An improved criterion for ellipsoidal invariant set of fractional order uncertain systems subject to input saturation

This technical note investigates the problem of the estimation of domain of attraction of a class of fractional order systems. The unknown parameters of system matrix and the actuator saturation are considered here. The sufficient condition is based on Lyapunov direct approach and fractional order inequalities. After that, the optimal problem is constructed by the method of linear matrices (LMIs) and solved by Matlab. Finally, the superiority of the proposed theoretical method is demonstrated by two numerical examples.