New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems

This paper investigates the asymptotic stability of a new class of nonlinear time-varying real-order systems that involve multiple delays. First, we introduce a comparison principle and a new lemma that give an estimation for the bounds between the solutions to any two relative systems. Then, by using the inequalities and comparison methodology, we develop some new mathematical results for the asymptotic stability analysis of the zero solution to such a class of systems. We establish new fractional-order-dependent and delay-dependent, and fractional-order-dependent and delay-independent conditions for the analysis of such a class of systems. At the end, we present three examples and demonstrate that some established criteria are very effective for the analysis and control of such systems.