多组时滞中立型线性大型控制系统的镇定分解

Stabilizing Decomposition of Neutral Type Linear Large Scale Control Systems with Multi-Group Delays

通过引进一些参数，利用Ｌｙａｐｕｎｏｖ分解等价法给出了由不带时滞的线性定常孤立控制子系统的渐近稳定性推出多组时滞中立型线性定常大型控制系统的渐近稳定性，并且说明了这个结果可以推广到中立型线性时变大型控制系统中去．由参数镇定域的比较知，所得结果使参数镇定域扩大为原来的４．５倍．

A sufficient condition is given,which ensures that the asymptotic stability of linear time-invarying isolated control subsystems without time-delays implies the asymptotic stability of neutral type linear time-invarying large scale control systems withmulti-group time-delays under certain conditions by using Lyapunov decomposition equivalence method and introducing some parameters. And it is explained that the results can be extended to neutral type linear time-varying large scale control systems with multi-group time-delays thus previous results are improved. By the comparison of parameter stabilization region,the result is obtained,which makes parameter stabilization region be expanded to 4. 5 times as large as the original one.