摘要
基于一种非线性的幂变换,将区间矩阵的鲁棒稳定性问题转化成相应参数矩阵的非奇异性问题,并结合Gershgorin圆盘定理,得到了保证系统鲁棒稳定的充分条件。该判据对矩阵元素没有任何附加要求,简单而且实用。最后通过实例论证了所给判据的有效性。
Based on a nonlinear power transformation, the robust stability problem of interval matrices has been transformed into a nonsigularity problem of a family of parametric matrices and then via the Gershgorin's discus, some sufficient conditions for the robust stability of the system matrices are derived. These conditions do not impose any requirements on the elements of the system matrices and thus are simple and effective. In final, examples are given to demonstrate the effectiveness of the proposed method.
出处
《控制与决策》
EI
CSCD
北大核心
1997年第3期264-268,共5页
Control and Decision
