区间矩阵的Hurwitz与Schur鲁棒稳定性检验  

Robust Hurwitz and Schur Stability Test for Interval Matrices

作　　者：肖扬[1] 梁满贵[1] 

机构地区：[1]北方交通大学信息科学研究所,北京100044

出　　处：《电路与系统学报》2000年第3期36-40,共5页Journal of Circuits and Systems

基　　金：国家自然科学基金!(69971002)

摘　　要：提出基于二维面检验的区间矩阵Ｈｕｒｗｉｔｚ与Ｓｃｈｕｒ鲁棒稳定的充分必要条件。证明区间矩阵的Ｈｕｒｗｉｔｚ与Ｓｃｈｕｒ鲁棒稳定性可由其二维表面的稳定性保证。为证明本文区间矩阵的鲁棒稳定性检验的可应用性，给出了实例。The necessary and sufficient conditions for the robust Hurwitz and Schur stability of interval matrices have been established, and the conditions are based on two-dimensional (2-D) face test. We show that the stability of exposed 2-D faces of an interval matrix guarantees stability of the interval matrix. Examples are given to demonstrate the applicability of our robust stability test of interval matrices.

关 键 词：鲁棒稳定性 检验定理 算法 区间矩阵 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]