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Toward a Unified Mathematical and Computational Framework for Control and Mechanics

Toward a Unified Mathematical and Computational Framework for Control and Mechanics
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摘要 This is a brief review on the recent book: Duality System in Applied Mechanics and Optimal Control, by Zhong Wan-Xie, published by Kluwer Academic Publishers, 2004. The book represents a significant effort to re-establish the historic and deep tie between control and mechanics by striving to connect and integrate concepts, methods, and algorithms in mechanics and control so that a unified framework can be established for both analytical and computational purposes. Clearly, it has demonstrated that the duality system method can be used as a mathematical and systematic foundation to deal with many important concepts and problems in both mechanics and control. This book is not only very useful for research and applications, but also extremely helpful for multidisciplinary curriculum development when students from one field are trying to learning and applying concepts and methods from the other field. This is a brief review on the recent book: Duality System in Applied Mechanics and Optimal Control, by Zhong Wan-Xie, published by Kluwer Academic Publishers, 2004. The book represents a significant effort to re-establish the historic and deep tie between control and mechanics by striving to connect and integrate concepts, methods, and algorithms in mechanics and control so that a unified framework can be established for both analytical and computational purposes. Clearly, it has demonstrated that the duality system method can be used as a mathematical and systematic foundation to deal with many important concepts and problems in both mechanics and control. This book is not only very useful for research and applications, but also extremely helpful for multidisciplinary curriculum development when students from one field are trying to learning and applying concepts and methods from the other field.
作者 WANG Fei-Yue
出处 《自动化学报》 EI CSCD 北大核心 2006年第2期318-320,共3页 Acta Automatica Sinica
基金 Supported by the Outstanding Young Scientist Research Fund from the National Natural Science Foundation of P. R. China (60125310)
关键词 对偶系统 Hamiltor-Jacobi方程 计算力学 优化控制 Duality systems, symplectic methods, Hamiltor-Jacobi equation, computational mechanics, optimal control
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参考文献3

  • 1Zhong W X. Daulity System in Applied Mechanics and Optimal Control. Dordrecht: Kluwer Academic Publishers, 2004.
  • 2Zhong W X, Yao W A. Symplectic Elasticity. Beijing: Higher Education Press, 2002.
  • 3Zhong W X. Computational-Structural Mechanics and Optimal Control. Dalian: Dalian University of Technology Press, 1993.

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