Robust performance of a class of control systems
Long Wang (2004)
Control and Cybernetics
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Displaying similar documents to “Nonnegativity of uncertain polynomials.”
Robust performance of a class of control systems
On parametric Hurwitz stability margin of real polynomials
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Rank-one LMI approach to robust stability of polynomial matrices
Didier Henrion, Kenji Sugimoto, Michael Šebek (2002)
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Necessary and sufficient conditions are formulated for checking robust stability of an uncertain polynomial matrix. Various stability regions and uncertainty models are handled in a unified way. The conditions, stemming from a general optimization methodology similar to the one used in -analysis, are expressed as a rank-one LMI, a non-convex problem frequently arising in robust control. Convex relaxations of the problem yield tractable sufficient LMI conditions for robust stability...
Real and complex pseudozero sets for polynomials with applications
Stef Graillat, Philippe Langlois (2007)
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Pseudozeros are useful to describe how perturbations of polynomial coefficients affect its zeros. We compare two types of pseudozero sets: the complex and the real pseudozero sets. These sets differ with respect to the type of perturbations. The first set – complex perturbations of a complex polynomial – has been intensively studied while the second one – real perturbations of a real polynomial – seems to have received little attention. We present a computable formula for the real...
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