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Abstract

In the paper positive fractional continuous-time linear systems are considered. Positive fractional systems without delays and positive fractional systems with a single delay in control are studied. New criteria for approximate and exact controllability of systems without delays as well as a relative controllability criterion of systems with delay are established and proved. Numerical examples are presented for different controllability criteria. A practical application is proposed.
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Authors and Affiliations

Beata Sikora
1
ORCID: ORCID
Nikola Matlok
1

  1. Department of Applied Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland
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Abstract

Until now Eocene chimeroid holocephalians of Antarctica have been known from only a few specimens attributed to two species from the Eocene of Seymour Island. New material collected by Polish and English field parties includes numerous tooth plates and fin spine fragments from the Eocene La Meseta Formation. We describe a new species, Callorhinchus stahli, based on two mandibular and a single fragmentary palatine tooth plate. In addition, the stratigraphic distribution and diversity of Eocene Antarctic chimeroids is discussed. The chimeroid Ischyodus shows the greatest stratigraphic distribution with its greatest abundance in the middle parts of the La Meseta Formation while Chimaera and Callorhinchus are restricted to the lower ones. Changes in the environment and habitat availability most probably triggered the distributional pattern and the disappearance of chimeroids.

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Authors and Affiliations

Jürgen Kriwet
Andrzej Gadzicki

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