摘要
基于第2类Fornasini-Machesini模型,研究离散区间2-D系统鲁棒稳定的问题.引入区间不确定性,建立离散区间2-D系统数学模型,根据2-D系统渐近稳定的一种Lyapunov不等式判据和一个对称区间矩阵正定性引理,给出离散区间2-D系统鲁棒稳定的一个充分条件,并通过数值算例表明所给出的离散区间2-D系统鲁棒稳定的充分条件是有效的.
The problem of robust stability of discrete interval 2-D systems described by the second Fornaini-Machesini model is studied. By introducing interval uncertainty, a mathematical model of discrete interval 2-D systems is established.According to a kind of Lyapunov inequality criterion of 2-D systems and a positive definite lemma of a symmetric interval matrix, a sufficient condition for robust stability of the discrete interval 2-D systems is given. A numerical example shows the effectiveness of the sufficient condition for the robust stability of the 2-D systems.
引文
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