This paper deals with the global asymptotic stability of the zero solution of a certain class of incommensurate nonlinear fractional time-varying systems. By following the fractional comparison approach, two distinct new theorems are developed for the analysis of such class of systems where the state equations are associated with different fractional orders in the range 0–1. Based on these theorems, several new results are put forward for testing the asymptotic stability of such class of systems. Finally, three illustrative examples are provided where it is shown that some proposed asymptotic stability conditions are practically convenient for the analysis and control of such systems.

本文研究了一类不通约非线性分数阶时变系统的零解的全局渐近稳定性。通过遵循分数比较方法，开发了两个不同的新定理，用于分析此类系统，其中状态方程与 0-1 范围内的不同分数阶相关联。基于这些定理，提出了一些新的结果来检验这类系统的渐近稳定性。最后，提供了三个说明性示例，其中表明一些提出的渐近稳定性条件实际上便于分析和控制此类系统。