Robust stabilization of linear and nonlinear fractional-order systems with nonlinear uncertain parameters

The paper presents the robust stabilization problem of linear and nonlinear fractional-order systems with nonlinear uncertain parameters. The uncertainty in the model appears in the form of combination of “additive perturbation” and “multiplicative perturbation”. Sufficient conditions for robust stabilization of such linear and nonlinear fractional-order systems are presented in terms of linear matrix inequalities and using the new generalization of Gronwall-Bellman approach.