Nonnegativity of uncertain polynomials.
Šiljak, Dragoslav D., Šiljak, Matija D. (1998)
Mathematical Problems in Engineering
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Displaying similar documents to “Robust performance of a class of control systems”
Nonnegativity of uncertain polynomials.
On parametric Hurwitz stability margin of real polynomials
Petr Hušek (2008)
Control and Cybernetics
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The boundary crossing theorem and the maximal stability interval.
López-Renteria, Jorge-Antonio, Aguirre-Hernández, Baltazar, Verduzco, Fernando (2011)
Mathematical Problems in Engineering
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On stability of parametrized families of polynomials and matrices.
Akyar, Handan, Büyükköroğlu, Taner, Dzhafarov, Vakıf (2010)
Abstract and Applied Analysis
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Rank-one LMI approach to robust stability of polynomial matrices
Didier Henrion, Kenji Sugimoto, Michael Šebek (2002)
Kybernetika
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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...
Robust stability of non linear time varying systems
Ezra Zeheb (1999)
Kybernetika
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Systems with time-varying non-linearity confined to a given sector (Luré type) and a linear part with uncertainty formulated by an interval transfer function, are considered. Sufficient conditions satisfying the Popov criterion for stability, which are computationally tractable, are derived. The problem of checking the Popov criterion for an infinite set of systems, is reduced to that of checking the Popov criterion for a finite number of fixed coefficient systems, each in a prescribed...
Improved results on robust stability analysis and stabilization for a class of uncertain nonlinear systems.
Belhaouane, Mohamed Moez, Ghariani, Mohamed Faiez, Ayadi, Hela Belkhiria, Braiek, Naceur Benhadj (2010)
Mathematical Problems in Engineering
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Real and complex pseudozero sets for polynomials with applications
Stef Graillat, Philippe Langlois (2007)
RAIRO - Theoretical Informatics and Applications
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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...