an:03993378
Zbl 0613.93008
Helmke, Uwe
The topology of a moduli space for linear dynamical systems
EN
Comment. Math. Helv. 60, 630-655 (1985).
00150348
1985
j
93B10 54H20 93C05 14J10 93B05 93B20 93B25
moduli spaces of linear control systems
The author studies the quotient space obtained by acting on the set of all linear systems without outputs, of a fixed dimension and number of controls, by change of basis in the state-space. In particular, he establishes that the mod 2 Betti numbers of these spaces coincide with those of certain Grassmannians. Some results had been obtained earlier for systems over the complex numbers; here the treatment applies over the reals. The paper is very well-written and provides an excellent introduction to the area.
E.Sontag