Pointwise completeness and pointwise degeneracy of linear continuous-time fractional order systems

• Autorzy: Kaczorek T. , Busłowicz M.
• Języki publikacji: EN

Abstrakty

EN

A dynamical system described by homogeneous equation is called pointwise complete if every final state can be reached by suitable choice of the initial state. The system which is not pointwise complete is called pointwise degenerated. Definitions and necessary and sufficient conditions for the pointwise completeness and the pointwise degeneracy of continuous-time linear systems of fractional order, standard and positive, are given. It is shown that: 1) the standard fractional system is always pointwise complete; 2) the positive fractional system is pointwise complete if and only if the state matrix is diagonal.

Słowa kluczowe

EN

linear system; fractional; continuous-time; positive; pointwise completeness

• Wydawca: Łukasiewicz Industrial Research Institute for Automation and Measurements PIAP
• Czasopismo: Journal of Automation Mobile Robotics and Intelligent Systems
• Rocznik: 2009
• Tom: Vol. 3, No. 1
• Strony: 8--11
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Kaczorek T.

autor

Busłowicz M.

• Professor at Białystok Technical University, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Białystok, Poland,

Bibliografia

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