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Realizations of Nonlinear Control Systems on Time Scales

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2 Author(s)
Zbigniew Bartosiewicz ; Fac. of Comput. Sci., Bialystok Tech. Univ., Bialystok ; Ewa Pawluszewicz

Nonlinear partially defined systems on an arbitrary unbounded time scale are studied. They include continuous-time and discrete-time systems. The main problem is to find necessary and sufficient conditions for an abstract input/output map to have a realization as a nonlinear system of a specific class on the time scale. The obtained results extend criteria of realizability of continuous-time polynomial systems. A simple construction of a realization is provided.

Published in:

IEEE Transactions on Automatic Control  (Volume:53 ,  Issue: 2 )