fractional-order system using a first order controller c (s)=(x 1 s+ x 2)/(s+ x 3). The problem is
solved by determining the global stability region in the controller parameter space [x 1, x 2, x
3] using D-decomposition technique. Analytical expressions are derived for the purpose of
obtaining the stability boundaries of this region which are described by real root boundary,
infinite root boundary and complex root boundary. Thus, the complete set of stabilizing first …