On the robustness analysis of triangular nonlinear systems: iISS and practical stability

Antoine Chaillet (1) , Antonio Loria (1)

1 L2S - Laboratoire des signaux et systèmes

This note synthesizes recent results obtained by the authors on the stability and robustness analysis of cascaded systems. It focuses on two properties of interest when dealing with perturbed systems, namely integral input-to-state stability and practical stability. We present sufficient conditions for which each of these notions is preserved under cascade interconnection. The obtained conditions are of a structural nature, which makes their use particularly easy in practice.

Domains: Automatic

Antoine Chaillet, Antonio Loria. On the robustness analysis of triangular nonlinear systems: iISS and practical stability. IEEE International Multi-Conf. on Systems, Signals and Devices, Conf. on Systems, Analysis and Automatic Control, 2009, Djerba, Tunisia. ⟨hal-00441742⟩