DocumentCode :
3193360
Title :
An exact stability analysis test for single-parameter polynomially-dependent linear systems
Author :
Tsiotras, P. ; Bliman, P.-A.
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Volume :
2
fYear :
2004
fDate :
14-17 Dec. 2004
Firstpage :
1337
Abstract :
We provide a condition for testing the stability of a single-parameter, polynomially-dependent linear system of polynomial degree N of the form x˙ = A(ρ)x, A(ρ) = Σ i=0NρiAi over a compact interval. The test is nonconservative and can be cast as a convex feasibility problem in terms of a pair of linear matrix inequalities (LMIs).
Keywords :
linear matrix inequalities; linear systems; polynomials; stability; compact interval; convex feasibility; exact stability analysis test; linear matrix inequalities; single-parameter polynomially-dependent linear systems; Aerospace engineering; Linear matrix inequalities; Linear systems; Lyapunov method; Matrix decomposition; Polynomials; Stability analysis; Sufficient conditions; System testing; Upper bound;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
ISSN :
0191-2216
Print_ISBN :
0-7803-8682-5
Type :
conf
DOI :
10.1109/CDC.2004.1430228
Filename :
1430228
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3193360
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