【摘要】 通过矩阵理论和测度论的知识给出线性时不变系统几乎全局稳定的充分必要条件,即系数矩阵为Hurwitz矩阵.这种弱稳定性的概念是在测度意义下诞生的,可以应用到李雅普诺夫定理不能应用到的地方.更多还原

【Abstract】 In this work we through the acknowledge of matrix theory and measure theory to prove the sufficient and necessary condition for almost global stability of linear time-invariant system,that A is Hurwitz matrix the weaker notion of stability allows for application also in situations where Lyapunov’s theorem cannot be used.更多还原