Asymptotical stability of Riemann-Liouville fractional singular systems with multiple time-varying delays

Stability of Riemann-Liouville fractional singular systems remains an open problem. This paper deals with Riemann-Liouville fractional singular systems with multiple time-varying delays, and two asymptotic stability criteria are derived. The criteria are described as matrix equations or matrix inequalities, which are computationally flexible and efficient. The advantage of our employed method is that one may directly calculate integer-order derivatives of the Lyapunov functions. Finally, a simple example is given to illustrate the effectiveness of our main results.