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• W2130573755 abstract "This paper deals with stabilization of polytopic delay difference inclusions (DDIs) via the Razumikhin approach. As not every DDI that is globally exponentially stable (GES) admits a standard Lyapunov-Razumikhin function (LRF), time-varying Lyapunov functions are proposed as a tool for stability analysis and stabilizing controller synthesis for polytopic DDIs. It is shown that any polytopic DDI that is GES admits a quadratic time-varying Lyapunov-Krasovskii function and, under an additional mild assumption, it also admits a quadratic time-varying LRF. These results are further exploited to derive a stabilizing receding horizon control scheme that does not suffer from an exponential increase in complexity when the size of the delay increases. The proposed control scheme requires solving on-line a low-dimensional semi-definite program." @default.
• W2130573755 created "2016-06-24" @default.
• W2130573755 creator A5025383822 @default.
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• W2130573755 date "2010-12-01" @default.
• W2130573755 modified "2023-09-25" @default.
• W2130573755 title "Stabilization of polytopic delay difference inclusions: Time-varying control Lyapunov functions" @default.
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• W2130573755 doi "https://doi.org/10.1109/cdc.2010.5717818" @default.
• W2130573755 hasPublicationYear "2010" @default.
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