an:03950296
Zbl 0591.93013
Gauthier, J. P.; Bornard, G.
Existence and uniqueness of minimal realizations for a class of \(C^{\infty}\) systems
EN
SIAM J. Control Optimization 22, 666-670 (1984).
00148982
1984
j
93B20 57R27 93C10 55Q05 37-XX
differential geometry approach; nonlinear control; minimal realizations
This work considers the differential geometry approach for nonlinear control theory. In particular, the authors extend to the noncompact case some results due to \textit{H. J. Sussmann} [see Math. Syst. Theory 10, 263- 284 (1977); J. Differ. Geom. 10, 151-166 (1975; Zbl 0342.58004); Bull. Am. Math. Soc. 80, 573-575 (1974; Zbl 0301.58002)] in the analytic and symmetric cases and to themselves [see Syst. Control Lett. 1, 395-398 (1982; Zbl 0497.93014)] in the compact case. For the nonlinear control theory point of view this enables to state the existence and uniqueness of minimal realizations for a class of \(C^{\infty}\) completely controllable and weakly observable systems.
D.Normand-Cyrot
Zbl 0342.58004; Zbl 0301.58002; Zbl 0497.93014