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The Derivation of Structural Properties of LM-g Splines by Necessary Condition of Optimal Control

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  • Xiongwei Liu
  • Xinjian Zhang
  • Lizhi Cheng

Abstract

The structural properties of LM-g splines are investigated by optimization and optimal control theory. The continuity and structure of LM-g splines are derived by using a class of necessary conditions with state constraints of optimal control and the relationship between LM-g interpolating splines and the corresponding L-g interpolating splines. This work provides a new method for further exploration of LM-g interpolating splines and its applications in the optimal control.

Suggested Citation

  • Xiongwei Liu & Xinjian Zhang & Lizhi Cheng, 2014. "The Derivation of Structural Properties of LM-g Splines by Necessary Condition of Optimal Control," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, April.
    • Handle: RePEc:hin:jnlaaa:641435
    DOI: 10.1155/2014/641435
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