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SCL
2008

Integral Input to State Stable systems in cascade

13 years 11 months ago
Integral Input to State Stable systems in cascade
The Integral Input to State Stability (iISS) property is studied is 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. Those are first given as growth restrictions on the supply functions of the storage function associated to each subsystem, and then are 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. Some of these results extend to cascades composed of more than two subsystems. Key words: Stability analysis, Robustness analysis, Nonlinear systems, Cascades
Antoine Chaillet, David Angeli
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2008
Where SCL
Authors Antoine Chaillet, David Angeli
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