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The aim of this paper is to shed light on the problem of controlling a complex network with minimal control energy. We show first that the control energy depends on the time constant of the modes of the network, and that the closer the…

系统与控制 · 计算机科学 2018-03-12 Gustav Lindmark , Claudio Altafini

We model, simulate and control the guiding problem for a herd of evaders under the action of repulsive drivers. The problem is formulated in an optimal control framework, where the drivers (controls) aim to guide the evaders (states) to a…

最优化与控制 · 数学 2020-05-01 Dongnam Ko , Enrique Zuazua

Real-world network systems are inherently dynamic, with network topologies undergoing continuous changes over time. Previous works often focus on static networks or rely on complete prior knowledge of evolving topologies, whereas real-world…

系统与控制 · 电气工程与系统科学 2025-09-03 Chunyu Pan , Xizhe Zhang , Haoyu Zheng , Zhao Su , Changsheng Zhang , Weixiong Zhang

A new class of stochastic processes called independent and periodically identically distributed (i.p.i.d.) processes is defined to capture periodically varying statistical behavior. A novel Bayesian theory is developed for detecting a…

信号处理 · 电气工程与系统科学 2019-04-09 Taposh Banerjee , Prudhvi Gurram , Gene Whipps

This paper continues the examination of inventory control in which the inventory is modelled by a diffusion process and a long-term average cost criterion is used to make decisions. The class of such models under consideration have general…

最优化与控制 · 数学 2018-09-10 Kurt L. Helmes , Richard H. Stockbridge , Chao Zhu

A common aspect of today's cyber-physical systems is that multiple optimization-based control tasks may execute in a shared processor. Such control tasks make use of online optimization and thus have large execution times; hence, their…

最优化与控制 · 数学 2022-03-14 Mehdi Hosseinzadeh , Bruno Sinopoli , Ilya Kolmanovsky , Sanjoy Baruah

We introduce the balanced crown decomposition that captures the structure imposed on graphs by their connected induced subgraphs of a given size. Such subgraphs are a popular modeling tool in various application areas, where the non-local…

数据结构与算法 · 计算机科学 2021-06-25 Katrin Casel , Tobias Friedrich , Davis Issac , Aikaterini Niklanovits , Ziena Zeif

We consider an arbitrary network of $M/M/\infty$ queues with controlled transitions between queues. We consider optimal control problems where the costs are linear functions of the state and inputs over a finite or infinite horizon. We…

最优化与控制 · 数学 2025-09-11 Giovanni Pugliese Carratelli , Ioannis Lestas

In this paper we introduce an iterative Jacobi algorithm for solving distributed model predictive control (DMPC) problems, with linear coupled dynamics and convex coupled constraints. The algorithm guarantees stability and persistent…

最优化与控制 · 数学 2008-09-23 Dang Doan , Tamas Keviczky , Ion Necoara , Moritz Diehl

Choosing control inputs randomly can result in a reduced expected cost in optimal control problems with stochastic constraints, such as stochastic model predictive control (SMPC). We consider a controller with initial randomization, meaning…

机器人学 · 计算机科学 2016-07-07 Masahiro Ono , Mahmoud El Chamie , Marco Pavone , Behcet Acikmese

We study unconstrained and constrained linear quadratic problems and investigate the suboptimality of the model predictive control (MPC) method applied to such problems. Considering MPC as an approximate scheme for solving the related fixed…

最优化与控制 · 数学 2023-06-06 Yuchao Li , Aren Karapetyan , John Lygeros , Karl H. Johansson , Jonas Mårtensson

We consider a finite or countable collection of one-dimensional Brownian particles whose dynamics at any point in time is determined by their rank in the entire particle system. Using Transportation Cost Inequalities for stochastic…

概率论 · 数学 2010-11-11 Soumik Pal , Mykhaylo Shkolnikov

In this note, we consider infinite horizon optimal control problems with deterministic systems. Since exact solutions to these problems are often intractable, we propose a parallel model predictive control (MPC) method that provides an…

最优化与控制 · 数学 2025-04-29 Yuchao Li , Aren Karapetyan , Niklas Schmid , John Lygeros , Karl H. Johansson , Jonas Mårtensson

In this paper, a stochastic control problem under model uncertainty with general penalty term is studied. Two types of penalties are considered. The first one is of type f-divergence penalty treated in the general framework of a continuous…

概率论 · 数学 2016-10-11 Wahid Faidi , Anis Matoussi , Mohamed Mnif

In this paper, we study the distributed control of networked cyber-physical systems when a much more energy-efficient distributed communication management strategy is proposed to solve the well-studied consensus problem. In contrast to the…

系统与控制 · 计算机科学 2016-09-14 Yongcan Cao , Eduardo Pasiliao

We consider the canonical (quantity-based) network revenue management problem, where a firm accepts or rejects incoming customer requests irrevocably in order to maximize expected revenue given limited resources. Due to the curse of…

最优化与控制 · 数学 2018-12-12 Pornpawee Bumpensanti , He Wang

We consider a continuous-review inventory system in which the setup cost of each order is a general function of the order quantity and the demand process is modeled as a Brownian motion with a positive drift. Assuming the holding and…

最优化与控制 · 数学 2020-09-03 Shuangchi He , Dacheng Yao , Hanqin Zhang

In this paper we provide a complete theoretical analysis of a two-dimensional degenerate non convex singular stochastic control problem. The optimisation is motivated by a storage-consumption model in an electricity market, and features a…

最优化与控制 · 数学 2015-10-29 Tiziano De Angelis , Giorgio Ferrari , John Moriarty

This paper investigates a class of optimal control problems associated with Markov processes with local state information. The decision-maker has only local access to a subset of a state vector information as often encountered in…

系统与控制 · 电气工程与系统科学 2020-05-12 Guanze Peng , Veeraruna Kavitha , Qunayan Zhu

We consider the problem of tracking a target whose dynamics is modeled by a continuous It\=o semi-martingale. The aim is to minimize both deviation from the target and tracking efforts. We establish the existence of asymptotic lower bounds…

概率论 · 数学 2015-10-16 Jiatu Cai , Mathieu Rosenbaum , Peter Tankov