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• W4224285419 endingPage "110305" @default.
• W4224285419 startingPage "110305" @default.
• W4224285419 abstract "This paper proposes a novel polynomial blossoming approach to designing stabilizing controller for a class of periodic time-varying systems. Utilizing multi-convexity of a non-homogeneous symmetric matrix polynomial, the approach can provide a series of convex optimization conditions to guarantee the negativity/positivity of matrix polynomial. Special cases of the proposed approach are also discussed, giving the conclusion that our approach generalizes two existing matrix polynomial approaches. For periodic systems formulated with [0,1]-bounded time-varying coefficients, the designed stabilizing controller not only involves user-selectable varying gains over time intervals that are possibly non-identical to the system fundamental period, but can also guarantee the exponential stability of the closed-loop system. The effectiveness of our approach is validated and illustrated through two application-oriented simulation examples." @default.
• W4224285419 created "2022-04-26" @default.
• W4224285419 creator A5024031100 @default.
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• W4224285419 creator A5049212334 @default.
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• W4224285419 creator A5087264224 @default.
• W4224285419 date "2022-07-01" @default.
• W4224285419 modified "2023-10-16" @default.
• W4224285419 title "A polynomial blossoming approach to stabilization of periodic time-varying systems" @default.
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• W4224285419 doi "https://doi.org/10.1016/j.automatica.2022.110305" @default.
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