Further results on the asymptotic stability of Riemann–Liouville fractional neutral systems with variable delays

Abstract

Abstract In this paper, the investigation of the asymptotic stability of Riemann–Liouville fractional neutral systems with variable delays has been presented. The advantage of the Lyapunov functional was used to achieve the desired results. The stability criteria obtained for zero solution of the system were formulated as linear matrix inequalities (LMIs) which can be easily solved. The advantage of the considered method is that the integer-order derivatives of the Lyapunov functionals can be directly calculated. Finally, three numerical examples have been evaluated to illustrate that the proposed method is flexible and efficient in terms of computation and to demonstrate the feasibility of established assumptions by MATLAB-Simulink.

Keywords

• Asymptotic stability
• Riemann–Liouville fractional neutral systems
• Lyapunov functional
• LMI
• Variable delay