Steady-state response of constant coefficient discrete-time differential systems

Abstract

The problem of steady state output of the discrete-time fractional differential systems is studied in this paper. Based on the fact that the exponentials are the eigenfunctions of such systems, a general algorithm for the output computation when the input is the product “rising factorial.exponential” is presented. The singular case is studied and solved.

Keywords

• Fractional differential equations
• Constant coefficient
• Particular solution
• Eigenfunction
• Transfer function