连续广义大系统的稳定性与关联参数域

Continuous Singular Large-scale Stability of the System Parameters and the Associated Domain

研究了线性连续广义大系统稳定性与其孤立子系统的稳定性之间的关系。利用广义Lyapunov方程,应用Lyapunov函数理论和广义系统分解理论,得到了在孤立子系统都正则、脉冲自由且稳定的条件下,广义大系统也是稳定的充分条件。并给出了相应的稳定关联参数域和不稳定域。本文的结果揭示了连续广义大系统的稳定性与其孤立子系统的稳定性之间的内在联系(脉冲自由,无脉冲和无脉冲膜它们的意思不一样,不能替换)。

The stability of linear continuous systems with singular large-scale isolation of the relationship between the stability of the subsystem is studied. First, using generalized Lyapunov equation, Lyapunov function theory and the generalized application of system decomposition theory, the isolated subsystems in a regular, impulse free and stable （unstable） conditions, the singular large-scale system is also stable （unstable） a sufficient condition for. And the corresponding parameters are given associated with the domain of stability and instability in the domain. A stability of the continuous generalized large-scale system and its people isolated subsystem are revealed.The intrinsic link is revealed.