【摘要】 本文利用大系统分解理论来研究时变大系统之平稳振荡问题。首先通过构造一个特殊的函数,将一个微分大系统的有界性问题转化为一个代数不等的求解问题,由此得出用期解之存在性。然后,由上极限理论对大系统之非常稳定性进行研究,由此导出周期之唯一性。更多还原

【Abstract】 The large scale system′s decomposition theory is used to study the harmonic oscillation problem of this system. By building a specific function, a differential large scale system′s bound is transformed into an algebra inequality and the per-io dic solution is obtained from it. Secondly, extreme stability of large scale system is studied by upper limit. In the end of the paper, uniqneuess of periodic solution is derived.更多还原