Delay-independent stability of switched fractional nonlinear delayed systems

Abstract This paper investigates the stability of switched fractional nonlinear delayed systems, in which all subsystems may be unstable. By employing state-dependent switching strategy, fractional Razumikhin technique and common Lyapunov function approach, a framework for stability analysis is developed and several delay-independent conditions on uniformly asymptotical stability are presented. The proposed method addresses challenges arising from unstable modes, time delays and fractional derivatives. The obtained results demonstrate further that the stability will be still achieved even all subsystems are unstable. Finally, a practical circuit switching example is provided to illustrate the application of the theoretical conclusions.