Geodesic
Analysis of distinguishability of linear descriptor control systems using Drazin inverse
Filomat, Tome 37 (2023) no. 22, p. 7455

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DOI

This article aims to provide the equivalent criteria for the distinguishability of linear descriptor systems (LDS). Regularity of the matrix pencil, which, loosely speaking, guarantees the existence, and uniqueness of the solution of LDS for any inhomogeneity, is required in this article. A characterization of observability for LDS in terms of distinguishability is given. The Laplace transform together with the Cayley-Hamilton theorem exploited to derive Hautus-type criteria for the distinguishability. In addition, we present examples of distinguishable systems.
DOI : 10.2298/FIL2322455D
Classification : 15A22, 15A21, 34A09, 34A30
Keywords: Distinguishability, Linear descriptor system, Drazin inverse, Pencil 
Zoubia Dastgeer; Awais Younus. Analysis of distinguishability of linear descriptor control systems using Drazin inverse. Filomat, Tome 37 (2023) no. 22, p. 7455 . doi: 10.2298/FIL2322455D
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     title = {Analysis of distinguishability of linear descriptor control systems using {Drazin} inverse},
     journal = {Filomat},
     pages = {7455 },
     year = {2023},
     volume = {37},
     number = {22},
     doi = {10.2298/FIL2322455D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2322455D/}
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