摘要
This paper investigates the problem of stability analysis for a class of incommensurate nabla fractional order systems.In particular,both Caputo definition and Riemann-Liouville definition are under consideration.With the convex assumption,several elementary fractional difference inequalities on Lyapunov functions are developed.According to the essential features of nabla fractional calculus,the sufficient conditions are given first to guarantee the asymptotic stability for the incommensurate system by using the direct Lyapunov method.To substantiate the efficacy and effectiveness of the theoretical results,four examples are elaborated.
基金
supported by the National Natural Science Foundation of China under Grant No.62273092
the Science Climbing Project under Grant No.4307012166
the Anhui Provincial Natural Science Foundation under Grant No.1708085QF141
the Fundamental Research Funds for the Central Universities under Grant No.WK2100100028
the General Financial Grant from the China Postdoctoral Science Foundation under Grant No.2016M602032
the fund of China Scholarship Council under Grant No.201806345002。
