Stabilization of fractional switched linear systems via reset control technique.

This paper deals with the L gain stability problem of a class of uncertain fractional switched reset control systems. The stability of the underlying switched linear system with uncertainties and bounded exogenous disturbance is verified via the Lyapunov stability theorem and employing sufficient linear matrix inequalities (LMIs). In this work, the problem of switching between several stabilizing controllers is taken into account, which, all of them are capable of stabilizing the corresponding linear system.