Title :
Homogeneous Polynomial Forms for Simultaneous Stabilizability of Families of Linear Control Systems: a Tensor Product Approach
Author :
Altafini, Claudio
Author_Institution :
Int. Sch. for Adv. Studies, Trieste
Abstract :
The paper uses the formalism of tensor products in order to deal with the problem of simultaneous stabilizability 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
Keywords :
Lyapunov methods; control system synthesis; control systems; feedback; stability; tensors; Lyapunov functions; feedback synthesis; homogeneous polynomial forms; linear control systems; simultaneous stabilizability; tensor product approach; uncontrollable modes; Control systems; Feedback; Linear systems; Lyapunov method; Polynomials; Robust stability; State-space methods; Sufficient conditions; Symmetric matrices; Tensile stress;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377110
