Numerical solution of linear control systems using interpolation scaling functions

Document Type : Research Paper


1 Young Researchers and Elite Clube, Marand Branch, Islamic Azad University, Marand, Iran

2 Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran


The current paper proposes a technique for the numerical solution of linear control systems.The method is based on Galerkin method, which uses the interpolating scaling functions. For a highly accurate connection between functions and their derivatives, an operational matrix for the derivatives is established to reduce the problem to a set of algebraic equations. Several test problems are given, and the numerical results are reported to show the accuracy and efficiency of this method.