Title :
Dual algebraic framework for discrete-time nonlinear control systems
Author :
Bartosiewicz, Zbigniew ; Kotta, Ulle ; Moog, C.H. ; Mullari, T. ; Pawluszewicz, Ewa
Author_Institution :
Bialystok Univ. of Technol., Białystok, Poland
Abstract :
An algebraic framework for discrete-time nonlinear control systems is introduced, based on the forward and backward shifts of the vector fields, dual to that based on differential 1-forms. As an application, the accessibility criterion of a control system in terms of vector fields is given and compared to those obtained under more restrictive assumptions.
Keywords :
algebra; discrete time systems; nonlinear control systems; backward shifts; discrete time nonlinear control systems; dual algebraic framework; forward shifts; vector fields; Educational institutions; Equations; Jacobian matrices; Nonlinear control systems; Trajectory; Vectors;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6427106
