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We propose a provably stabilizing and tractable approach for control of constrained linear systems under intermittent observations and unreliable transmissions of control commands. A smart sensor equipped with a Kalman filter is employed…

Optimization and Control · Mathematics 2020-04-14 Prabhat K. Mishra , Debasish Chatterjee , Daniel E. Quevedo

This paper formulates a framework for the analysis and distributed control of interconnected systems from the behavioural perspective. The discussions are carried out from the viewpoint of set theory and the results are completely…

Systems and Control · Electrical Eng. & Systems 2021-03-19 Yitao Yan , Jie Bao , Biao Huang

This paper is concerned with the partial information optimal control problem of wa controlled forward-backward stochastic differential equation of jump diffusion with correlated noises between the system and the observation. For this type…

Probability · Mathematics 2017-08-28 Qingxin Meng

In this paper we consider an energy storage optimization problem in finite time in a model with partial information that allows for a changing economic environment. The state process consists of the storage level controlled by the storage…

Mathematical Finance · Quantitative Finance 2016-06-21 Anton A. Shardin , Michaela Szölgyenyi

We consider a multi-period stochastic control problem where the multivariate driving stochastic factor of the system has known marginal distributions but uncertain dependence structure. To solve the problem, we propose to implement the…

Optimization and Control · Mathematics 2022-09-13 Erhan Bayraktar , Tao Chen

In this paper we introduce a framework for option model composition. Option models are temporal abstractions that, like macro-operators in classical planning, jump directly from a start state to an end state. Prior work has focused on…

Artificial Intelligence · Computer Science 2012-07-03 David Silver , Kamil Ciosek

In this two-part paper, we identify a broad class of decentralized output-feedback LQG systems for which the optimal control strategies have a simple intuitive estimation structure and can be computed efficiently. Roughly, we consider the…

Systems and Control · Computer Science 2014-08-13 Ashutosh Nayyar , Laurent Lessard

This paper investigates the $H_{2}/H_{\infty}$ control problem for linear stochastic differential systems under partial observation. Unlike existing studies that assume full state accessibility, we consider the scenario where the controller…

Optimization and Control · Mathematics 2026-04-24 Changwang Xiao , Nan Yang , Qingxin Meng

We consider the stochastic optimal control problem for the dynamical system of the stochastic differential equation driven by a local martingale with a spatial parameter. Assuming the convexity of the control domain, we obtain the…

Probability · Mathematics 2021-09-15 Jian Song , Meng Wang

Some deterministic cellular automata have been observed to follow the pattern of the second law of thermodynamics: starting from a partially disordered state, the system evolves towards a state of equilibrium characterized by maximal…

Cellular Automata and Lattice Gases · Physics 2015-05-27 Siamak Taati

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

This paper addresses a task allocation problem for a large-scale robotic swarm, namely swarm distribution guidance problem. Unlike most of the existing frameworks handling this problem, the proposed framework suggests utilising local…

Multiagent Systems · Computer Science 2018-11-30 Inmo Jang , Hyo-Sang Shin , Antonios Tsourdos

Decision making in modern stochastic systems, including e-commerce platforms, financial markets and healthcare systems, has evolved into a multifaceted process that combines information acquisition and adaptive information sources. This…

Optimization and Control · Mathematics 2026-01-07 Renyuan Xu , Thaleia Zariphopoulou , Luhao Zhang

In this work we provide explicit conditions on the existence of optimal feedback controls for stochastic processes with regime-switching. We use the compactification method which needs less regularity conditions on the coefficients of the…

Optimization and Control · Mathematics 2020-01-14 Jinghai Shao

This article is a continuation of a previous work where we studied infinite horizon control problems for which the dynamic, running cost and control space may be different in two half-spaces of some euclidian space $\R^N$. In this article…

Analysis of PDEs · Mathematics 2014-01-27 Guy Barles , Ariela Briani , Emmanuel Chasseigne

We exploit the separation of the filtering and control aspects of quantum feedback control to consider the optimal control as a classical stochastic problem on the space of quantum states. We derive the corresponding Hamilton-Jacobi-Bellman…

Quantum Physics · Physics 2007-05-23 J. Gough , V. P. Belavkin , O. G. Smolyanov

We consider covariance control problems for nonlinear stochastic systems. Our objective is to find an optimal control strategy to steer the state from an initial distribution to a terminal one with specified mean and covariance. This…

Systems and Control · Electrical Eng. & Systems 2019-11-22 Zeji Yi , Zhefeng Cao , Evangelos Theodorou , Yongxin Chen

A system responding to a stochastic driving signal can be interpreted as computing, by means of its dynamics, an implicit model of the environmental variables. The system's state retains information about past environmental fluctuations,…

Statistical Mechanics · Physics 2012-10-09 Susanne Still , David A. Sivak , Anthony J. Bell , Gavin E. Crooks

Infinite-time nonlinear optimal regulation control is widely utilized in aerospace engineering as a systematic method for synthesizing stable controllers. However, conventional methods often rely on linearization hypothesis, while recent…

Systems and Control · Electrical Eng. & Systems 2025-06-13 Han Wang , Di Wu , Lin Cheng , Shengping Gong , Xu Huang

We investigate discrete-time mean-variance portfolio selection problems viewed as a Markov decision process. We transform the problems into a new model with deterministic transition function for which the Bellman optimality equation holds.…

Optimization and Control · Mathematics 2025-09-23 Nicole Bäuerle , Anna Jaśkiewicz