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Mathematical Foundation

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Symplectic Pseudospectral Methods for Optimal Control

Part of the book series: Intelligent Systems, Control and Automation: Science and Engineering ((ISCA,volume 97))

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Abstract

The book focuses on the symplectic pseudospectral methods to solve nonlinear optimal control problems. And this section provides necessary mathematical foundations to understand how we construct symplectic pseudospectral methods, including (i) basic concepts of optimal control problems, (ii) mathematical foundations of symplectic methods, and (iii) implementations of pseudospectral methods.

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References

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Author information

Authors and Affiliations

  1. Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaoning, China

    Xinwei Wang & Haijun Peng

  2. War Research Institute, Academy of Military Sciences, Beijing, China

    Jie Liu

Authors
  1. Xinwei Wang
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  2. Jie Liu
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  3. Haijun Peng
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Corresponding author

Correspondence to Xinwei Wang .

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© 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Wang, X., Liu, J., Peng, H. (2021). Mathematical Foundation. In: Symplectic Pseudospectral Methods for Optimal Control. Intelligent Systems, Control and Automation: Science and Engineering, vol 97. Springer, Singapore. https://doi.org/10.1007/978-981-15-3438-6_3

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