Stabilizability of Discontinuous Fractional-Order Switched Systems with Partial Unstable Modes

This paper focuses on the global asymptotic stabilizability issue for a class of discontinuous fractional-order switched systems with partial unstable modes. A slow switching strategy is applied to the stable modes while the unstable modes are handled by a fast switching scheme. By using the multiple Lyapunov functionals, dwell time method, average dwell time approach and inequality techniques, sufficient stabilizability criteria are derived under the fractional Filippov differential inclusion framework. Finally, a numerical simulation is given to verify the validity of our results.