Title :
Realizations of Nonlinear Control Systems on Time Scales
Author :
Bartosiewicz, Zbigniew ; Pawluszewicz, Ewa
Author_Institution :
Fac. of Comput. Sci., Bialystok Tech. Univ., Bialystok
fDate :
3/1/2008 12:00:00 AM
Abstract :
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.
Keywords :
continuous time systems; discrete time systems; nonlinear control systems; realisation theory; arbitrary unbounded time scale; continuous-time polynomial systems; discrete-time systems; nonlinear control systems; nonlinear partially defined systems; Algebra; Calculus; Control systems; Difference equations; Integral equations; Linear systems; Nonlinear control systems; Nonlinear systems; Polynomials; Sufficient conditions; Nonlinear system; realization; time scale;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.914243
