Discrete mode observability of structured switching descriptor linear systems: A graph-theoretic approach

Boukhobza, Taha; Hamelin, Frédéric

doi:10.1016/j.automatica.2013.06.006

Cited by 7 publications

(5 citation statements)

References 10 publications

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“…Later, they generalize these conditions to linear time-invariant switching descriptor systems . In Boukhobza and Hamelin (2013), the authors present necessary and sufficient graphical conditions which ensure the generic discrete mode observability of structural switching descriptor systems. They generate a new approach that builds a new type of digraph dedicated to the discrete mode observability study.…”

Section: Linear Time-invariant Switching Systemsmentioning

confidence: 99%

An overview of structural systems theory

2022

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Section: Linear Time-invariant Switching Systemsmentioning

confidence: 99%

An overview of structural systems theory

2022

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“…In [170,171] the authors proposed conditions for sensor placement in linear time-invariant switching systems with unknown inputs. Later, they generalized these conditions to linear time-invariant switching descriptor systems [172,173].…”

Section: Linear Time-invariant Switching Systemsmentioning

confidence: 99%

Structural Systems Theory: an overview of the last 15 years

Ramos,

Aguiar,

Pequito

2020

Preprint

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In this paper, we provide an overview of the research conducted in the context of structural systems since the latest survey by Dion et al. in 2003. We systematically consider all the papers that cite this survey as well as the seminal work in this field that took place on and after the publication of the later survey, are published in peer-reviewed venues and in English.Structural systems theory deals with parametric systems where parameters might be unknown and, therefore, addresses the study of systems properties that depend only on the systems structure (or topology) described by the interdependencies between state variables. Remarkably, structural systems properties hold generically (i.e., almost always) under the assumption that parameters are independent. Therefore, it constitutes an approach to assess necessary conditions that systems should satisfy.In recent years, structural systems theory was applied to design systems that attain such properties, as well as to endure resilient/security and privacy $

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“…The aim of this decomposition is to simplify the digraph of the system and to reduce it to its useful part for the identifiability study. This decomposition is also used the observability context (van der Woude 1999, Boukhobza et al 2007, Boukhobza andHamelin 2013). Mainly, due to the presence of unknown inputs in the systems, from the observability point of view, any system can be divided into three parts: under-determined part, exactly-determined part and over-determined part.…”

Section: Preliminaries and Specific Definitionsmentioning

confidence: 99%

A graph theoretical approach to the parameters identifiability characterisation

Boukhobza¹,

Hamelin²,

Simon³

2013

International Journal of Control

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This paper is devoted to the generic parameters identifiability analysis for structured linear systems with unknown inputs. The proposed method is based on a graph-theoretic approach and assumes only the knowledge of the system's structure. Necessary and sufficient conditions are expressed in graphical terms which ensure that a given set of unknown parameters characterizing the model of the system are structurally identifiable using the available measurements, assuming that the inputs and initial conditions are quite informative. Even if we are not interested in proposing identification schemes, these given conditions are necessary and sufficient to the parameter identification whatever the used algorithms to determine numerically the parameters values. Finally, note that the given conditions are quite easy to check because they are based on searching and comparing some specific paths and cycles in a digraph. This makes our approach well suited to study large scale systems.

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Discrete mode observability of structured switching descriptor linear systems: A graph-theoretic approach

Cited by 7 publications

References 10 publications

An overview of structural systems theory

An overview of structural systems theory

Structural Systems Theory: an overview of the last 15 years

A graph theoretical approach to the parameters identifiability characterisation

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