Fractional calculus (FC) generalizes the concepts of derivative and integral to non-integer orders [...]

In this contribution, fractional-order controllers of the type PDμ and PIλ are applied to a class irrational transfer function models that appear in large-scale systems, such as networks mechanical/electrical elements distributed parameter systems. More precisely, by considering controller k p + η s α Laplace domain with − 1 ≤ , stability analysis parameter-space ( ) is presented. Furthermore, ...

in this article, we survey the asymptotic stability analysis of fractional differential systems with the prabhakar fractional derivatives. we present the stability regions for these types of fractional differential systems. a brief comparison with the stability aspects of fractional differential systems in the sense of riemann-liouville fractional derivatives is also given.