Remarks on the observability of nonlinear discrete time systems

Remarks on the observability of nonlinear discrete time systems
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关于非线性离散时间系统可观性的评述

DOI:
10.1007/978-0-387-34897-1_16
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发表时间:
1996
期刊:
影响因子:
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通讯作者:
D. D’Alessandro
D. D’Alessandro
中科院分区:
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文献类型:
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作者:
F. Albertini;D. D’Alessandro

文献摘要

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研究了离散时间非线性系统的能观性问题。用共分布的形式给出了可观测性判据。这自然会导致类似于连续时间案例中已知的分解。还研究了可逆系统的一些能观性。特别地,在正则性假设下,对于这些系统,较弱的前向-后向能观性概念与(前)能观性概念是等价的。
The observability of discrete time nonlinear systems is studied. Criteria of observability are given in terms of codistributions. This leads naturally to decompositions similar to the ones known in the continuous time case. Some observability properties of invertible systems are also investigated. In particular, it is shown that, under regularity hypotheses, the weaker notion of forward-backward observability is equivalent to the one of (forward) observability, for these systems.