【摘要】 本文研究了一类具有时变时滞的非线性分数阶退化微分系统的有限时间稳定性问题.首先通过退化微分系统理论得到了系统正则无脉冲的充分性条件.在此基础上通过建立Lyapunov泛函,并利用广义Gronwall不等式和线性矩阵不等式方法给出了含有时变时滞因素的分数阶退化微分系统的有限时间稳定性判据.最后给出具体的算例验证了定理条件的有效性.更多还原

【Abstract】 Finite-time stability problem of nonlinear fractional singular system with time-varying delay is studied in this paper.First,the sufficient conditions for the systems to be regular and impulse-free are obtained by using singular system theory.On this basis,by constructing Lyapunov function,the finite-time stability criterions for fractional singular differential system with time-varying delay factor are derived via the generalized Gronwall inequality and linear matrix inequality method.Finally,a numerical examples is given to verify the validity of the theorem conditions.更多还原