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We propose a simple and original approach for solving linear-quadratic mean-field stochastic control problems. We study both finite-horizon and infinite-horizon pro\-blems, and allow notably some coefficients to be stochastic. Extension to…

Probability · Mathematics 2018-10-26 Matteo Basei , Huyên Pham

This paper presents a constrained iterative Linear Quadratic Regulator (iLQR) framework for nonlinear optimal control problems with box constraints on both states and control inputs. We incorporate logarithmic barrier functions into the…

Optimization and Control · Mathematics 2026-02-06 Abhijeet , Suman Chakravorty

In this paper, we study the irregular output feedback linear quadratic (LQ) control problem, which is a continuous work of previous works for irregular LQ control [33] where the state is assumed to be exactly known priori. Different from…

Optimization and Control · Mathematics 2019-05-17 Juanjuan Xu , Huanshui Zhang

This paper is concerned with optimal control of stochastic fully coupled forward-backward linear quadratic (FBLQ) problems with indefinite control weight costs. In order to obtain the state feedback representation of the optimal control, we…

Optimization and Control · Mathematics 2019-02-27 Mingshang Hu , Shaolin Ji , Xiaole Xue

A discrete-time stochastic LQ problem with multiplicative noises and state transmission delay is studied in this paper, which does not require any definiteness constraint on the cost weighting matrices. From some abstract representations of…

Optimization and Control · Mathematics 2017-05-30 Yuan-Hua Ni , Cedric Ka-Fai Yiu , Huanshui Zhang , Ji-Feng Zhang

This paper investigates a new class of homogeneous stochastic control problems with cone control constraints, extending the classical homogeneous stochastic linear-quadratic (LQ) framework to encompass nonlinear system dynamics and…

Optimization and Control · Mathematics 2025-07-30 Ying Hu , Xiaomin Shi , Zuo Quan Xu

This paper addresses a risk-constrained decentralized stochastic linear-quadratic optimal control problem with one remote controller and one local controller, where the risk constraint is posed on the cumulative state weighted variance in…

Optimization and Control · Mathematics 2023-07-19 Jia Hui , Yuan-Hua Ni

The Linear Quadratic Gaussian (LQG) controller is known to be inherently fragile to model misspecifications common in real-world situations. We consider discrete-time partially observable stochastic linear systems and provide a…

Optimization and Control · Mathematics 2025-07-31 Marta Fochesato , Lucia Falconi , Mattia Zorzi , Augusto Ferrante , John Lygeros

In this paper, we study the problem of how to optimally steer the state covariance of a general continuous-time linear stochastic system over a finite time interval subject to additive noise. Optimality here means reaching a target state…

Systems and Control · Electrical Eng. & Systems 2023-02-16 Fengjiao Liu , Panagiotis Tsiotras

We present an optimal control-based strategy to enhance the estimation of impulse-like disturbances in continuously monitored linear classical and quantum systems by exploiting non-equilibrium states. Using optimal estimation techniques for…

Quantum Physics · Physics 2026-05-13 Kaspar Schmerling , Andreas Kugi , Andreas Deutschmann-Olek

In networked control systems, often the sensory signals are quantized before being transmitted to the controller. Consequently, performance is affected by the coarseness of this quantization process. Modern communication technologies allow…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Dipankar Maity , Panagiotis Tsiotras

In this paper, the solvability of the Inverse Optimal Control (IOC) problem based on two existing minimum principal methods, is analysed. The aim of this work is to answer the question regarding what kinds of trajectories, that is depending…

Optimization and Control · Mathematics 2024-03-15 Afreen Islam , Guido Herrmann , Joaquin Carrasco

A fundamental question in neuroscience is how the brain creates an internal model of the world to guide actions using sequences of ambiguous sensory information. This is naturally formulated as a reinforcement learning problem under partial…

Machine Learning · Computer Science 2020-11-02 Minhae Kwon , Saurabh Daptardar , Paul Schrater , Xaq Pitkow

In this paper, we propose a method for estimating the algebraic Riccati equation (ARE) with respect to an unknown discrete-time system from the system state and input observation. The inverse optimal control (IOC) problem asks, ``What…

Optimization and Control · Mathematics 2024-02-12 Shuhei Sugiura , Ryo Ariizumi , Masaya Tanemura , Toru Asai , Shun-ichi Azuma

This paper is concerned with a finite-horizon inverse control problem, which has the goal of reconstructing, from observations, the possibly non-convex and non-stationary cost driving the actions of an agent. In this context, we present a…

Optimization and Control · Mathematics 2024-06-27 Emiland Garrabe , Hozefa Jesawada , Carmen Del Vecchio , Giovanni Russo

Linear-quadratic optimal control problems are considered for mean-field stochastic differential equations with deterministic coefficients. Time-inconsistency feature of the problems is carefully investigated. Both open-loop and closed-loop…

Optimization and Control · Mathematics 2013-05-07 Jiongmin Yong

In many human-in-the-loop robotic applications such as robot-assisted surgery and remote teleoperation, predicting the intended motion of the human operator may be useful for successful implementation of shared control, guidance virtual…

Robotics · Computer Science 2018-03-28 Arun Kumar Singh , Sigal Berman , Ilana Nisky

This is an expository paper which discusses an approach to the LQG/LTR design problem for finite-dimensional SISO control systems. The approach is based on the utilisation of weighting augmentation for incorporating design specifications…

Systems and Control · Electrical Eng. & Systems 2025-09-29 Mahyar Mahinzaeim , Kamyar Mehran

This paper presents the numerical discretization methods of the continuous-time linear-quadratic optimal control problems (LQ-OCPs) with time delays. We describe the weight matrices of the LQ-OCPs as differential equations systems, allowing…

Systems and Control · Electrical Eng. & Systems 2024-04-15 Zhanhao Zhang , Steen Hørsholt , John Bagterp Jørgensen

Inverse optimal control can be used to characterize behavior in sequential decision-making tasks. Most existing work, however, is limited to fully observable or linear systems, or requires the action signals to be known. Here, we introduce…

Machine Learning · Computer Science 2023-10-31 Dominik Straub , Matthias Schultheis , Heinz Koeppl , Constantin A. Rothkopf