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

Xiongwei Liu, Xinjian Zhang and Lizhi Cheng

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/641435

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:641435

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