广义控制系统在两种尺度意义下的稳定性

Stability of General Control Systems in Terms of Two Measures

本文将两尺度稳定性理论引入广义控制系统（即集值动力系统）；并用类Ｌｉａｐｕｎｏｖ函数给出（ｈ０，ｈ）－（弱）稳定和（ｈ０，ｈ）－渐近稳定的充要条件．这些准则推广了关于广义控制系统和两尺度稳定性的已有结果，使我们能在一个统一的框架内研究广义控制系统稳定性．

Concepts of stability in terms of two measurest,such as (h0, h)-stability,(h0,h)-weak stability and (h0,h)-asymptotic stability,are introduced for general control systems.Necessary and sufficient conditions for them are given respectively, using Liapunov-like functions in this paper.