【摘要】 为了研究离散广义系统的平稳振荡，本文利用广义Ｌｙａｐｕｎｏｖ函数方法，给出了一个ｍ周期解存在的充要条件，得出了离散广义系统的周期解的存在性、唯一性、稳定性的有关定理，进而研究具有某种分解的复杂离散广义系统的平稳振荡问题，方法简单易行．更多还原

【Abstract】 In this paper, the method of singular Lyapunov’s function is employed to investigate the harmonic oscillation of discrete singular systems. First of all, a sufficient and necessary condition for existing of m-periodic solution is presented. Secondly by the sufficient and necessary condition, the theories for existing, only, stability of discrete singular system are given. More the problem of harmonic oscillation to discrete singular systems with a type decomposing is studied.更多还原