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• W2563313954 abstract "Application of the Lyapunov method to 2D system stability and performanceanalysis yields algebraic systems that can be interpreted as eithersum-of-squares problems for nontrivial matrix polynomials, or parameterizedlinear matrix inequalities that need to be satisfied for certain ranges ofparameter values. In this paper we show that dualizing core inequalities inthe latter forms allows converting these systems to conventionaloptimization problems on sets described by polynomial matrix inequalities.Methods for solving these problems include moment-based methods or the“atomic optimization” method proposed earlier by the author. As aresult, we obtain necessary conditions for 2D system stability and lowerbounds on system performance. In particular, we demonstrate respectiveresults for discrete-discrete system stability and mixedcontinuous-discrete system $mathcal{H}_infty$ performance. A numerical example isprovided." @default.
• W2563313954 created "2017-01-06" @default.
• W2563313954 creator A5071140233 @default.
• W2563313954 date "2016-12-01" @default.
• W2563313954 modified "2023-09-25" @default.
• W2563313954 title "2D system analysis via dual problems and polynomial matrix inequalities" @default.
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• W2563313954 doi "https://doi.org/10.3934/naco.2016022" @default.
• W2563313954 hasPublicationYear "2016" @default.
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