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An important natural phenomenon surfaces that satisfactory synchronization of self-driven particles can be achieved via sharply reduced communication cost, especially for high density particle groups with low external noise. Statistical…

Data Analysis, Statistics and Probability · Physics 2007-07-24 Hai-Tao Zhang , Michael ZhiQiang Chen , Tao Zhou

We propose a framework for suboptimal model predictive control (MPC) based on the interconnection of monotone dynamical systems, such as port-Hamiltonian systems. In contrast to classical MPC formulations, where the optimizer is treated as…

Optimization and Control · Mathematics 2026-05-25 Till Preuster , Hannes Gernandt , Manuel Schaller

This paper is concerned with the design of optimal control for finite-dimensional control-affine nonlinear dynamical systems. We introduce an optimal control problem that specifically optimizes nonlinear observability in addition to…

Systems and Control · Computer Science 2017-08-03 Atiye Alaeddini , Kristi A. Morgansen , Mehran Mesbahi

This paper investigates a multidimensional non-homogeneous stochastic linear-quadratic optimal control problem featuring random coefficients and a terminal mean-field term in the cost functional, enabling its direct application to…

Optimization and Control · Mathematics 2026-05-27 Guojiang Shao , Zuo Quan Xu , Qi Zhang

This paper considers the problem of decentralized analysis and control synthesis to verify and ensure properties like stability and dissipativity of a large-scale networked system comprised of linear subsystems interconnected in an…

Systems and Control · Electrical Eng. & Systems 2022-09-05 Shirantha Welikala , Hai Lin , Panos Antsaklis

This paper discusses the control of coherent structures in turbulent flows, which has broad applications among complex systems in science and technology. Mean field games have been proved a powerful tool and are proposed here to control the…

Optimization and Control · Mathematics 2024-01-22 Yuan Gao , Di Qi

We discuss and compare two methods of investigations for the asymptotic regime of stochastic differential games with a finite number of players as the number of players tends to the infinity. These two methods differ in the order in which…

Probability · Mathematics 2012-10-23 Rene Carmona , Francois Delarue , Aime Lachapelle

We investigate stability analysis and controller design of unknown continuous-time systems under state-feedback with aperiodic sampling, using only noisy data but no model knowledge. We first derive a novel data-dependent parametrization of…

Optimization and Control · Mathematics 2022-08-26 Julian Berberich , Stefan Wildhagen , Michael Hertneck , Frank Allgöwer

This paper analyzes and explicitly solves a class of long-term average impulse control problems with a specific mean-field interaction. The underlying process is a general one-dimensional diffusion with appropriate boundary behavior. The…

Optimization and Control · Mathematics 2026-02-04 K. L. Helmes , R. H. Stockbridge , C. Zhu

In this paper, we study the optimal control of a discrete-time stochastic differential equation (SDE) of mean-field type, where the coefficients can depend on both a function of the law and the state of the process. We establish a new…

Optimization and Control · Mathematics 2022-10-05 Arzu Ahmadova , Nazim I. Mahmudov

We consider a discrete-time linear-quadratic Gaussian control problem in which we minimize a weighted sum of the directed information from the state of the system to the control input and the control cost. The optimal control and sensing…

Systems and Control · Electrical Eng. & Systems 2020-04-14 Murat Cubuktepe , Takashi Tanaka , Ufuk Topcu

The effectiveness of collective navigation of biological or artificial agents requires to accommodate for contrasting requirements, such as staying in a group while avoiding close encounters and at the same time limiting the energy…

Statistical Mechanics · Physics 2021-08-06 Francesco Borra , Massimo Cencini , Antonio Celani

The control of ensembles of dynamical systems is an intriguing and challenging problem, arising for example in quantum control. We initiate the investigation of optimal control of ensembles of discrete-time systems, focusing on minimising…

Optimization and Control · Mathematics 2025-11-07 Christian Fiedler , Alessandro Scagliotti

Mean field control (MFC) problems have been introduced to study social optima in very large populations of strategic agents. The main idea is to consider an infinite population and to simplify the analysis by using a mean field…

Optimization and Control · Mathematics 2023-03-01 Sebastian Baudelet , Brieuc Frénais , Mathieu Laurière , Amal Machtalay , Yuchen Zhu

Achieving the economical and stable operation of Multi-microgrids (MMG) systems is vital. However, there are still some challenging problems to be solved. Firstly, from the perspective of stable operation, it is necessary to minimize the…

Systems and Control · Electrical Eng. & Systems 2023-07-03 Yijian Wang , Yang Cui , Yang Li , Yang Xu

Time distributed optimization is an implementation strategy that can significantly reduce the computational burden of model predictive control by exploiting its robustness to incomplete optimization. When using this strategy, optimization…

Optimization and Control · Mathematics 2020-04-14 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

Optimal control of heterogeneous mean-field stochastic differential equations with common noise has not been addressed in the literature. In this work, we initiate the study of such models. We formulate the problem within a linear-quadratic…

Optimization and Control · Mathematics 2025-11-25 Filippo de Feo , Samy Mekkaoui

This study investigates the infinite-horizon optimal control problem for switched Boolean control networks with an average-cost criterion. A primary challenge of this problem is the prohibitively high computational cost when dealing with…

Systems and Control · Electrical Eng. & Systems 2020-07-14 Shuhua Gao , Changkai Sun , Cheng Xiang , Kairong Qin , Tong Heng Lee

We consider the controllability of large-scale linear networked dynamical systems when complete knowledge of network structure is unavailable and knowledge is limited to coarse summaries. We provide conditions under which average…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Nafiseh Ghoroghchian , Rajasekhar Anguluri , Gautam Dasarathy , Stark C. Draper

We consider the problem of controlling marginally stable linear systems using bounded control inputs for networked control settings in which the communication channel between the remote controller and the system is unreliable. We assume…

Optimization and Control · Mathematics 2010-04-07 Debasish Chatterjee , Saurabh Amin , Peter Hokayem , John Lygeros , S. Shankar Sastry