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

الملخص EN

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.