2 problems

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…

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…