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This paper is concerned with a kind of linear-quadratic (LQ) optimal control problem of backward stochastic differential equation (BSDE) with partial information. The cost functional includes cross terms between the state and control, and…

最优化与控制 · 数学 2025-09-03 Jialong Li , Zhiyong Yu , Wanying Yue

In this paper, we revisit the sequential source coding framework to analyze fundamental performance limitations of discrete-time stochastic control systems subject to feedback data-rate constraints in finite-time horizon. The basis of our…

系统与控制 · 电气工程与系统科学 2020-05-19 Photios A. Stavrou , Mikael Skoglund , Takashi Tanaka

We formulate and solve a discrete-time linear-quadratic regulation (LQR) problem in a finite horizon that penalizes temporal variability and stochastic variability of the state trajectory. Our approach enables the user to strike a balance…

最优化与控制 · 数学 2026-03-26 Chuanning Wei , Kin Fung Li , Dionysis Kalogerias , Margaret P. Chapman

In this paper, we consider the analysis and control of continuous-time nonlinear systems to ensure universal shifted stability and performance, i.e., stability and performance w.r.t. each forced equilibrium point of the system. This…

系统与控制 · 电气工程与系统科学 2023-08-17 Patrick J. W. Koelewijn , Siep Weiland , Roland Tóth

We study in this paper a class of constrained linear-quadratic (LQ) optimal control problem formulations for the scalar-state stochastic system with multiplicative noise, which has various applications, especially in the financial risk…

系统与控制 · 计算机科学 2017-09-19 Weipin Wu , Jianjun Gao , Duan Li , Yun Shi

This paper develops a data-driven stabilization method for continuous-time linear time-invariant systems with theoretical guarantees and no need for signal derivatives. The framework, based on linear matrix inequalities (LMIs), is…

最优化与控制 · 数学 2024-11-01 Alessandro Bosso , Marco Borghesi , Andrea Iannelli , Giuseppe Notarstefano , Andrew R. Teel

The purpose of this paper is to study the mixed linear quadratic Gaussian (LQG) and $H_\infty$ optimal control problem for linear quantum stochastic systems, where the controller itself is also a quantum system, often referred to as…

量子物理 · 物理学 2016-11-15 Lei Cui , Zhiyuan Dong , Guofeng Zhang , Heung Wing Joseph Lee

We present a quantum algorithm for solving the finite-horizon discrete-time Linear Quadratic Gaussian (LQG) control problem, which integrates optimal control and state estimation in the presence of stochastic disturbances and noise.…

量子物理 · 物理学 2025-07-15 Nahid Binandeh Dehaghani , Rafal Wisniewski , A. Pedro Aguiar

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…

最优化与控制 · 数学 2017-09-25 Marcus Thelander Andrén , Bo Bernhardsson , Anton Cervin , Kristian Soltesz

In this paper we synthesize behavioral ideas with geometric control theory and propose a unified geometric framework for representing all solutions of a Linear Time Invariant Differential-Algebraic Equation (DAE-LTI) as outputs of classical…

最优化与控制 · 数学 2016-11-02 Mihaly Petreczky , Sergiy Zhuk

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

概率论 · 数学 2017-11-28 Matteo Basei , Huyên Pham

This paper is concerned with linear-quadratic-Gaussian (LQG) control for a field-mediated feedback connection of a plant and a coherent (measurement-free) controller. Both the plant and the controller are multimode open quantum harmonic…

系统与控制 · 电气工程与系统科学 2020-02-07 Igor G. Vladimirov , Ian R. Petersen

For various typical cases and situations where the formulation results in an optimal control problem, the Linear Quadratic Regulator (LQR) approach and its variants continue to be highly attractive. In certain scenarios, it can happen that…

最优化与控制 · 数学 2023-02-14 Jun Ma , Zilong Cheng , Xiaocong Li , Wenxin Wang , Masayoshi Tomizuka , Tong Heng Lee

We consider a discrete-time Linear-Quadratic-Gaussian (LQG) control problem in which Massey's directed information from the observed output of the plant to the control input is minimized while required control performance is attainable.…

最优化与控制 · 数学 2017-06-13 Takashi Tanaka , Peyman Mohajerin Esfahani , Sanjoy K. Mitter

This paper studies the problem of verifying dissipativity of linear time-invariant (LTI) systems using input-output data. We leverage behavioral systems theory to express dissipativity in terms of quadratic difference forms (QDFs), allowing…

最优化与控制 · 数学 2026-02-17 Henk J. van Waarde , Jeremy Coulson , Alberto Padoan

Given the recent surge of interest in data-driven control, this paper proposes a two-step method to study robust data-driven control for a parameter-unknown linear time-invariant (LTI) system that is affected by energy-bounded noises.…

系统与控制 · 电气工程与系统科学 2022-03-15 Jiabao He , Xuan Zhang , Feng Xu , Junbo Tan , Xueqian Wang

A $\mathcal{H}_2$-guaranteed sparse-feedback linear-quadratic (LQ) optimal control with convex parameterization and convex-bounded uncertainty is studied in this paper, where $\ell_0$-penalty is added into the $\mathcal{H}_2$ cost to…

最优化与控制 · 数学 2024-12-11 Lechen Feng , Yuan-Hua Ni , Xuebo Zhang

We consider the problem of finite-horizon optimal control of a discrete linear time-varying system subject to a stochastic disturbance and fully observable state. The initial state of the system is drawn from a known Gaussian distribution,…

最优化与控制 · 数学 2017-11-08 Maxim Goldshtein , Panagiotis Tsiotras

In this paper, we consider the inverse optimal control problem for the discrete-time linear quadratic regulator, over finite-time horizons. Given observations of the optimal trajectories, and optimal control inputs, to a linear…

最优化与控制 · 数学 2018-10-31 Han Zhang , Jack Umenberger , Xiaoming Hu

In this paper we propose a framework to analyze iterative first-order optimization algorithms for time-varying convex optimization. We assume that the temporal variability is caused by a time-varying parameter entering the objective, which…

最优化与控制 · 数学 2026-03-05 Fabian Jakob , Andrea Iannelli