Absolute stability results for well-posed infinite-dimensional systems with applications to low-gain integral control
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Hartmut Logemann, Ruth F. Curtain (2000)
ESAIM: Control, Optimisation and Calculus of Variations
Hartmut Logemann, Ruth F. Curtain (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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...
De la Sen, M. (2001)
Mathematical Problems in Engineering
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