2-D奇异系统鲁棒稳定性的状态空间测度

State-space Measures for Stability Robustness for 2-D SRM

考虑具有非结构摄动的 2 D奇异系统Roesser模型 (简称 2 DSRM )鲁棒稳定性的状态空间测度问题。利用其容许、稳定的充要条件及矩阵的奇值分解 ,分析其鲁棒稳定性 ,给出了不破坏 2 D奇异系统稳定的摄动的最大上界。

This paper discusses the problem of state-space measures for stability robustness for linear discrete time 2-D singular Roesser models (2-D SRM) with unstructured perturbations. Through the use of the necessary and sufficient condition for the acceptable and internally stable of 2-D singular Roesser models and the singular value decomposition of matrices, the tightest upper bound for unstructured perturbations that will not cause system instability is provide.