Realization theory of infinite-dimensional linear systems. Part I
Realization theory of infinite-dimensional linear systems. Part I
复制标题
无限维线性系统的实现理论。
DOI：
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发表时间：
2005
期刊：
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通讯作者：
Y. Yamamoto
中科院分区：
文献类型：
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作者：
Y. Yamamoto
本文讨论了无穷维常数线性连续时间系统的实现问题。介绍了一种适合于处理这一问题的框架，包括输入/输出映射、系统、加权模式等的定义，并证明了规范实现的存在唯一性定理。中心重点放在引入一个新的可观性概念，称为拓扑可观测性。
This paper deals with the problem of realization of infinitedimensional constant linear continuous-time systems. A framework, suitable for treating this problem, is introduced, including the definitions of input/output maps, systems, weighting patterns, etc. The theorem of the existence and uniqueness of canonical realizations is then proved. Central emphasis is placed on the introduction of a new notion of observability, called topological observability.