2 problems

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The discrete-time Kalman conjecture for Lurye systems
Let $G$ be a discrete-time, linear time-invariant plant in negative feedback with a nonlinearity $\phi\in S_{0,k}$ . Let $k_{AS}$ be the supremum of the values of $k$ for which the…
Conjectureopenabsolute-stability control-theory kalman-conjecturearXiv posted 2 days ago
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Kalman conjecture for slope-restricted Lur'e systems
Kalman conjecture. Then the negative-feedback interconnection of the continuous-time (or discrete-time) LTI system $G\sim[A,B,C,0]$ and $c6$ is globally asymptotically stable if…
Conjecturerefutedabsolute-stability kalman-conjecture lure-systemsarXiv posted 2 days ago

The discrete-time Kalman conjecture for Lurye systems