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Distinguishability of discrete-time linear systems
Daniel Silvestre1,2; Paulo Rosa3; Carlos Silvestre1,2
2021-03
Source PublicationInternational Journal of Robust and Nonlinear Control
ISSN1049-8923
Volume31Issue:5Pages:1452-1478
Abstract

This article introduces the notion of absolutely distinguishable discrete-time dynamic systems, with particular applicability to linear time-invariant and linear parameter-varying systems. The motivation for this novel type of distinguishability stems, in particular, from the stability and performance requirements of worst-case adaptive control methodologies. The main results presented herein show that, in most practical cases, a persistence of excitation type of condition and a minimum number of iterations are required to properly distinguish two dynamic systems. We also demonstrate that the former constraint can be written as a lower bound on the intensity of the exogenous disturbances. The applicability of the developed theory is illustrated with a set of examples.

KeywordIdentifiability Parameter Identification Uncertain Linear Systems
DOI10.1002/rnc.5367
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS IDWOS:000600259700001
PublisherWILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA
Scopus ID2-s2.0-85097798851
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Citation statistics
Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING
Corresponding AuthorDaniel Silvestre
Affiliation1.Department of Electrical and ComputerEngineering, Faculty of Science and Technology, University of Macau, Macau, China
2.Institute for Systems and Robotics,Instituto Superior Técnico, Universidadede Lisboa, Lisboa, Portugal
3.Deimos Engenharia, Lisbon, Portugal
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Daniel Silvestre,Paulo Rosa,Carlos Silvestre. Distinguishability of discrete-time linear systems[J]. International Journal of Robust and Nonlinear Control,2021,31(5):1452-1478.
APA Daniel Silvestre,Paulo Rosa,&Carlos Silvestre.(2021).Distinguishability of discrete-time linear systems.International Journal of Robust and Nonlinear Control,31(5),1452-1478.
MLA Daniel Silvestre,et al."Distinguishability of discrete-time linear systems".International Journal of Robust and Nonlinear Control 31.5(2021):1452-1478.
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