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Linear-quadratic optimal control problem for systems governed by forward-backward stochastic differential equations has been extensively studied over the past three decades. Recent research has revealed that for forward-backward control…

Optimization and Control · Mathematics 2025-04-22 Qi Lü , Bowen Ma , Hanxiao Wang

This work studies centralized radio resource management in metropolitan area networks with a very large number of access points and user devices. A central controller collects time-averaged traffic and channel conditions from all access…

Information Theory · Computer Science 2018-08-09 Zhiyi Zhou , Dongning Guo

Decentralized stochastic control refers to the multi-stage optimization of a dynamical system by multiple controllers that have access to different information. Decentralization of information gives rise to new conceptual challenges that…

Optimization and Control · Mathematics 2013-10-18 Aditya Mahajan , Mehnaz Mannan

A general backward stochastic linear-quadratic optimal control problem is studied, in which both the state equation and the cost functional contain the nonhomogeneous terms. The main feature of the problem is that the weighting matrices in…

Optimization and Control · Mathematics 2022-03-01 Jingrui Sun , Jiaqiang Wen , Jie Xiong

In this paper, we investigate a class of time-inconsistent discrete-time stochastic linear-quadratic optimal control problems, whose time-consistent solutions consist of an open-loop equilibrium control and a linear feedback equilibrium…

Optimization and Control · Mathematics 2017-03-07 Xun Li , Yuan-Hua Ni , Ji-Feng Zhang

Dual control addresses the trade-off between exploitation and exploration, where control inputs both regulate the system and generate informative data for estimation and identification. For certain problem classes, control and estimation…

Optimization and Control · Mathematics 2026-04-08 Tren Baltussen , Nathan P. Lawrence , Alexander Katriniok , Ali Mesbah , Maurice Heemels

A discrete time stochastic feedback control system with a noisy communication channel between the sensor and the controller is considered. The sensor has limited memory. At each time, the sensor transmits encoded symbol over the channel and…

Optimization and Control · Mathematics 2007-05-23 Aditya Mahajan , Demosthenis Teneketzis

Networked control systems (NCS) have attracted considerable attention in recent years. While the stabilizability and optimal control of NCS for a given communication system has already been studied extensively, the design of the…

Systems and Control · Computer Science 2018-10-12 Ben W. Carabelli , Rainer Blind , Frank Dürr , Kurt Rothermel

Many real-world control systems, such as the smart grid and human sensorimotor control systems, have decentralized components that react quickly using local information and centralized components that react slowly using a more global view.…

Optimization and Control · Mathematics 2017-11-15 Gautam Goel , Niangjun Chen , Adam Wierman

In this paper, we introduce the general concept of coded power control (CPC) in a particular setting of the interference channel. Roughly, the idea of CPC consists in embedding information (about a random state) into the transmit power…

Information Theory · Computer Science 2014-05-28 Benjamin Larrousse , Samson Lasaulce

We study an optimal control problem aimed at achieving a desired tradeoff between the network coherence and communication requirements in the distributed controller. Our objective is to add a certain number of edges to an undirected…

Optimization and Control · Mathematics 2018-11-26 Sepideh Hassan-Moghaddam , Mihailo R. Jovanović

This paper addresses the problem of learning the optimal control policy for a nonlinear stochastic dynamical system with continuous state space, continuous action space and unknown dynamics. This class of problems are typically addressed in…

Machine Learning · Computer Science 2019-04-18 Ran Wang , Karthikeya Parunandi , Dan Yu , Dileep Kalathil , Suman Chakravorty

This paper studies a class of continuous-time scalar-state stochastic Linear-Quadratic (LQ) optimal control problem with the linear control constraints. Applying the state separation theorem induced from its special structure, we develop…

Portfolio Management · Quantitative Finance 2018-06-12 Weiping Wu , Jianjun Gao , Junguo Lu , Xun Li

In this paper we propose a parallel coordinate descent algorithm for solving smooth convex optimization problems with separable constraints that may arise e.g. in distributed model predictive control (MPC) for linear network systems. Our…

Optimization and Control · Mathematics 2014-11-19 Ion Necoara , Dragos Clipici

We study the problem of control policy design for decentralized state-feedback linear quadratic control with a partially nested information structure, when the system model is unknown. We propose a model-based learning solution, which…

Optimization and Control · Mathematics 2022-05-30 Lintao Ye , Hao Zhu , Vijay Gupta

This paper deals with distributed control of microgrids composed of storages, generators, renewable energy sources, critical and controllable loads. We consider a stochastic formulation of the optimal control problem associated to the…

Optimization and Control · Mathematics 2021-06-16 Andrea Camisa , Giuseppe Notarstefano

This paper is concerned with a linear quadratic optimal control problem of delayed backward stochastic differential equations. An explicit representation is derived for the optimal control, which is a linear feedback of the entire past…

Optimization and Control · Mathematics 2020-08-07 Weijun Meng , Jingtao Shi

Since its first inception by Joseph Mitola III in 1998 cognitive radio (CR) systems have seen an explosion of papers in the communication community. However, the interaction of CR and control has remained vastly unexplored. In fact, when…

Signal Processing · Electrical Eng. & Systems 2017-11-01 Xiao Ma , Seddik M. Djouadi , Husheng Li , Teja Kuruganti

A finite horizon linear quadratic(LQ) optimal control problem is studied for a class of discrete-time linear fractional systems (LFSs) affected by multiplicative, independent random perturbations. Based on the dynamic programming technique,…

Optimization and Control · Mathematics 2016-07-01 J. J. Trujillo , V. M. Ungureanu

We propose a novel approach to solving input- and state-constrained parametric mixed-integer optimal control problems using Differentiable Predictive Control (DPC). Our approach follows the differentiable programming paradigm by learning an…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Ján Boldocký , Shahriar Dadras Javan , Martin Gulan , Martin Mönnigmann , Ján Drgoňa