Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
750410 | Systems & Control Letters | 2008 | 9 Pages |
Abstract
The Integral Input to State Stability (iISS) property is studied in the context of nonlinear time-invariant systems in cascade. Some sufficient conditions for the preservation of the iISS property under a cascade interconnection are presented. These are first given as growth restrictions on the supply functions of the storage function associated with each subsystem and are then expressed as solutions-based requirements. A Lyapunov-based condition guaranteeing that the cascade composed of an iISS system driven by a Globally Asymptotically Stable (GAS) one remains GAS is also provided. We also show that some of these results extend to cascades composed of more than two subsystems.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Antoine Chaillet, David Angeli,