Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (6): 517-528.

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THE APPLICATION OF THE VARIATIONAL PRINCIPLE IN THE CONSTRAINED CONTROL SYSTEM

Deng Zi-chen1, Zhong Wan-xie2   

  1. 1. Northwestern Polytechnical University, Xi'an;
    2. Dalian University of Technology, Dalian
  • Received:1992-09-25 Online:1994-06-18 Published:1994-06-18
  • Supported by:

    Project usupportcd by the Natronal Natural Scrence Foundation of China

Abstract: The regular equations on the constraint variables are established for LQ and non-linear control problems in this paper,then the extreme-value principles of con-straint variables are discussed for the equality and unequality constraint cases respec-tively. At last, the given example verifies the conclusion of this paper. The work in this paper will lay the foundation for the further study about the constrained LQ and non-linear control systems.

Key words: free jet, Chebyshev pseudospectral method, interfacial stability, variational principle, regular equation, parametric variable

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