分数阶Chua ’ s系统的稳定性
분수계Chua ’ s계통적은정성
Sability of Fractional-order Chua ’ s System
  • 万方数据
    绍兴文理学院学报 소흥문이학원학보
    Journal of Shaoxing University
    2015年 8期 1-10 ,共10页

    周益华%俞瑜%郑琛琛%柯云泉

    주익화%유유%정침침%가운천

    Chua’ s系统%分数阶%Mittag-Leffler稳定 Chua’ s繫統%分數階%Mittag-Leffler穩定
    Chua’ s계통%분수계%Mittag-Leffler은정
    Chua’ s system%fractional order%uniform stability%Mittag-Leffler stability
    文章研究分数阶Chua’ s系统的稳定性。利用压缩映射原理和Lyapunov直接法，分别给出系统非平凡解的一致稳定和系统平衡点的Mittag-Leffler稳定的充分条件，最后通过数值例子说明结果的有效性。
    문장연구분수계Chua’ s계통적은정성。이용압축영사원리화Lyapunov직접법，분별급출계통비평범해적일치은정화계통평형점적Mittag-Leffler은정적충분조건，최후통과수치례자설명결과적유효성。
    In this paper investigates the fractional order Chua’ s system. Moreover, some sufficient conditions for uniform stability of the nontrivial solution and Mittag-Leffler stability of the equilibrium points are obtained, by using the contraction mapping princi-ple and Lyapunov direct method, respectively. Finally, numerical examples are given to illustrate the effectiveness of the results.
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