Journal Articles IEEE Transactions on Control of Network Systems Year : 2018

Structural and Strongly Structural Input and State Observability of Linear Network Systems

Sebin Gracy
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Federica Garin
Alain Kibangou

Abstract

This paper studies linear network systems affected by multiple unknown inputs with the objective of reconstructing both the initial state and the unknown input with one time-step delay. We state conditions under which both the whole network state and the unknown input can be reconstructed from output measurements, over every window of length N , N being the dimension of the system, for all system matrices that share a common zero/non-zero pattern (uniform N-step strongly structural input and state observability) or at least for almost all system matrices that share a common zero/non-zero pattern (uniform N-step structural input and state observability). Based on some specific assumptions on the structure of the interactions between the unknown input and the network states, we show that such a characterization depends only on strongly structural (resp. structural) observability properties of a suitable subsystem.
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Dates and versions

hal-01663175 , version 1 (13-12-2017)

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Sebin Gracy, Federica Garin, Alain Kibangou. Structural and Strongly Structural Input and State Observability of Linear Network Systems. IEEE Transactions on Control of Network Systems, 2018, 5 (4), pp.2062-2072. ⟨10.1109/TCNS.2017.2782489⟩. ⟨hal-01663175⟩
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