Title :
State realization of nonlinear systems described by input-output difference equations
Author_Institution :
George W. Woodruff Sch. of Mech. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
We consider a general class of nonlinear discrete-time systems described by their input-output relationship. We first present the necessary and sufficient conditions for existence of a local observable state-space realization of the system and an explicit algorithm for computing it. We also formulate an algorithm for extracting its minimal realization whenever possible
Keywords :
controllability; difference equations; discrete time systems; nonlinear control systems; observability; realisation theory; state-space methods; input-output difference equations; local observable state-space realization; minimal realization; necessary and sufficient conditions; nonlinear discrete-time systems; Autoregressive processes; Bridges; Data mining; Difference equations; Feedforward neural networks; Mechanical engineering; Neural networks; Nonlinear systems; Stability analysis; State feedback;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.703194
