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Research PaperResearchia:202608.07030

Fault Diagnosis and Prognosis in Partially-Observed Discrete Event Systems with Delayed Observations

Jiwei Wang

Abstract

Fault diagnosis and prognosis in discrete event systems are studied in the scenario where the observations are possibly received with delay. To address this scenario, two conditions for diagnosis and prognosis with delayed observations are proposed, where we show that the state-of-the-art notion of prognosability must be revised to avoid conservativeness. Diagnosability and prognosability conditions are then verified by introducing a delay observer and a new verification function. Theoretical an...

Submitted: August 7, 2026Subjects: Mathematics; Mathematics

Description / Details

Fault diagnosis and prognosis in discrete event systems are studied in the scenario where the observations are possibly received with delay. To address this scenario, two conditions for diagnosis and prognosis with delayed observations are proposed, where we show that the state-of-the-art notion of prognosability must be revised to avoid conservativeness. Diagnosability and prognosability conditions are then verified by introducing a delay observer and a new verification function. Theoretical analysis indicates the effectiveness of the verification method for fault diagnosis and prognosis in the system.


Source: arXiv:2608.06295v1 - http://arxiv.org/abs/2608.06295v1 PDF: https://arxiv.org/pdf/2608.06295v1 Original Link: http://arxiv.org/abs/2608.06295v1

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Date:
Aug 7, 2026
Topic:
Mathematics
Area:
Mathematics
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