A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is
We derive absolute stability results for well-posed infinite-dimensional systems which, in a sense, extend the well-known circle criterion to the case that the underlying linear system is the series interconnection of an exponentially stable well-posed infinite-dimensional system and an integrator and the nonlinearity φ satisfies a sector condition of the form φ(u), φ(u) − au ≤ 0 for some constant a > 0. These results are used to prove convergence and stability properties of low-gain integraldoi:10.1051/cocv:2000115 fatcat:e7emkwwx2fgfjfltpgqo3g2bfy