Work

Quadratic abstractions for k-contraction

Year: 2024

Type: conference-paper

Abstract: k-contraction is a generalization of the classical contraction property. It allows the study of complex behaviors in partially stable systems. However, existing conditions for k contraction are often intractable. This work proposes efficiently solvable sufficient conditions for k-contraction verification in partially linear systems. Our findings are derived by exploiting particular quadratic abstractions arising from classical Lur’e systems analysis. We specialize our result to nonlinearities satisfying shifted monotonicity and differential sector-bound properties. We showcase the potential of our method by designing nonlinear controllers for linear systems, achieving complex closed-loop behaviors.

Source: Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes

DOI: 10.1109/cdc56724.2024.10886370

Authors: Samuele Zoboli, Andreu Cecilia, Sophie Tarbouriech

Institutions: Centre National de la Recherche Scientifique, Université Toulouse III - Paul Sabatier, Laboratoire d'Analyse et d'Architecture des Systèmes, Université de Toulouse, Universitat Politècnica de Catalunya

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green