2-D control theory in gas transport network modeling

Dymkou, S.; Jank, Gerhard

doi:10.1109/nds.2005.195361

Cited by 2 publications

(3 citation statements)

References 2 publications

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“…Theorem 3.2: Consider a well-posed and topologically detectable LDM described by (3), with its equivalent representation (H(z), E) as in (9), its associated LDG G, topology G T and satisfying Assumption 1. Consider any distinct vertices i and j in G T be such that,…”

Section: B Pruning the Spurious Edges In Moral Graphmentioning

confidence: 99%

“…Theorem 3.4: Consider a well-posed and topologically detectable LDM described by (3), with its equivalent representation (H(z), E) as in (9), with its associated LDG G and topology G T . Suppose, for all nodes…”

Section: Relaxing Assumptionmentioning

confidence: 99%

“…Network representations often form an integral part in modeling the behavior of complex systems; examples include power grids [1], water and gas distribution systems [2], [3], thermal management systems [4], neuronal networks in the brain [5], climate network [6], social network [7] and the finance network [8]. Network representations constitute multiple agents which interact among each other constrained by a graph topology.…”

Section: Introductionmentioning

confidence: 99%

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Exact Topology Learning in a Network of Cyclostationary Processes

Doddi

Talukdar

Deka

et al. 2019

2019 American Control Conference (ACC)

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Learning the structure of a network from timeseries data, in particular cyclostationary data, is of significant interest in many disciplines such as power grids, biology, finance. In this article, an algorithm is presented for reconstruction of the topology of a network of cyclostationary processes. To the best of our knowledge, this is the first work to guarantee exact recovery without any assumptions on the underlying structure. The method is based on a lifting technique by which cyclostationary processes are mapped to vector wide sense stationary processes and further on semi-definite properties of matrix Wiener filters for the said processes. We demonstrate the performance of the proposed algorithm on a Resistor-Capacitor network and present the accuracy of reconstruction for varying sample sizes.

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Section: B Pruning the Spurious Edges In Moral Graphmentioning

confidence: 99%

Section: Relaxing Assumptionmentioning

confidence: 99%