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We introduce a new closed-loop architecture for the online solution of approximate optimal control problems in the context of continuous-time systems. Specifically, we introduce the first algorithm that incorporates dynamic momentum in…

Optimization and Control · Mathematics 2022-04-28 Daniel E. Ochoa , Jorge I. Poveda

The paper is devoted to the study of a new class of optimal control problems for nonsmooth dynamical systems governed by nonconvex discontinuous differential inclusions of the sweeping type with involving variable time into optimization. We…

Optimization and Control · Mathematics 2025-03-05 Tan H. Cao , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen , Nguyen N. Thieu

The EHP and the MCAP provide new rigorous weak variational formalism for a broad range of initial boundary value problems in mathematical physics and mechanics. Both approaches utilize the mixed formulation and lead to the development of…

Dynamical Systems · Mathematics 2013-11-19 Jinkyu Kim

This paper proposes a new class of real-time optimization schemes to overcome system-model mismatch of uncertain processes. This work's novelty lies in integrating derivative-free optimization schemes and multi-fidelity Gaussian processes…

Machine Learning · Computer Science 2021-11-11 Panagiotis Petsagkourakis , Benoit Chachuat , Ehecatl Antonio del Rio-Chanona

We construct compositional continuous approximations for an interconnection of infinitely many discrete-time switched systems. An approximation (known as abstraction) is itself a continuous-space system, which can be used as a replacement…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Maryam Sharifi , Abdalla Swikir , Navid Noroozi , Majid Zamani

This paper introduces a novel approach to the optimal control of linear discrete-time systems subject to bounded disturbances. Our approach is based on the newly established duality between ellipsoidal approximations of reachable and hardly…

Systems and Control · Electrical Eng. & Systems 2024-09-20 Egor Dogadin , Alexey Peregudin , Dmitriy Shirokih

Recent years have witnessed a wave of research activities in systems science toward the study of population systems. The driving force behind this shift was geared by numerous emerging and ever-changing technologies in life and physical…

Optimization and Control · Mathematics 2019-08-16 Jr-Shin Li , Wei Zhang , Lin Tie

Reset systems can overcome fundamental limitations of linear time-invariant control. The recently introduced notion of scaled (relative) graphs provides a promising framework for developing graphical analysis and design tools for reset…

Optimization and Control · Mathematics 2026-05-21 Timo de Groot , Maurice Heemels , Tom Oomen , Sebastiaan van den Eijnden

The statistical modeling of space-time extremes in environmental applications is key to understanding complex dependence structures in original event data and to generating realistic scenarios for impact models. In this context of…

Methodology · Statistics 2019-05-16 Jean-Noel Bacro , Carlo Gaetan , Thomas Opitz , Gwladys Toulemonde

Parallel robots based on Handed Shearing Auxetics (HSAs) can implement complex motions using standard electric motors while maintaining the complete softness of the structure, thanks to specifically designed architected metamaterials.…

Robotics · Computer Science 2024-10-22 Maximilian Stölzle , Daniela Rus , Cosimo Della Santina

Economic Model Predictive Control (EMPC) has recently become popular because of its ability to control constrained nonlinear systems while explicitly optimizing a prescribed performance criterion. Large performance gains have been reported…

Systems and Control · Electrical Eng. & Systems 2020-10-30 Mario Zanon

This paper focuses on the design of hierarchical control architectures for autonomous systems with energy constraints. We focus on systems where energy storage limitations and slow recharge rates drastically affect the way the autonomous…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Charlott Vallon , Mark Pustilnik , Alessandro Pinto , Francesco Borrelli

To investigate solutions of (near-)optimal control problems, we extend and exploit a notion of homogeneity recently proposed in the literature for discrete-time systems. Assuming the plant dynamics is homogeneous, we first derive a scaling…

Optimization and Control · Mathematics 2021-09-24 Mathieu Granzotto , Romain Postoyan , Lucian Buşoniu , Dragan Nešić , Jamal Daafouz

This paper introduces a novel control framework to address the satisfaction of multiple time-varying output constraints in uncertain high-order MIMO nonlinear control systems. Unlike existing methods, which often assume that the constraints…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Farhad Mehdifar , Lars Lindemann , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

We introduce a Gaussian process-based model for handling of non-stationarity. The warping is achieved non-parametrically, through imposing a prior on the relative change of distance between subsequent observation inputs. The model allows…

Machine Learning · Statistics 2019-12-06 David Tolpin

Generalized additive models (GAMs) provide a way to blend parametric and non-parametric (function approximation) techniques together, making them flexible tools suitable for many modeling problems. For instance, GAMs can be used to…

Methodology · Statistics 2023-03-07 Antti Solonen , Stratos Staboulis

This paper develops a control-theoretic framework for analyzing agentic systems embedded within feedback control loops, where an AI agent may adapt controller parameters, select among control strategies, invoke external tools, reconfigure…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Ali Eslami , Jiangbo Yu

Continuous-time batch state estimation using Gaussian processes is an efficient approach to estimate the trajectories of robots over time. In the past, relatively simple physics-motivated priors have been considered for such approaches,…

Robotics · Computer Science 2025-06-04 Sven Lilge , Timothy D. Barfoot

Recent advances at the intersection of dense large graph limits and mean field games have begun to enable the scalable analysis of a broad class of dynamical sequential games with large numbers of agents. So far, results have been largely…

Computer Science and Game Theory · Computer Science 2022-02-21 Kai Cui , Heinz Koeppl

We introduce a novel algorithm for controlling linear time invariant systems in a tracking problem. The controller is based on a Gaussian Process (GP) whose realizations satisfy a system of linear ordinary differential equations with…

Optimization and Control · Mathematics 2025-08-01 Jörn Tebbe , Andreas Besginow , Markus Lange-Hegermann