In this paper equivalent conditions for exact observability of diagonal systems with a finite-dimensional output operator are given. One of these equivalent conditions is the conjecture of Russell and Weiss (SIAM J. Control Opt. 32(1) (1994) 1-23). The other conditions are in terms of the eigenvalues and the Lyapunov solutions of finite-dimensional subsystems. (C) 2001 Elsevier Science B.V. All rights reserved. [References: 18]
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机译：本文给出了具有有限维输出算子的对角线系统精确可观性的等效条件。这些等效条件之一是Russell和Weiss的猜想（SIAM J. Control Opt。32（1）（1994）1-23）。其他条件取决于特征值和有限维子系统的Lyapunov解。 （C）2001 Elsevier Science B.V.保留所有权利。 [参考：18]
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