Absolute stability results for well-posed infinite-dimensional systems with applications to low-gain integral control
Absolute stability results for well-posed infinite-dimensional systems with applications to low-gain integral control
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 integral...
Adaptive stabilization of continuous-time systems guaranteeing the controllability of a modified estimation model.