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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

In this work, we study a class of mean-field linear quadratic Gaussian (LQG) problems. Under suitable conditions, explicit solutions of the distribution-dependent optimal control problems are obtained. Riccati systems are derived by…

Probability · Mathematics 2020-08-28 Yun Li , Qingshuo Song , Fuke Wu , George Yin

A mixed linear quadratic (MLQ, for short) optimal control problem is considered. The controlled stochastic system consists of two diffusion processes which are in different time horizons. There are two control actions: a standard control…

Optimization and Control · Mathematics 2012-12-05 Jianhui Huang , Xun Li , Jiongmin Yong

Control synthesis under constraints is at the forefront of research on autonomous systems, in part due to its broad application from low-level control to high-level planning, where computing control inputs is typically cast as a constrained…

Optimization and Control · Mathematics 2026-03-23 Panagiotis Rousseas , Haejoon Lee , Dimos V. Dimarogonas , Dimitra Panagou

This paper studies the linear quadratic regulation (LQR) problem of unknown discrete-time systems via dynamic output feedback learning control. In contrast to the state feedback, the optimality of the dynamic output feedback control for…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Kedi Xie , Martin Guay , Shimin Wang , Fang Deng , Maobin Lu

We introduce a new approach to assess the error of control problems we aim to optimize. The method offers a strategy to define new control pulses that are not necessarily optimal but still able to yield an error not larger than some fixed a…

Quantum Physics · Physics 2011-07-22 Antonio Negretti , Rosario Fazio , Tommaso Calarco

Quantizers take part in nearly every digital signal processing system which operates on physical signals. They are commonly designed to accurately represent the underlying signal, regardless of the specific task to be performed on the…

Signal Processing · Electrical Eng. & Systems 2019-07-24 Nir Shlezinger , Yonina C. Eldar , Miguel R. D. Rodrigues

For linear time-invariant (LTI) systems, the design of an optimal controller is a commonly encountered problem in many applications. Among all the optimization approaches available, the linear quadratic regulator (LQR) methodology certainly…

Optimization and Control · Mathematics 2022-03-29 Zilong Cheng , Jun Ma , Xiaocong Li , Masayoshi Tomizuka , Tong Heng Lee

We consider optimal distributed controller synthesis for an interconnected system subject to communication constraints, in linear quadratic settings. Motivated by the problem of finite heavy duty vehicle platooning, we study systems…

Optimization and Control · Mathematics 2012-04-10 Omid Khorsand , Assad Alam , Ather Gattami

This paper is concerned with the Coherent Quantum Linear Quadratic Gaussian (CQLQG) control problem of finding a stabilizing measurement-free quantum controller for a quantum plant so as to minimize an infinite-horizon mean square…

Quantum Physics · Physics 2015-02-03 Arash Kh. Sichani , Igor G. Vladimirov , Ian R. Petersen

The Linear Quadratic Gaussian (LQG) regulator is a cornerstone of optimal control theory, yet its performance can degrade significantly when the noise distributions deviate from the assumed Gaussian model. To address this limitation, this…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Riccardo Cescon , Andrea Martin , Giancarlo Ferrari-Trecate

A method is presented for parallelizing the computation of solutions to discrete-time, linear-quadratic, finite-horizon optimal control problems, which we will refer to as LQR problems. This class of problem arises frequently in robotic…

Optimization and Control · Mathematics 2018-09-18 Forrest Laine , Claire Tomlin

In integrated sensing and communication (ISAC) systems, random signaling is used to convey useful information as well as sense the environment. Such randomness poses challenges in various components in sensing signal processing. In this…

Information Theory · Computer Science 2024-03-19 Hang Ruan , Fan Liu

Satellite mission planning for Earth observation satellites is a combinatorial optimization problem that consists of selecting the optimal subset of imaging requests, subject to constraints, to be fulfilled during an orbit pass of a…

A method is presented for solving the discrete-time finite-horizon Linear Quadratic Regulator (LQR) problem subject to auxiliary linear equality constraints, such as fixed end-point constraints. The method explicitly determines an affine…

Systems and Control · Computer Science 2018-09-18 Forrest Laine , Claire Tomlin

This paper proposes an automatic controller tuning framework based on linear optimal control combined with Bayesian optimization. With this framework, an initial set of controller gains is automatically improved according to a pre-defined…

Robotics · Computer Science 2017-09-21 Alonso Marco , Philipp Hennig , Jeannette Bohg , Stefan Schaal , Sebastian Trimpe

The Error-in-Variables model of system identification/control involves nontrivial input and measurement corruption of observed data, resulting in generically nonconvex optimization problems. This paper performs full-state-feedback…

Optimization and Control · Mathematics 2024-05-21 Jared Miller , Tianyu Dai , Mario Sznaier

This work addresses the problem of risk-sensitive control for nonlinear systems with imperfect state observations, extending results for the linear case. In particular, we derive an algorithm that can compute local solutions with…

Optimization and Control · Mathematics 2021-10-22 Bilal Hammoud , Armand Jordana , Ludovic Righetti

A time-inconsistent optimal control problem is formulated and studied for a controlled linear ordinary differential equation with quadratic cost functional. A notion of equilibrium control is introduced, which can be regarded as a…

Optimization and Control · Mathematics 2012-04-10 Jiongmin Yong

For quantum systems with linear dynamics in phase space much of classical feedback control theory applies. However, there are some questions that are sensible only for the quantum case, such as: given a fixed interaction between the system…

Quantum Physics · Physics 2009-11-10 H. M . Wiseman , A. C. Doherty
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