Concept
Nonlinear system
Related publications (607)
Koopman-based Data-driven Robust Control of Nonlinear Systems Using Integral Quadratic Constraints
This paper introduces a novel method for data-driven robust control of nonlinear systems based on the Koopman operator, utilizing Integral Quadratic Constraints (IQCs). The Koopman operator theory facilitates the linear representation of nonlinear system d ...
2024Emergent nonlinear dynamics in photonic lattices
Since the discovery of dissipative Kerr solitons in optical microresonators, significant progress has been made in the understanding of the underlying physical principles from the fundamental side and generation of broadband coherent optical Kerr frequency ...
EPFL2024Critical degeneracy in a nonlinear hyperbolic equation can produce atypical instability
This paper deals with the initial value problem for a semilinear wave equation on a bounded domain and solutions are required to vanish on the boundary of this domain. The essential feature of the situation considered here is that the ellipticity of the sp ...
2024Optimizing Dynamic Aperture Studies with Active Learning
Davide Di Croce, Tatiana Pieloni, Ekaterina Krymova, Massimo Giovannozzi
Dynamic aperture is an important concept for the study of non-linear beam dynamics in circular accelerators. It describes the extent of the phase-space region where a particle's motion remains bounded over a given number of turns. Understanding the feature ...
2024Data-Driven Control Synthesis using Koopman Operator: A Robust Approach
Alireza Karimi, Mert Eyuboglu, Nathan Russell Powell
This paper proposes a data-driven control design method for nonlinear systems that builds upon the Koopman operator framework. In particular, the Koopman operator is used to lift the nonlinear dynamics to a higher-dimensional space where the so-called obse ...
2024The Strong Integral Input-to-State Stability Property in Dynamical Flow Networks
Dynamical flow networks serve as macroscopic models for, e.g., transportation networks, queuing networks, and distribution networks. While the flow dynamics in such networks follow the conservation of mass on the links, the outflow from each link is often ...
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