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Extremum seeking feedback is a powerful method to steer a dynamical system to an extremum of a partially or completely unknown map. It often requires advanced system-theoretic tools to understand the qualitative behavior of extremum seeking…

Dynamical Systems · Mathematics 2012-12-07 Hans-Bernd Dürr , Miloš S. Stanković , Christian Ebenbauer , Karl H. Johansson

We consider an optimization problem in which a (single) bat aims to exploit the nectar in a set of $n$ cacti with the objective of maximizing the expected total amount of nectar it drinks. Each cactus $i \in [n]$ is characterized by a…

Data Structures and Algorithms · Computer Science 2020-07-21 Amos Korman , Yuval Emek , Simon Collet , Aya Goldshtein , Yossi Yovel

We present a novel data-driven nested optimization framework that addresses the problem of coupling between plant and controller optimization. This optimization strategy is tailored towards instances where a closed-form expression for the…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Ali Baheri , Chris Vermillion

Single-cell organisms and various cell types use a range of motility modes when following a chemical gradient, but it is unclear which mode is best suited for different gradients. Here, we model directional decision-making in chemotactic…

Cell Behavior · Quantitative Biology 2025-05-12 Albert Alonso , Julius B. Kirkegaard , Robert G. Endres

In this paper, a distributed non-model based seeking algorithm which combines the extremum seeking control (ESC) jointly with learning algorithms is proposed to seek a generalized Nash equilibrium (GNE) for a class of noncooperative games…

Optimization and Control · Mathematics 2023-02-27 Feng Xiao , Xin Cai , Bo Wei

This paper addresses the design and analysis of a multivariable gradient-based stochastic extremum-seeking control method for multi-input systems with arbitrary input delays. The approach accommodates systems with distinct time delays…

Optimization and Control · Mathematics 2024-11-19 Paulo Cesar Souza Silva , Paulo Cesar Pellanda , Tiago Roux Oliveira

We investigate variants of Goddard's problems for nonvertical trajectories. The control is the thrust force, and the objective is to maximize a certain final cost, typically, the final mass. In this report, performing an analysis based on…

Optimization and Control · Mathematics 2009-04-20 Frédéric Bonnans , Pierre Martinon , Emmanuel Trélat

Extremum Seeking Control (ESC) is a well-known set of continuous time algorithms for model-free optimization of a cost function. One issue for ESCs is the convergence rates of parameters to extrema of unknown cost functions. The local…

Optimization and Control · Mathematics 2024-09-20 Patrick McNamee , Zahra Nili Ahmadabadi

In this paper, we address a distributed control problem for a system of partial differential equations describing the evolution of a tumor that takes the biological mechanism of chemotaxis into account. The system describing the evolution…

Optimization and Control · Mathematics 2023-09-19 Gianni Gilardi , Andrea Signori , Jürgen Sprekels

In this paper the finite-time stabilization problem is solved for a linear time-varying system with unknown control direction by exploiting a modified version of the classical extremum seeking algorithm. We propose to use a suitable…

Optimization and Control · Mathematics 2021-03-12 Adriano Mele , Gianmaria De Tommasi , Alfredo Pironti

This paper introduces and analyses a continuous optimization approach to solve optimal control problems involving ordinary differential equations (ODEs) and tracking type objectives. Our aim is to determine control or input functions, and…

Optimization and Control · Mathematics 2024-05-09 Vicky Holfeld , Michael Burger , Claudia Schillings

This paper studies the fish growth trajectory tracking via reinforcement learning under a representative bioenergetic growth model. Due to the complex aquaculture condition and uncertain environmental factors such as temperature, dissolved…

Systems and Control · Electrical Eng. & Systems 2021-03-15 Abderrazak Chahid , Ibrahima N'Doye , John E. Majoris , Michael L. Berumen , Taous-Meriem Laleg-Kirati

In this paper we present a metaheuristic for global optimization called General Algorithmic Search (GAS). Specifically, GAS is a stochastic, single-objective method that evolves a swarm of agents in search of a global extremum. Numerical…

Optimization and Control · Mathematics 2017-05-25 Sergio Hernández , Guillem Duran , José M. Amigó

Ultra-cold atomic gases are unique in terms of the degree of controllability, both for internal and external degrees of freedom. This makes it possible to use them for the study of complex quantum many-body phenomena. However in many…

Quantum Physics · Physics 2020-09-30 Rick Mukherjee , Frederic Sauvage , Harry Xie , Robert Löw , Florian Mintert

We consider both discrete and continuous control problems constrained by a fixed budget of some resource, which may be renewed upon entering a preferred subset of the state space. In the discrete case, we consider both deterministic and…

Optimization and Control · Mathematics 2014-09-30 Ryo Takei , Weiyan Chen , Zachary Clawson , Slav Kirov , Alexander Vladimirsky

The optimal control of unitary transformations is a fundamental problem in quantum control theory and quantum information processing. The feasibility of performing such optimizations is determined by the computational and control resources…

Quantum Physics · Physics 2015-05-19 Katharine W. Moore , Raj Chakrabarti , Gregory Riviello , Herschel Rabitz

Newly, the rates of energy and material consumption to augment industrial pro-duction are substantially high, thus the environmentally sustainable industrial de-velopment has emerged as the main issue of either developed or developing…

We consider bounded extremum seeking controls for time-varying linear systems with uncertain coefficient matrices and measurement uncertainty. Using a new change of variables, Lyapunov functions, and a comparison principle, we provide…

Optimization and Control · Mathematics 2025-01-20 Frederic Mazenc , Michael Malisoff , Emilia Fridman

Optimizing the transient control of gas networks is a highly challenging task. The corresponding model incorporates the combinatorial complexity of determining the settings for the many active elements as well as the non-linear and…

Optimization and Control · Mathematics 2022-06-14 Felix Hennings , Kai Hoppmann-Baum , Janina Zittel

The ability to characterise a Hamiltonian with high precision is crucial for the implementation of quantum technologies. In addition to the well-developed approaches utilising optimal probe states and optimal measurements, the method of…

Quantum Physics · Physics 2022-12-14 Shushen Qin , Marcus Cramer , Christiane P. Koch , Alessio Serafini