Controllability, reachability and minimum energy control of fractional discrete-time linear systems with multiple delays in state

• Autorzy: Busłowicz M.

Identyfikatory

DOI

10.2478/bpasts-2014-0023

• Języki publikacji: EN

Abstrakty

EN

In the paper the problems of controllability, reachability and minimum energy control of a fractional discrete-time linear system with delays in state are addressed. A general form of solution of the state equation of the system is given and necessary and sufficient conditions for controllability, reachability and minimum energy control are established. The problems are considered for systems with unbounded and bounded inputs. The considerations are illustrated by numerical examples. Influence of a value of the fractional order on an optimal value of the performance index of the minimum energy control is examined on an example.

Słowa kluczowe

EN

linear systems; fractional; discrete-time; time-delay; controllability; reachability; minimum energy control

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2014
• Tom: Vol. 62, nr 2
• Strony: 233--239
• Opis fizyczny: Bibliogr. 35 poz., wykr.

Twórcy

autor

Busłowicz M.

• Faculty of Electrical Engineering, Bialystok University of Technology, 45D Wiejska St., 15-351 Bialystok, Poland

Bibliografia

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