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- W2021507233 abstract "In this paper, a convergent numerical procedure to compute ℋ︁2 and ℋ︁∞ norms of uncertain time-invariant linear systems in polytopic domains is proposed. The norms are characterized by means of homogeneous polynomially parameter-dependent Lyapunov functions of arbitrary degree g solving parameter-dependent linear matrix inequalities. Using an extension of Pólya's Theorem to the case of matrix-valued polynomials, a sequence of linear matrix inequalities is constructed in terms of an integer d providing a Lyapunov solution for a given degree g and guaranteed ℋ︁2 and ℋ︁∞ costs whenever such a solution exists. As the degree of the homogeneous polynomial matrices increases, the guaranteed costs tend to the worst-case norm evaluations in the polytope. Both continuous- and discrete-time uncertain systems are investigated, as illustrated by numerical examples that include comparisons with other techniques from the literature. Copyright © 2007 John Wiley & Sons, Ltd." @default.
- W2021507233 created "2016-06-24" @default.
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- W2021507233 date "2008-07-01" @default.
- W2021507233 modified "2023-10-16" @default.
- W2021507233 title "A convex optimization procedure to compute ℋ︁<sub>2</sub>and ℋ︁<sub>∞</sub>norms for uncertain linear systems in polytopic domains" @default.
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- W2021507233 doi "https://doi.org/10.1002/oca.825" @default.
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