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• W1999461418 abstract "This paper revisits a well-known Tsypkin criterion for stability analysis of discrete-time nonlinear LurOe systems. When nonlinearities are monotonic and sector restricted by [0, *1 ], where *1 is positive deÞnite, it is shown by Kapila and Haddad that the system is absolutely stable if a function G 0 (z)*1 ~1#MI#(1!z~1)K`NG(z) is strictly positive real, whereK` is nonnegative diagonal and G(z) represents a transfer function of the linear part of the LurOe system with invertible or identically zero G(0). This paper extends this criterion when *1 is positive diagonal, by choosing a new Lyapunov function to obtain an LMI criterion. From a frequency-domain interpretation of this LMI criterion, another su¦cient criterion is generated which establishes that the system is absolutely stable if a function G 0 (z)*1 ~1#MI#(1!z~1)K`#(1!z)K~N G(z) is strictly positive real, whereK` andK~ are nonnegative diagonal and orthogonal to each other.(1998 Elsevier Science Ltd. All rights reserved" @default.
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• W1999461418 date "1998-11-01" @default.
• W1999461418 modified "2023-10-07" @default.
• W1999461418 title "A Revisited Tsypkin Criterion for Discrete-Time Nonlinear Lur’e Systems with Monotonic Sector-Restrictions" @default.
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• W1999461418 doi "https://doi.org/10.1016/s0005-1098(98)00100-9" @default.
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