Reachability, controllability to zero and observability of the positive discrete-time Lyapunov systems

• Autorzy: Kaczorek T. , Przyborowski P.
• Języki publikacji: EN

Abstrakty

EN

The new necessary and sufficient conditions for the reachability, controllability to zero and observability of the positive discrete-time Lyapunov systems are established. The notion of the dual positive Lyapunov system is introduced and the relationship between the reachability and observability are given. The considerations are illustrated with numerical examples.

Słowa kluczowe

EN

reachability; controllability to zero; observability; Lyapunov systems

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2009
• Tom: Vol. 38, no 2
• Strony: 529--541
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Kaczorek T.

autor

Przyborowski P.

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

Bibliografia

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• FARINA, L. and RINALDI, S. (2000) Positive Linear Systems. Theory and Applications, J. Wiley, New York.
• KACZOREK, T. (1998) Vectors and Matrices in Automation and Electrotechnics. Wydawnictwo Naukowo-Techniczne, Warszawa (in Polish).
• KACZOREK, T. (2001) Positive ID and 2D Systems, Springer Verlag, London.
• KACZOREK, T. (2004) Realization problem for positive discrete-time systems with delay. System Science 30 (4), 117-130.
• KACZOREK, T. (2006a) Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs. Int. J. Appl. Math. Comp. Sci. 16 (2), 101-106.
• KACZOREK, T. (2006b) A realization problem for positive continuous-time systems with reduced number of delays. Int. J. Appl. Math. Comp. Sci. 16 (3), 101-117.
• KACZOREK, T. (2007a) New reachability and observability tests for positive linear discrete-time systems. Bull. Pol. Acad. Sci. Techn. 55 (1).
• KACZOREK, T. (2007b) Positive discrete-time linear Lyapunov systems. Submitted to The 15th Mediterranean Conference of Control and Automation - MED, 27-29 June, Athens.
• KACZOREK, T. and BUSLOWICZ, M. (2004) Minimal realization problem for positive multivariable linear systems with delay. Int. J. Appl. Math. Comp, Sci. 14 (2), 181-187.
• KACZOREK, T. and PRZYBOROWSKI, P. (2007a) Positive continuous-time linear Lyapunov systems. In: Proc. of the International Conference on Computer as a Tool EUROCON, 9-12 September, Warsaw.
• KACZOREK, T. and PRZYBOROWSKI, P. (2007b) Continuous-time linear Lyapunov cone-systems. In: Proc. of the 13th IEEE IFAC International Conference on Methods and Models in Automation and Robotics, 27-30 August, Szczecin - Poland.
• KACZOREK, T. and PRZYBOROWSKI, P. (2007c) Positive continuous-time linear time-varying Lyapunov systems. In Proc. of the XVI International Conference on Systems Science, 4-6 September, Wroclaw - Poland.
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