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A high order polynomial interpolation method is proposed for the motion planning of the fast opening of the protection cover, which is based on its characteristics to ensure the steady ability.

During the constructing of the interpolation polynomial, we infer a sufficient condition such that Nonlinear System has limited L2-gain. The sufficient condition is a group of linear matrix ...

On this basis, we conclude that the Lagrange interpolation is unstable, whereas several types of piecewise low order polynomial interpolation are stable. For high order approximation with data on ...

Newton's polynomial interpolation may be the favourite linear interpolation in the sense that it is built up by means of the divided differences which can be calculated recursively and produce useful ...

In spline toolpath interpolation, a crucial point is solving the mapping between the spline parameter (u) and actual arc length (s) accurately, so that the toolpath is traveled without undesirable ...