Abstract The observer construction has a main importance in the control theory and its applications for the systems of infinite dimension. Even if the system’ state has an infinite dimension, its estimation is given using some physical measures of finite dimensions. Considering unbounded boundary observations operators and assuming that the exact observability property holds, we build some Luenberger like observers which assure the exponential stability of the error system under some regularity conditions.

中文翻译：

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无限维斜对称系统的理论观测器

摘要 观测器构造在无限维系统的控制理论及其应用中具有重要意义。即使系统的状态具有无限维数，它的估计也是使用一些有限维数的物理度量给出的。考虑无界边界观测算子并假设精确的可观测性成立，我们构建了一些类似 Luenberger 的观测器，以确保误差系统在某些规律性条件下的指数稳定性。