In this paper, algebraic tests are proposed to establish asymptotic stability of parametric linear systems assuming that the parameters lie in a given variety. In particular, by using tools borrowed from algebraic geometry, necessary and sufficient condition are proposed to test whether a continuous-time or a discrete-time linear parametric system is asymptotically stable for all the specializations belonging to a given variety. Both the cases of zero dimensional and non-zero dimensional varieties are considered.
Menini, L., Possieri, C., Tornambe', A. (2020). Algebraic tests for the asymptotic stability of parametric linear systems. In IFAC-PapersOnLine (pp.4434-4439). RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS : Elsevier B.V. [10.1016/j.ifacol.2020.12.394].
Algebraic tests for the asymptotic stability of parametric linear systems
Menini L.;Possieri C.;Tornambe' A.
2020-01-01
Abstract
In this paper, algebraic tests are proposed to establish asymptotic stability of parametric linear systems assuming that the parameters lie in a given variety. In particular, by using tools borrowed from algebraic geometry, necessary and sufficient condition are proposed to test whether a continuous-time or a discrete-time linear parametric system is asymptotically stable for all the specializations belonging to a given variety. Both the cases of zero dimensional and non-zero dimensional varieties are considered.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
