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• W2110331379 endingPage "442" @default.
• W2110331379 startingPage "436" @default.
• W2110331379 abstract "This paper presents new tests to analyze the robust stability and/or performance of linear systems with uncertain real parameters. These tests are extensions of the notions of quadratic stability and performance where the fixed quadratic Lyapunov function is replaced by a Lyapunov function with affine dependence on the uncertain parameters. Admittedly with some conservatism, the construction of such parameter-dependent Lyapunov functions can be reduced to a linear matrix inequality (LMI) problem and hence is numerically tractable. These LMI-based tests are applicable to constant or time-varying uncertain parameters and are less conservative than quadratic stability in the case of slow parametric variations. They also avoid the frequency sweep needed in real-/spl mu/ analysis, and numerical experiments indicate that they often compare favorably with /spl mu/ analysis for time-invariant parameter uncertainty." @default.
• W2110331379 created "2016-06-24" @default.
• W2110331379 creator A5033569810 @default.
• W2110331379 creator A5046479507 @default.
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• W2110331379 date "1996-03-01" @default.
• W2110331379 modified "2023-10-01" @default.
• W2110331379 title "Affine parameter-dependent Lyapunov functions and real parametric uncertainty" @default.
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• W2110331379 doi "https://doi.org/10.1109/9.486646" @default.
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