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附录A19 定理1的证明20 证明:21 令 λ i 是广义特征值问题( S , E )的一个广义特征值, φ i , ψ i 为其对应的右左特征向量,22 则有23 (A1)24 (A2)25 代入式(10)得26 (A3)27 (A4)28 得到29 (A5)30 (A6)31 由 D 可逆,可得32 (A7)33 (A8)34 消去和得35 (A9)36 (A10)37 即 λ i 也为系统状态矩阵 A s 的一个特征值,且和为其对应的左右特征向量。38 定理得证。39 表A1 IEEE-118系统各节点与各慢同调群的相关度