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    朱忠言, 陆晓光, 孟敏, 王飞. 时变时滞区间不确定脉冲系统的鲁棒稳定性和H控制[J]. 华东理工大学学报(自然科学版), 2012, (6): 752-756.
    引用本文: 朱忠言, 陆晓光, 孟敏, 王飞. 时变时滞区间不确定脉冲系统的鲁棒稳定性和H控制[J]. 华东理工大学学报(自然科学版), 2012, (6): 752-756.
    ZHU Zhong-yan, LU Xiao-guang, MENG Min, WANG Fei. Robust Stability and HControl of Interval Uncertain Impulsive Systems with TimeVarying Delay[J]. Journal of East China University of Science and Technology, 2012, (6): 752-756.
    Citation: ZHU Zhong-yan, LU Xiao-guang, MENG Min, WANG Fei. Robust Stability and HControl of Interval Uncertain Impulsive Systems with TimeVarying Delay[J]. Journal of East China University of Science and Technology, 2012, (6): 752-756.

    时变时滞区间不确定脉冲系统的鲁棒稳定性和H控制

    Robust Stability and HControl of Interval Uncertain Impulsive Systems with TimeVarying Delay

    • 摘要: 利用Lyapunov泛函和矩阵范数的性质研究了带时变时滞区间不确定脉冲系统的鲁棒稳定、鲁棒镇定和H∞鲁棒控制问题,并以矩阵不等式的情形给出相应的充分条件。在实际应用中,尤其当系统的维数特别大的时候,将区间不确定性转化成一般的范数有界不确定性是比较复杂的,而本文方法利用矩阵范数的性质,只需要知道系统矩阵的上下界。最后给出相应的数值仿真以说明理论结果的实用性。

       

      Abstract: The Lyapunov functional and matrix norm properties are used to investigate the problems of robust stability, stabilization and H∞control for uncertain impulsive systems with timevarying delay, in which the parametric uncertainties are assumed to be interval uncertainties. The sufficient conditions for several stabilities are obtained in terms of linear matrix inequalities. In applications, e.g., for high dimension systems, it is usually difficult to transform the uncertainties into the normbounded uncertainties. In this work, by means of matrix norm properties, only the upper and lower bounds of the system matrices are required. Numerical examples are given to illustrate the applicability of the theoretical results.

       

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