DocumentCode
2464497
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
fYear
2006
fDate
13-15 Dec. 2006
Firstpage
1381
Lastpage
1386
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2006 45th IEEE Conference on
Conference_Location
San Diego, CA
Print_ISBN
1-4244-0171-2
Type
conf
DOI
10.1109/CDC.2006.377110
Filename
4177062
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