| Lyapunov Stability Analysis for Incommensurate Nabla Fractional Order Systems |
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| 作者姓名： | WEI Yiheng ZHAO Xuan WEI Yingdong CHEN Yangquan |
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| 作者单位： | 1. School of Mathematics, Southeast University;2. Department of Automation, University of Science and Technology of China;3. School of Engineering, University of California |
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| 基金项目： | supported by the National Natural Science Foundation of China under Grant No. 62273092；;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； |
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| 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 incommensura...
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