Realizations of linear control systems on time scales

• Autorzy: Bartosiewicz Z. , Pawłuszewicz E.
• Języki publikacji: EN

Abstrakty

EN

Linear constant-coefficients control systems with output on arbitrary time scales are studied. Kalman criteria of controllability and observability are extended to such systems. The main problem is to find criteria for an abstract input/output map to have a realization as a system on the time scale. Two different characterizations of realizability are proved. They extend the classical results obtained for continuous-time and discrete-time systems. Minimal realizations and their uniqueness are also studied.

Słowa kluczowe

EN

time scale; linear control system; realization; controllability; observability; Markov parameters

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2006
• Tom: Vol. 35, no 4
• Strony: 769--786
• Opis fizyczny: Bibliogr 9 poz.

Twórcy

autor

Bartosiewicz Z.

autor

Pawłuszewicz E.

• Institute of Mathematics & Physics, Bialystok Technical University, Zwierzyniecka 14, 15-333 Bialystok, Poland,

Bibliografia

• BARTOSIEWICZ, Z. and PAWLUSZEWICZ, E. (2004a) Linear control systems on time scales: unification of continuous and discrete. In: Proceedings of the 10th IEEE International Conference on Methods and Models in Automation and Robotics MMAR 2004, Międzyzdroje, Poland.
• BARTOSIEWICZ, Z. and PAWLUSZEWICZ, E. (2004b) Unification of continuous-time and discrete-time systems: the linear case. In: Proceedings of Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS2004), Katholieke Universiteit Leuven, Belgium, July 5-9, Leuven.
• BOHNER, M. and PETERSON, A. (2001) Dynamic Equations on Time Scales. Birkhauser.
• BROCKETT, R. (1970) Finite Dimensional Linear Systems. Wiley, New York.
• FAUSETT, L.V. and MURTY, K.N. (2004) Controllability, observability and realizability criteria on time scale dynamical systems. Nonlinear Studies 11 (4).
• HlLGER, S. (1988) Ein Mafikettenkalkümit Anwendung auf Zentrurnsmannig-faltigkeiten. Ph.D. thesis, Universität Würzburg.
• KALMAN, R.E., FALB, P.L. and ARBIB, M.A. (1969) Topics in Mathematical System Theory. McGraw-Hill, New York.
• MIDDLETON, R.H. and GOODWIN, G.C. (1990) Digital Control and Estimation: A Unified Approach. Prentice Hall, Englewood Cliffs, New Jersey.
• SONTAG, E. (1990) Mathematical Control Theory. Springer-Verlag, New York.