Title :
Necessary & sufficient conditions for the minimal state-space realisation of nonlinear systems from input-output information
Author :
Leith, D.J. ; Leithead, W.E.
Author_Institution :
Inst. of Hamilton, Nat. Univ. of Ireland, Maynooth, Ireland
Abstract :
In this note we present an easily verified condition for determining a minimal state space realisation of a class of nonlinear systems using transfer function (input-output) formation only. This result has important implications for systems theory. Examples are given to demonstrate the power of this result.
Keywords :
nonlinear control systems; realisation theory; state-space methods; transfer functions; input-output information; minimal state space realisation; necessary condition; nonlinear system; sufficient condition; systems theory; transfer function; Linear systems; Nonlinear dynamical systems; Nonlinear systems; Power system modeling; State-space methods; Sufficient conditions; Transfer functions; Vectors; Vehicle dynamics; Vehicles;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1243771
