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Limited bandwidth and limited saturation in actuators are practical concerns in control systems. Mathematically, these limitations manifest as constraints being imposed on the control actions, their rates of change, and more generally, the…

最优化与控制 · 数学 2023-05-25 Siddhartha Ganguly , Souvik Das , Debasish Chatterjee , Ravi Banavar

The effects of real-time provision of travel-time information on the behaviour of drivers are considered. The model of Marecek et al. [arXiv:1406.7639, Int. J. Control 88(10), 2015] is extended to consider uncertainty in the response of a…

最优化与控制 · 数学 2017-05-26 Jakub Marecek , Robert Shorten , Jia Yuan Yu

This article considers a discrete-time robust optimal control problem on matrix Lie groups. The underlying system is assumed to be perturbed by exogenous unmeasured bounded disturbances, and the control problem is posed as a min-max optimal…

最优化与控制 · 数学 2020-07-28 Anant A. Joshi , Debasish Chatterjee , Ravi N. Banavar

In this paper, the maximum entropy property of the discrete-time first-order stable spline kernel is studied. The advantages of studying this property in discrete-time domain instead of continuous-time domain are outlined. One of such…

系统与控制 · 计算机科学 2015-04-14 Tohid Ardeshiri , Tianshi Chen

Dynamic contracts with multiple agents is a classical decentralized decision-making problem with asymmetric information. In this paper, we extend the single-agent dynamic incentive contract model in continuous-time to a multi-agent scheme…

计量经济学 · 经济学 2017-10-10 Qi Luo , Romesh Saigal

Multi-agent trajectory planning requires ensuring both safety and efficiency, yet deadlocks remain a significant challenge, especially in obstacle-dense environments. Such deadlocks frequently occur when multiple agents attempt to traverse…

机器人学 · 计算机科学 2025-07-29 Haoze Dong , Meng Guo , Chengyi He , Zhongkui Li

Most modern control systems are switched, meaning they have continuous as well as discrete decision variables. Switched systems often have constraints called dwell-time constraints (e.g., cycling constraints in a heat pump) on the switching…

系统与控制 · 电气工程与系统科学 2020-11-05 Moad Abudia , Michael Harlan , Ryan Self , Rushikesh Kamalapurkar

We consider stochastic control with discretionary stopping for the drift of a diffusion process over an infinite time horizon. The objective is to choose a control process and a stopping time to minimize the expectation of a convex terminal…

最优化与控制 · 数学 2025-06-24 Václav E. Beneš , Georgy Gaitsgori , Ioannis Karatzas

We develop a discrete analogue of Hamilton-Jacobi theory in the framework of discrete Hamiltonian mechanics. The resulting discrete Hamilton-Jacobi equation is discrete only in time. We describe a discrete analogue of Jacobi's solution and…

最优化与控制 · 数学 2011-08-15 Tomoki Ohsawa , Anthony M. Bloch , Melvin Leok

We consider mean field game systems in time-horizon $(0,T)$, where the individual cost functional depends locally on the density distribution of the agents, and the Hamiltonian is locally uniformly convex. We show that, even if the coupling…

偏微分方程分析 · 数学 2021-05-28 Marco Cirant , Alessio Porretta

We consider the minimum-time problem for a multi-input control-affine system, where we assume that the controlled vector fields generate a non-involutive distribution of constant dimension, and where we do not assume a-priori bounds for the…

最优化与控制 · 数学 2014-04-30 Francesca Chittaro , Gianna Stefani

In this paper, we consider the cooperative output regulation problem for heterogeneous linear multi-agent systems in the presence of communication constraints. Under standard assumptions on the agents dynamics, we propose a distributed…

系统与控制 · 计算机科学 2016-10-06 Abdelkader Abdessameud , Abdelhamid Tayebi

This paper mainly investigates consensus problem with pull-based event-triggered feedback control. For each agent, the diffusion coupling feedbacks are based on the states of its in-neighbors at its latest triggering time and the next…

最优化与控制 · 数学 2015-04-27 Xinlei Yi , Wenlian Lu , Tianping Chen

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…

最优化与控制 · 数学 2025-11-07 Christian Fiedler , Alessandro Scagliotti

In this paper we study multiagent models with time-varying type change. Assume that there exist a closed system of $N$ agents classified into $r$ types according to their states of an internal system; each agent changes its type by an…

概率论 · 数学 2007-05-23 Biao Wu

This work focuses on the problem of distributed optimization in multi-agent cyberphysical systems, where a legitimate agent's iterates are influenced both by the values it receives from potentially malicious neighboring agents, and by its…

机器人学 · 计算机科学 2025-01-16 Michal Yemini , Angelia Nedić , Andrea J. Goldsmith , Stephanie Gil

We obtain the first probabilistic proof of continuous differentiability of time-dependent optimal boundaries in optimal stopping problems. The underlying stochastic dynamics is a one-dimensional, time-inhomogeneous diffusion. The gain…

概率论 · 数学 2024-05-28 Tiziano De Angelis , Damien Lamberton

In this paper we introduce the notion of optimization under control and communication constraint in a robotic network. Starting from a general setup, we focus our attention on the problem of achieving rendezvous in minimum time for a…

最优化与控制 · 数学 2007-05-23 Giuseppe Notarstefano , Francesco Bullo

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

系统与控制 · 电气工程与系统科学 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

We investigate constrained optimal control problems for linear stochastic dynamical systems evolving in discrete time. We consider minimization of an expected value cost over a finite horizon. Hard constraints are introduced first, and then…

最优化与控制 · 数学 2011-07-07 Eugenio Cinquemani , Mayank Agarwal , Debasish Chatterjee , John Lygeros
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