New results on the asymptotic stability of nonlinear Riemann-Liouville q-fractional singular neutral systems with distributed constant delays

Abstract

The current paper investigates the asymptotic stability problem of nonlinear Riemann-Liouville (RL) \textit{q}-fractional singular neutral systems with distributed constant delays. By using linear matrix inequalities (LMIs) and developing suitable Lyapunov-Krasovskii functionals (LKFs), new conditions for asymptotic stability are derived. The approach used in this study relies on directly calculating the quantum derivatives of the LKFs. Two theorems and their corollaries are developed to reveal the main theoretical contributions of the current study. Two illustrative simple examples are given to demonstrate the validity and computational efficiency of the obtained results.