Lp-novm boundedness conditions of stable Davidson-Cole filters

This paper starts by investigating the boundedness conditions of the L₂-norm of the impulse response of Davidson-Cole type fractional filters cascaded with pure fractional integrators. Then, it extends these boundedness conditions to the L_p-norms, with 1 ≤ p ≤ ∞. An illustrative example is then presented. It allows evaluating the integral squared error of a CRONE control loop and compares it to a classical proportional-derivative controller on a parameter varying system.