Title :
Irreducibility and reduction of nonlinear control systems: Unification and extension via pseudo-linear algebra
Author :
Kotta, Ü ; Kotta, P. ; Halás, M.
Author_Institution :
Inst. of Cybernetcs at TUT, Tallinn
Abstract :
The paper applies the pseudo-linear algebra to unify the study of irreducibility and reduction for continuous-and discrete-time nonlinear control systems. The necessary and sufficient condition for irreducibility of nonlinear input-output equation is presented in terms of the common left factor of two polynomials describing the behaviour of the system. Besides unification, the tools of pseudo-linear algebra allow to extend the results for systems defined by difference, q-shift and q-difference operators.
Keywords :
continuous time systems; discrete time systems; linear algebra; nonlinear control systems; polynomials; continuous-time nonlinear control system; discrete-time nonlinear control system; irreducibility; nonlinear input-output equation; polynomial; pseudo-linear algebra; system behaviour; Algebra; Automatic control; Control systems; Nonlinear control systems; Nonlinear equations; Polynomials; Robot control; Robot vision systems; Robotics and automation; Service robots; Nonlinear control system; input-output models; irreducibility; pseudo-linear algebra;
Conference_Titel :
Control, Automation, Robotics and Vision, 2008. ICARCV 2008. 10th International Conference on
Conference_Location :
Hanoi
Print_ISBN :
978-1-4244-2286-9
Electronic_ISBN :
978-1-4244-2287-6
DOI :
10.1109/ICARCV.2008.4795662
