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Journal articles
Approximation of linear distributed parameter systems by delay systems
Abstract : The present work addresses continuous-time approximation of distributed parameter systems governed by linear one-dimensional partial differential equations. While approximation is usually realized by lumped systems, that is finite dimensional systems, we propose to approximate the plant by a time-delay system. Within the graph topology, we prove that, if the plant admits a coprime factorization in the algebra of BIBO-stable systems, any linear distributed parameter plant can be approximated by a time-delay system, governed by coupled differential–difference equations. Considerations on stabilization and state- space realization are carried out. A numerical method for constructive approximation is also proposed and illustrated.
Cited literature [38 references]
https://hal.archives-ouvertes.fr/hal-01281589
Contributor : Michaël Di Loreto <>
Submitted on : Wednesday, April 24, 2019 - 5:19:13 PM
Last modification on : Tuesday, January 5, 2021 - 12:32:03 PM
Contributor : Michaël Di Loreto <>
Submitted on : Wednesday, April 24, 2019 - 5:19:13 PM
Last modification on : Tuesday, January 5, 2021 - 12:32:03 PM
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