An Implementation of the Universal Birkhoff Pseudospectral Theory Using a Generic Nonlinear Programming Solver

Chenyang Liu; Junhui Liu; Jiayuan Shan; Chunyu Li; Jianan Wang; Yankai Wang

doi:10.1109/ICCA69928.2026.11618044

An Implementation of the Universal Birkhoff Pseudospectral Theory Using a Generic Nonlinear Programming Solver

Chenyang Liu
, Junhui Liu^*
, Jiayuan Shan
, Chunyu Li
, Jianan Wang
, Yankai Wang

^*此作品的通讯作者

Beijing Institute of Technology

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

摘要

We implement the universal Birkhoff pseudospectral theory over Legendre-Gauss-Radau grid by developing new covector mapping theorem for generic nonlinear programming algorithms. Considering the barriers between the stationarity conditions and optimality, we utilize the tightened Birkhoff theories specifically for nonlinear programming implementations to augment and relax primal conditions, and the relating covector mapping theorem is constructed with the specially modified Lagrangian. Examples of singular optimal control problem are provided, demonstrating the effectiveness and potential generality of our new theories for implementations.

源语言	英语
主期刊名	2026 IEEE 20th International Conference on Control and Automation, ICCA 2026
出版商	IEEE Computer Society
页	2062-2069
页数	8
ISBN（电子版）	9798331548537
DOI	https://doi.org/10.1109/ICCA69928.2026.11618044
出版状态	已出版 - 2026
已对外发布	是
活动	20th IEEE International Conference on Control and Automation, ICCA 2026 - Almaty, 哈萨克斯坦期限: 16 6月 2026 → 19 6月 2026

丛书

姓名	IEEE International Conference on Control and Automation, ICCA
ISSN（印刷版）	1948-3449
ISSN（电子版）	1948-3457

会议

会议	20th IEEE International Conference on Control and Automation, ICCA 2026
国家/地区	哈萨克斯坦
市	Almaty
时期	16/06/26 → 19/06/26

访问文件

10.1109/ICCA69928.2026.11618044

其它文件与链接

链接到 Scopus 的出版物

引用此

Liu, C., Liu, J., Shan, J., Li, C., Wang, J., & Wang, Y. (2026). An Implementation of the Universal Birkhoff Pseudospectral Theory Using a Generic Nonlinear Programming Solver. 在 2026 IEEE 20th International Conference on Control and Automation, ICCA 2026 (页码 2062-2069). (IEEE International Conference on Control and Automation, ICCA). IEEE Computer Society. https://doi.org/10.1109/ICCA69928.2026.11618044

@inproceedings{ab81c7771bc045228937f9aa37127ee1,

title = "An Implementation of the Universal Birkhoff Pseudospectral Theory Using a Generic Nonlinear Programming Solver",

abstract = "We implement the universal Birkhoff pseudospectral theory over Legendre-Gauss-Radau grid by developing new covector mapping theorem for generic nonlinear programming algorithms. Considering the barriers between the stationarity conditions and optimality, we utilize the tightened Birkhoff theories specifically for nonlinear programming implementations to augment and relax primal conditions, and the relating covector mapping theorem is constructed with the specially modified Lagrangian. Examples of singular optimal control problem are provided, demonstrating the effectiveness and potential generality of our new theories for implementations.",

author = "Chenyang Liu and Junhui Liu and Jiayuan Shan and Chunyu Li and Jianan Wang and Yankai Wang",

note = "Publisher Copyright: {\textcopyright} 2026 IEEE.; 20th IEEE International Conference on Control and Automation, ICCA 2026 ; Conference date: 16-06-2026 Through 19-06-2026",

year = "2026",

doi = "10.1109/ICCA69928.2026.11618044",

language = "English",

series = "IEEE International Conference on Control and Automation, ICCA",

publisher = "IEEE Computer Society",

pages = "2062--2069",

booktitle = "2026 IEEE 20th International Conference on Control and Automation, ICCA 2026",

address = "United States",

}

Liu, C, Liu, J , Shan, J, Li, C, Wang, J & Wang, Y 2026, An Implementation of the Universal Birkhoff Pseudospectral Theory Using a Generic Nonlinear Programming Solver. 在 2026 IEEE 20th International Conference on Control and Automation, ICCA 2026. IEEE International Conference on Control and Automation, ICCA, IEEE Computer Society, 页码 2062-2069, 20th IEEE International Conference on Control and Automation, ICCA 2026, Almaty, 哈萨克斯坦, 16/06/26. https://doi.org/10.1109/ICCA69928.2026.11618044

An Implementation of the Universal Birkhoff Pseudospectral Theory Using a Generic Nonlinear Programming Solver. / Liu, Chenyang; Liu, Junhui ; Shan, Jiayuan 等.
2026 IEEE 20th International Conference on Control and Automation, ICCA 2026. IEEE Computer Society, 2026. 页码 2062-2069 (IEEE International Conference on Control and Automation, ICCA).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - An Implementation of the Universal Birkhoff Pseudospectral Theory Using a Generic Nonlinear Programming Solver

AU - Liu, Chenyang

AU - Liu, Junhui

AU - Shan, Jiayuan

AU - Li, Chunyu

AU - Wang, Jianan

AU - Wang, Yankai

PY - 2026

Y1 - 2026

N2 - We implement the universal Birkhoff pseudospectral theory over Legendre-Gauss-Radau grid by developing new covector mapping theorem for generic nonlinear programming algorithms. Considering the barriers between the stationarity conditions and optimality, we utilize the tightened Birkhoff theories specifically for nonlinear programming implementations to augment and relax primal conditions, and the relating covector mapping theorem is constructed with the specially modified Lagrangian. Examples of singular optimal control problem are provided, demonstrating the effectiveness and potential generality of our new theories for implementations.

AB - We implement the universal Birkhoff pseudospectral theory over Legendre-Gauss-Radau grid by developing new covector mapping theorem for generic nonlinear programming algorithms. Considering the barriers between the stationarity conditions and optimality, we utilize the tightened Birkhoff theories specifically for nonlinear programming implementations to augment and relax primal conditions, and the relating covector mapping theorem is constructed with the specially modified Lagrangian. Examples of singular optimal control problem are provided, demonstrating the effectiveness and potential generality of our new theories for implementations.

UR - https://www.scopus.com/pages/publications/105047317850

U2 - 10.1109/ICCA69928.2026.11618044

DO - 10.1109/ICCA69928.2026.11618044

M3 - Conference contribution

AN - SCOPUS:105047317850

T3 - IEEE International Conference on Control and Automation, ICCA

SP - 2062

EP - 2069

BT - 2026 IEEE 20th International Conference on Control and Automation, ICCA 2026

PB - IEEE Computer Society

T2 - 20th IEEE International Conference on Control and Automation, ICCA 2026

Y2 - 16 June 2026 through 19 June 2026

ER -

Liu C, Liu J , Shan J, Li C, Wang J , Wang Y. An Implementation of the Universal Birkhoff Pseudospectral Theory Using a Generic Nonlinear Programming Solver. 在 2026 IEEE 20th International Conference on Control and Automation, ICCA 2026. IEEE Computer Society. 2026. 页码 2062-2069. (IEEE International Conference on Control and Automation, ICCA). doi: 10.1109/ICCA69928.2026.11618044

An Implementation of the Universal Birkhoff Pseudospectral Theory Using a Generic Nonlinear Programming Solver

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会议

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