Stability analysis of interconnected discrete-time fractional-order LTI state-space systems (Q2023571)

In this paper authors present the stability analysis of interconnected discrete-time fractional order linear time invariant state space systems. The authors analyse the stability of interconnected discrete-time fractional order linear time invariant state-space systems. The authors propose a general numerical test which consist of a transformation of the characteristic equation of the system considered and the triangulation of the unit circle with a self adaptive mesh refinement and final verification based on Cauchy's argument principle. Several numerical examples are given to illustrate the methods discussed.