singapore, Singapore, 18/11/18. https://doi.org/10.1109/ICARCV.2018.8581279

Distributed Algorithm for Discrete-Time Lyapunov Equations. / Jiang, Xia; Zeng, Xianlin; Sun, Jian et al.
2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 768-773 8581279 (2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Distributed Algorithm for Discrete-Time Lyapunov Equations

AU - Jiang, Xia

AU - Zeng, Xianlin

AU - Sun, Jian

AU - Chen, Jie

PY - 2018/12/18

Y1 - 2018/12/18

N2 - This paper investigates the problem of solving a unique solution to discrete-time Lyapunov equations (DTLE) using multi-agent networks. We propose a distributed algorithm where each agent only uses partial information of the matrices. The agents of the algorithm reach a consensus by exchanging information with their neighbors over an undirected connected graph. We provide convergence analysis and the convergence rate estimate for the proposed algorithm. Finally, convergence performance is verified by numerical simulations.

AB - This paper investigates the problem of solving a unique solution to discrete-time Lyapunov equations (DTLE) using multi-agent networks. We propose a distributed algorithm where each agent only uses partial information of the matrices. The agents of the algorithm reach a consensus by exchanging information with their neighbors over an undirected connected graph. We provide convergence analysis and the convergence rate estimate for the proposed algorithm. Finally, convergence performance is verified by numerical simulations.

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DO - 10.1109/ICARCV.2018.8581279

M3 - Conference contribution

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T3 - 2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018

SP - 768

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BT - 2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018

PB - Institute of Electrical and Electronics Engineers Inc.

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ER -

Jiang X, Zeng X, Sun J, Chen J. Distributed Algorithm for Discrete-Time Lyapunov Equations. In 2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 768-773. 8581279. (2018 15th International Conference on Control, Automation, Robotics and Vision, ICARCV 2018). doi: 10.1109/ICARCV.2018.8581279

Distributed Algorithm for Discrete-Time Lyapunov Equations

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