No abstract

The aim of this paper is to derive the new correlation about the first and second kind of chebyshev wavelets and proposed to new results on the derivative function on chebyshev wavelets. It is most helpful for the optimal control analysis.

<div><p><em>In this paper, we derive new explicit formula for the matrix derivatives of chebyshev polynomial third degree because of this kind of polynomial is an important tool for numerical analysis of optimal controlling system. A numerical example is included to demonstrate the validity and applicability of the technique.</em></p></div>