4 problems

Fix a network with queue $m$, tail-exponent set $\Gamma$, and the notions of RDS and special $\epsilon$-Lyapunov function as in the preceding corollary. Converse Lyapunov conjectur…

Consider the time-delay system on $\mathcal X^n$ with inputs in $\mathcal U^m$. Converse point-wise iISS-LKF conjecture. If the system is iISS, then it admits an iISS Lyapunov–Kras…

ISS under point-wise dissipation conjecture. These assumptions imply that the system is ISS. The converse is known, so this would provide an alternative characterization of ISS and…

GES under point-wise dissipation conjecture. Under these assumptions, the system is GES. The converse is known from the cited theorem, so the conjecture would characterize GES thro…