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Networked Predictive Control is widely used to mitigate the effect of delays and dropouts in Networked Control Systems, particularly when these exceed the sampling time. A key design choice of these methods is the delay bound, which…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Severin Beger , Yihui Lin , Katarina Stanojevic , Sandra Hirche

Model predictive control is a prominent approach to construct a feedback control loop for dynamical systems. Due to real-time constraints, the major challenge in MPC is to solve model-based optimal control problems in a very short amount of…

Optimization and Control · Mathematics 2020-12-15 Sina Ober-Blöbaum , Sebastian Peitz

We investigate optimal control problems with $L^0$ constraints, which restrict the measure of the support of the controls. We prove necessary optimality conditions of Pontryagin maximum principle type. Here, a special control perturbation…

Optimization and Control · Mathematics 2022-08-04 Daniel Wachsmuth

In this research paper, we examine an optimal control problem involving a dynamical system governed by a nonlinear Caputo fractional time-delay state equation. The primary objective of this study is to obtain the necessary conditions for…

Optimization and Control · Mathematics 2024-01-31 Jasarat J. Gasimov , Nazim I. Mahmudov

In this paper, we consider a hierarchical control problem with model uncertainty. Specifically, we consider the following objectives that we would like to accomplish. The first one being of a controllability-type that consists of…

Optimization and Control · Mathematics 2015-10-14 Getachew K. Befekadu , Eduardo L. Pasiliao

We prove the existence of an optimal feedback controller for a stochastic optimization problem constituted by a variation of the Heston model, where a stochastic input process is added in order to minimize a given performance criterion. The…

Optimization and Control · Mathematics 2018-04-30 Viorel Barbu , Chiara Benazzoli , Luca Di Persio

In this article, we consider a cooperative control problem involving a heterogeneous network of dynamically decoupled continuous-time linear plants. The (output-feedback) controllers for each plant may communicate with each other according…

Optimization and Control · Mathematics 2024-01-09 Mruganka Kashyap , Laurent Lessard

This paper investigates stable suboptimal H-infinity controllers for a class of single-input single-output time-delay systems. For a given plant and weighting functions, the optimal controller minimizing the mixed sensitivity (and the…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Suat Gumussoy , Hitay Ozbay

We consider parametrized problems driven by spatially nonlocal integral operators with parameter-dependent kernels. In particular, kernels with varying nonlocal interaction radius $\delta > 0$ and fractional Laplace kernels, parametrized by…

Numerical Analysis · Mathematics 2019-10-02 Olena Burkovska , Max Gunzburger

Optimal control of a mobile robot system is formulated. Multiobjective criteria of time and energy is employed. The optimal control problem is formulated as a nonlinear programming problem (NLP). The problem is solved using the direct…

Optimization and Control · Mathematics 2013-12-30 Mohamad Shahab , Amar Khoukhi , Fouad Al-Sunni

Feedback optimization enables autonomous optimality seeking of a dynamical system through its closed-loop interconnection with iterative optimization algorithms. Among various iteration structures, model-based approaches require the…

Optimization and Control · Mathematics 2026-05-26 Zhiyu He , Saverio Bolognani , Michael Muehlebach , Florian Dörfler

Recent research shows that supervised learning can be an effective tool for designing near-optimal feedback controllers for high-dimensional nonlinear dynamic systems. But the behavior of neural network controllers is still not well…

Optimization and Control · Mathematics 2022-10-10 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang

Feedback control plays a central role in active matter, yet it is inevitably accompanied by noise and finite perception--action delays. This Perspective reviews recent advances on active systems with delayed interactions, showing how time…

Soft Condensed Matter · Physics 2026-03-19 Viktor Holubec , Frank Cichos

We consider an optimal control problem for a system of local continuity equations on a space of probability measures. Such systems can be viewed as macroscopic models of ensembles of non-interacting particles or homotypic individuals,…

Optimization and Control · Mathematics 2021-10-07 Maxim Staritsyn , Nikolay Pogodaev , Roman Chertovskih , Fernando Lobo Pereira

This paper presents a novel methodology to develop scheduling algorithms. The scheduling problem is phrased as a control problem, and control-theoretical techniques are used to design a scheduling algorithm that meets specific requirements.…

Systems and Control · Computer Science 2010-09-20 Carlo A. Furia , Alberto Leva , Martina Maggio , Paola Spoletini

Autonomous optimization refers to the design of feedback controllers that steer a physical system to a steady state that solves a predefined, possibly constrained, optimization problem. As such, no exogenous control inputs such as setpoints…

Optimization and Control · Mathematics 2020-10-08 Adrian Hauswirth , Saverio Bolognani , Gabriela Hug , Florian Dörfler

Quantum coherent feedback control is a measurement-free control method fully preserving quantum coherence. In this paper we show how time-delayed quantum coherent feedback can be used to control the degree of squeezing in the output field…

Optimal actuator and control design is studied as a multi-level optimisation problem, where the actuator design is evaluated based on the performance of the associated optimal closed loop. The evaluation of the optimal closed loop for a…

Optimization and Control · Mathematics 2024-02-13 Dante Kalise , Estefanía Loayza-Romero , Kirsten A. Morris , Zhengang Zhong

Model predictive control allows solving complex control tasks with control and state constraints. However, an optimal control problem must be solved in real-time to predict the future system behavior, which is hardly possible on embedded…

Systems and Control · Electrical Eng. & Systems 2023-04-13 Jan Olucak , Walter Fichter , Torbjørn Cunis

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