TY - JOUR
T1 - Homogeneous polynomial forms for simultaneous stabilizability of families of linear control systems: a tensor product approach
JF - IEEE Trans. Automat. Control 51 (2006) 1566-1571
Y1 - 2006
A1 - Claudio Altafini
AB - The paper uses the formalism of tensor products in order to deal with the problem of simultaneous\\nstabilizability of a family of linear control systems by means of Lyapunov functions which are homogeneous polynomial forms. While the feedback synthesis seems to be nonconvex, the simultaneous stability by means of homogeneous polynomial forms of the uncontrollable modes yields (convex) necessary but not sufficient conditions for simultaneous stabilizability.
UR - http://hdl.handle.net/1963/2226
U1 - 2018
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -