The pointwise completeness and the pointwise degeneracy of linear discrete-time different fractional order systems

Abstract

Necessary and sufficient conditions for the pointwise completeness and the pointwise degeneracy of linear discrete-time different fractional order systems are established. It is shown that if the fractional system is pointwise complete in one step (q = 1), then it is also pointwise complete for q = 2, 3…

Keywords

• discrete-time
• fractional
• different order
• pointwise completeness
• pointwise degeneracy
• positive