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• W2952162008 abstract "Summary We introduce a new robust stability measure for systems with multiple pointwise delays, which is called smoothed spectral abscissa, consistently with the existing measure for delay‐free systems. Its main characteristics are that it is smooth with respect to the system parameters and it provides a trade‐off between the decay rate of the system solution and the norm of a transfer matrix related with the system. The smoothed spectral abscissa is implicitly defined in terms of the norm of an auxiliary system, and its computation is based on the so‐called delay Lyapunov matrix. We show that these features make the smoothed spectral abscissa suitable for the design of robust controllers by using standard gradient‐based optimization techniques and exploiting a novel characterization of the derivatives of the delay Lyapunov matrix with respect to the system parameters." @default.
• W2952162008 created "2019-06-27" @default.
• W2952162008 creator A5008378186 @default.
• W2952162008 creator A5029853495 @default.
• W2952162008 date "2019-06-18" @default.
• W2952162008 modified "2023-10-16" @default.
• W2952162008 title "Characterization and optimization of the smoothed spectral abscissa for time‐delay systems" @default.
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• W2952162008 doi "https://doi.org/10.1002/rnc.4631" @default.
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