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Dynamical systems provide a comprehensive way to study complex and changing behaviors across various sciences. Many modern systems are too complicated to analyze directly or we do not have access to models, driving significant interest in…

Dynamical Systems · Mathematics 2024-07-10 Matthew J. Colbrook , Igor Mezić , Alexei Stepanenko

This paper describes the optimal selection of a control policy to program the steady state of controlled nonlinear systems with hyperbolic fixed points. This work is motivated by the field of synthetic biology, in which saddle points are…

Dynamical Systems · Mathematics 2020-06-11 Aqib Hasnain , Nibodh Boddupalli , Shara Balakrishnan , Enoch Yeung

With the advancement of sensing and communication in power networks, high-frequency real-time data from a power network can be used as a resource to develop better monitoring capabilities. In this work, a systematic approach based on…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Subhrajit Sinha , Sai Pushpak Nandanoori , Enoch Yeung

This paper presents a unified and scalable framework for predictive and safe autonomous navigation in dynamic transportation environments by integrating model predictive control (MPC) with distributed Koopman operator learning.…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Ali Azarbahram , Shenyu Liu , Gian Paolo Incremona

This work focuses on developing a data-driven framework using Koopman operator theory for system identification and linearization of nonlinear systems for control. Our proposed method presents a deep learning framework with recursive…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Madhur Tiwari , George Nehma , Bethany Lusch

Controlling nonlinear dynamical systems remains a central challenge in a wide range of applications, particularly when accurate first-principle models are unavailable. Data-driven approaches offer a promising alternative by designing…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Robin Strässer , Karl Worthmann , Igor Mezić , Julian Berberich , Manuel Schaller , Frank Allgöwer

Data-driven control methods need to be sample-efficient and lightweight, especially when data acquisition and computational resources are limited -- such as during learning on hardware. Most modern data-driven methods require large datasets…

Robotics · Computer Science 2025-09-11 Zixin Zhang , James Avtges , Todd D. Murphey

The Koopman operator has emerged as a powerful tool for the analysis of nonlinear dynamical systems as it provides coordinate transformations to globally linearize the dynamics. While recent deep learning approaches have been useful in…

Dynamical Systems · Mathematics 2020-06-23 Shaowu Pan , Karthik Duraisamy

The modeling of nonlinear dynamics based on Koopman operator theory, which is originally applicable only to autonomous systems with no control, is extended to non-autonomous control system without approximation to input matrix B. Prevailing…

Systems and Control · Electrical Eng. & Systems 2024-08-23 H. Harry Asada , Jose A. Solano-Castellanos

Data-driven models for nonlinear dynamical systems based on approximating the underlying Koopman operator or generator have proven to be successful tools for forecasting, feature learning, state estimation, and control. It has become well…

Dynamical Systems · Mathematics 2023-10-26 Samuel E. Otto , Sebastian Peitz , Clarence W. Rowley

Koopman operator theory has emerged as a powerful tool for system identification, particularly for approximating nonlinear time-invariant systems (NTIS). This paper considers a network of agents with limited observation capabilities that…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Wenjian Hao , Lili Wang , Ayush Rai , Shaoshuai Mou

In this work we propose a coverage planning control approach which allows a mobile agent, equipped with a controllable sensor (i.e., a camera) with limited sensing domain (i.e., finite sensing range and angle of view), to cover the surface…

Agent-based models (ABMs) provide an intuitive and powerful framework for studying social dynamics by modeling the interactions of individuals from the perspective of each individual. In addition to simulating and forecasting the dynamics…

Dynamical Systems · Mathematics 2024-02-22 Jan-Hendrik Niemann , Stefan Klus , Nataša Djurdjevac Conrad , Christof Schütte

To avoid complex constraints of the traditional nonlinear method for tethered space robot (TSR) deployment, this paper proposes a data-driven optimal control framework with an improved deep learning based Koopman operator that could be…

Systems and Control · Electrical Eng. & Systems 2024-10-22 Ao Jin , Fan Zhang , Panfeng Huang

Mechanistic dynamic process models may be too computationally expensive to be usable as part of a real-time capable predictive controller. We present a method for end-to-end learning of Koopman surrogate models for optimal performance in a…

Machine Learning · Computer Science 2025-03-06 Daniel Mayfrank , Na Young Ahn , Alexander Mitsos , Manuel Dahmen

In recent years, the success of the Koopman operator in dynamical systems analysis has also fueled the development of Koopman operator-based control frameworks. In order to preserve the relatively low data requirements for an approximation…

Optimization and Control · Mathematics 2020-10-15 Sebastian Peitz , Samuel E. Otto , Clarence W. Rowley

Learning visual representations from observing actions to benefit robot visuo-motor policy generation is a promising direction that closely resembles human cognitive function and perception. Motivated by this, and further inspired by…

In recent years there has been a considerable drive towards data-driven analysis, discovery and control of dynamical systems. To this end, operator theoretic methods, namely, Koopman operator methods have gained a lot of interest. In…

Systems and Control · Electrical Eng. & Systems 2020-07-03 Subhrajit Sinha , Sai Pushpak Nandanoori , Enoch Yeung

When robots are able to see and respond to their surroundings, a whole new world of possibilities opens up. To bring these possibilities to life, the robotics industry is increasingly adopting camera-based vision systems, especially when a…

Robotics · Computer Science 2023-11-10 Michele Ambrosino , Manar Mahmalji , Nicolás Bono Rosselló , Emanuele Garone

This paper focuses on an adaptive and fault-tolerant vision-guided robotic system that enables to choose the most appropriate control action if partial or complete failure of the vision system in the short term occurs. Moreover, the…

Robotics · Computer Science 2022-09-07 Farhad Aghili
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