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An exact stability analysis test for single-parameter polynomially-dependent linear systems

delete2006-07-01
delete7
PRE
AI
P
Panagiotis Tsiotras *
P
Pierre‐Alexandre Bliman
DOI：10.1109/TAC.2006.878773delete
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Abstract

Abstract

En 中文
We provide a new condition for testing the stability of a single-parameter, polynomially-dependent linear system of polynomial degree N of the form (x) over dot = A(rho) x, A(rho) Sigma(i=o) rho(i) A(i) (1) 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 (LMls)
parameter-dependent systems
robust stability

Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

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