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    云南民族大學學報(自然科學版)

    2020, v.29;No.121(03) 217-224

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    具有時變時滯的Lur’e系統的新的同步條件
    Novel synchronization conditions for Lur’e systems with time-varying delay

    吳葉繁;熊良林;柳瑩瑩;王珍;
    WU Ye-fan;XIONG Liang-lin;LIU Ying-ying;WANG Zhen;School of Mathematics and Computer Science,Yunnan Minzu University;

    摘要(Abstract):

    對于具有時變時滯的Lur’e系統的主從同步問題,通過構造一個新的增廣李雅普諾夫-克拉索夫斯基泛函(Lyapunov-Krasovskii functional,LKF),結合新的自由矩陣積分不等式、時滯分割技術對該泛函的導數項進行處理,得到使該系統達到同步的新的充分性條件.最后,將所得結論應用到經典的蔡氏電路分2種情況進行分析仿真,驗證所得結果的有效性和優越性.
    This paper investigates the master-slave synchronization problem of Lur'e systems with time-varying delay by using feedback control. With the help of a new augmented Lyapunov-Krasovskii functional(LKF),it uses the effective free-based-matrix integral inequality and the time-delay partition method to process the relevant derivative terms,and obtains some new sufficient conditions which make the related systems synchronized. Then the validity and superiority of the proposed results are illustrated by the classic Chua's circuit in two cases.

    關鍵詞(KeyWords): Lur’e系統;主從同步;時變時滯;增廣李雅普諾夫泛函;自由矩陣不等式
    Lur'e system;master-slave synchronization;time-varying delay;augmented Lyapunov functional;free-based-matrix inequality

    Abstract:

    Keywords:

    基金項目(Foundation): 國家自然科學基金(11601474)

    作者(Author): 吳葉繁;熊良林;柳瑩瑩;王珍;
    WU Ye-fan;XIONG Liang-lin;LIU Ying-ying;WANG Zhen;School of Mathematics and Computer Science,Yunnan Minzu University;

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