DocumentCode
1213975
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, SISSA-ISAS, Trieste
Volume
51
Issue
9
fYear
2006
Firstpage
1566
Lastpage
1571
Abstract
This note 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; feedback; linear systems; polynomials; stability; tensors; Lyapunov functions; feedback synthesis; homogeneous polynomial forms; linear control systems; simultaneous stabilizability; tensor product; Control systems; Linear systems; Lyapunov method; Polynomials; Quantum cascade lasers; Robust stability; State-space methods; Sufficient conditions; Symmetric matrices; Tensile stress; Common Lyapunov functions; homogeneous polynomial forms; robust stabilizability; tensor product;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2006.880811
Filename
1696003
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