Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
756738 | Systems & Control Letters | 2006 | 10 Pages |
Abstract
We apply set valued analysis techniques in order to characterize the input-to-state dynamical stability (ISDS) property, a variant of the well known input-to-state stability (ISS) property. Using a suitable augmented differential inclusion we are able to characterize the epigraphs of minimal ISDS Lyapunov functions as invariance kernels. This characterization gives new insight into local ISDS properties and provides a basis for a numerical approximation of ISDS and ISS Lyapunov functions via set oriented numerical methods.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Lars Grüne, Patrick Saint-Pierre,