分数阶非线性系统Mittag-Leffler稳定性研究进展

Recent Developments of Mittag-Leffler Stabilization for Fractional Order of Nonlinear Systems

随着分数阶微积分相关理论的发展及其在各领域的广泛应用,分数阶非线性系统的稳定性问题也备受人们的关注。分析了稳定性在非线性系统性能分析中的重要性,系统阐述了分数阶非线性系统MittagLeffler稳定性方面的相关研究进展。最后,给出MittagLeffler意义下分数阶非线性系统稳定性的研究展望。

With the development of fractional calculus related theory and its wide application in various fields,the stability analysis of fractional order nonlinear systems has attracted much attention.The importance of the stability of fractional order nonlinear systems in the performance analysis of the system is briefly analyzed.The progress in the research on the stability of the fractional order nonlinear system MittagLeffler is briefly described.Finally,the research prospect of the stability of the fractional order nonlinear system under the MittagLeffler sense is given.