Reachability and minimum energy control of positive 2D systems with delays

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

The notion of internally positive 2D model (system) with delays is introduced. Solution of the 2D linear models with delays is derived. Necessary and sufficient conditions for the internal positivity and reachability of the models are established. The Cayley-Hamilton theorem for the 2D linear models with delays is extended. The minimum energy control for the internally positive 2D models with delays is formulated and solved.

Słowa kluczowe

EN

2D positive system; delay; reachability; solution; minimum energy control

PL

układ dwuwymiarowy; rozwiązanie; opóźnienie; osiągalność

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2005
• Tom: Vol. 34, no 2
• Strony: 411--423
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Kaczorek T.

• Warsaw University of Technology, Institute of Control and Industrial Electronics, 02-662 Warsaw, Koszykowa 75, Poland,

Bibliografia

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• Xie, G. L. and Wang, L. (2003) Reachability and controllability of positive linear discrete-time systems with the time-delays. In: L. Benvenuti, A. De Santi and L. Farina eds., Positive Systems, LNCSI 294, Springer-Verlag, Berlin, Heidelberg, 377–384.