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The problem of designing optimal quantization rules for sequential detectors is investigated. First, it is shown that this task can be solved within the general framework of active sequential detection. Using this approach, the optimal…

Information Theory · Computer Science 2021-07-29 Michael Fauß , Manuel S. Stein , H. Vincent Poor

We consider the problem of finding an event-based sampling scheme that optimizes the trade-off between average sampling rate and control performance in a linear-quadratic-Gaussian (LQG) control problem setting with output feedback. Our…

Optimization and Control · Mathematics 2017-09-25 Marcus Thelander Andrén , Bo Bernhardsson , Anton Cervin , Kristian Soltesz

Quadratic Program(QP) based state-feedback controllers, whose inequality constraints bound the rate of change of control barrier(CBFs) and lyapunov function with a class-$\mathcal{K}$ function of their values, are sensitive to the…

Optimization and Control · Mathematics 2022-06-17 Hardik Parwana , Dimitra Panagou

In this paper, we apply an optimal LQ controller, which has an inherent structure that allows for a distributed implementation, to an irrigation network. The network consists of a water reservoir and connected water canals. The goal is to…

Optimization and Control · Mathematics 2022-04-01 Martin Heyden , Richard Pates , Anders Rantzer

This paper is concerned with a linear fractional representation approach to the synthesis of linear coherent quantum controllers for a given linear quantum plant. The plant and controller represent open quantum harmonic oscillators and are…

Quantum Physics · Physics 2017-03-23 Arash Kh. Sichani , Ian R. Petersen

Irregular linear quadratic control (LQ, was called Singular LQ) has been a long-standing problem since 1970s. This paper will show that an irregular LQ control (deterministic) is solvable (for arbitrary initial value) if and only if the LQ…

Optimization and Control · Mathematics 2020-01-22 Huanshui Zhang , Juanjuan Xu

In this paper, we consider a control synthesis problem for a class of polynomial dynamical systems subject to bounded disturbances and with input constraints. More precisely, we aim at synthesizing at the same time a controller and an…

Optimization and Control · Mathematics 2011-07-11 Mohamed Amin Ben Sassi , Antoine Girard

Necessary optimality conditions and numerical methods for solving an optimal control problem for a linear continuous-time dynanical system with controlled coefficients and quadratic goal functional are discussed.

Optimization and Control · Mathematics 2010-04-20 Olga V. Baturina , Alexander V. Bulatov , Vadim F. Krotov

This paper investigates the stochastic linear-quadratic (LQ, for short) optimal control problems with non-Markovian regime switching in a finite time horizon where the state equation is multi-dimensional. Similar to the classical stochastic…

Optimization and Control · Mathematics 2023-07-18 Yuyang Chen , Peng Luo

We consider the optimal control problem for a linear conditional McKean-Vlasov equation with quadratic cost functional. The coefficients of the system and the weigh-ting matrices in the cost functional are allowed to be adapted processes…

Probability · Mathematics 2017-03-09 Huyên Pham

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

This work considers the problem of approximating initial condition and time-dependent optimal control and trajectory surfaces using multivariable Fourier series. A modified Augmented Lagrangian algorithm for translating the optimal control…

Optimization and Control · Mathematics 2023-12-14 Gabriel Nicolosi , Terry Friesz , Christopher Griffin

This article presents a unified approach to quadratic optimal control for both linear and nonlinear discrete-time systems, with a focus on trajectory tracking. The control strategy is based on minimizing a quadratic cost function that…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Igor Ladnik

We consider a networked control system where a linear time-invariant (LTI) plant, subject to a stochastic disturbance, is controlled over a communication channel with colored noise and a signal-to-noise ratio (SNR) constraint. The…

Systems and Control · Computer Science 2012-04-02 Erik Johannesson , Anders Rantzer , Bo Bernhardsson

We investigate the problem of optimal control synthesis for Markov Decision Processes (MDPs), addressing both qualitative and quantitative objectives. Specifically, we require the system to satisfy a qualitative task specified by a Linear…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Yu Chen , Xuanyuan Yin , Shaoyuan Li , Xiang Yin

Entanglement generation can be robust against noise in approaches that deliberately incorporate dissipation into the system dynamics. The presence of additional dissipation channels may, however, limit fidelity and speed of the process.…

Quantum Physics · Physics 2019-01-28 Karl P. Horn , Florentin Reiter , Yiheng Lin , Dietrich Leibfried , Christiane P. Koch

Mathematical theory of the quantum systems control is based on some ideas of the optimal control theory. These ideas are developed here as applied to these systems. The results obtained meet the deficiencies in the basis and algorithms of…

Quantum Physics · Physics 2008-05-22 V. F. Krotov

This paper examines mean field linear-quadratic-Gaussian (LQG) social optimum control with volatility-uncertain common noise. The diffusion terms in the dynamics of agents contain an unknown volatility process driven by a common noise. We…

Optimization and Control · Mathematics 2019-12-16 Jianhui Huang , Bing-Chang Wang , Jiongmin Yong

This paper is concerned with an infinite horizon stochastic linear quadratic (LQ, for short) optimal control problems with conditional mean-field terms in a switching environment. Different from [17], the cost functionals do not have…

Optimization and Control · Mathematics 2025-03-25 Hongwei Mei , Rui Wang , Qingmeng Wei , Jiongmin Yong

Finding optimal feedback controllers for nonlinear dynamic systems from data is hard. Recently, Bayesian optimization (BO) has been proposed as a powerful framework for direct controller tuning from experimental trials. For selecting the…

Systems and Control · Computer Science 2018-02-07 Alonso Marco , Philipp Hennig , Stefan Schaal , Sebastian Trimpe