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This paper presents a stochastic model predictive control approach for nonlinear systems subject to time-invariant probabilistic uncertainties in model parameters and initial conditions. The stochastic optimal control problem entails a cost…

Optimization and Control · Mathematics 2014-10-17 Stefan Streif , Matthias Karl , Ali Mesbah

We introduce a novel data-driven method to mitigate the risk of cascading failures in delayed discrete-time Linear Time-Invariant (LTI) systems. Our approach involves formulating a distributionally robust finite-horizon optimal control…

Optimization and Control · Mathematics 2023-10-19 Guangyi Liu , Arash Amini , Vivek Pandey , Nader Motee

This article proposes an approach to design output-feedback controllers for unknown continuous-time linear time-invariant systems using only input-output data from a single experiment. To address the lack of state and derivative…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Alessandro Bosso , Marco Borghesi , Andrea Iannelli , Giuseppe Notarstefano , Andrew R. Teel

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…

Optimization and Control · Mathematics 2025-09-03 Jialong Li , Zhiyong Yu , Wanying Yue

This paper is concerned with the design of an augmented state feedback controller for finite-dimensional linear systems with nonlinear observation dynamics. Most of the theoretical results in the area of (optimal) feedback design are based…

Systems and Control · Electrical Eng. & Systems 2019-08-30 Atiye Alaeddini , Kristi A. Morgansen , Mehran Mesbahi

We present an approach to identify a quasi Linear Parameter Varying (qLPV) model of a plant, with the qLPV model guaranteed to admit a robust control invariant (RCI) set. It builds upon the concurrent synthesis framework presented in [1],…

Optimization and Control · Mathematics 2025-05-13 Sampath Kumar Mulagaleti , Alberto Bemporad

This paper develops a data-based approach to the closed-loop output feedback control of nonlinear dynamical systems with a partial nonlinear observation model. We propose an information state based approach to rigorously transform the…

Robotics · Computer Science 2023-10-06 Raman Goyal , Ran Wang , Mohamed Naveed Gul Mohamed , Aayushman Sharma , Suman Chakravorty

We consider a class of $\ell_0$-regularized linear-quadratic (LQ) optimal control problems. This class of problems is obtained by augmenting a penalizing sparsity measure to the cost objective of the standard linear-quadratic regulator…

Optimization and Control · Mathematics 2015-07-31 MirSaleh Bahavarnia

We study the problem of controlling linear time-invariant systems with known noisy dynamics and adversarially chosen quadratic losses. We present the first efficient online learning algorithms in this setting that guarantee $O(\sqrt{T})$…

Machine Learning · Computer Science 2018-06-20 Alon Cohen , Avinatan Hassidim , Tomer Koren , Nevena Lazic , Yishay Mansour , Kunal Talwar

We study the sample complexity of approximate policy iteration (PI) for the Linear Quadratic Regulator (LQR), building on a recent line of work using LQR as a testbed to understand the limits of reinforcement learning (RL) algorithms on…

Machine Learning · Computer Science 2019-05-31 Karl Krauth , Stephen Tu , Benjamin Recht

Among the various critical systems that worth to be formally analyzed, a wide set consists of controllers for dynamical systems. Those programs typically execute an infinite loop in which simple com putations update internal states and…

Optimization and Control · Mathematics 2014-09-18 Assalé Adje , Pierre-Loïc Garoche

This paper studies the inverse optimal control problem for continuous-time linear quadratic regulators over finite-time horizon, aiming to reconstruct the control, state, and terminal cost matrices in the objective function from observed…

Optimization and Control · Mathematics 2025-10-07 Yuexin Cao , Yibei Li , Zhuo Zou , Xiaoming Hu

Many safety-critical control systems must operate under latent uncertainty that sensors cannot directly resolve at decision time. Such uncertainty, arising from unknown physical properties, exogenous disturbances, or unobserved environment…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Clinton Enwerem , John S. Baras , Calin Belta

This paper studies uniform stabilization and social optimality for linear quadratic (LQ) mean field control problems with multiplicative noise, where agents are coupled via dynamics and individual costs. The state and control weights in…

Optimization and Control · Mathematics 2022-03-31 Bingchang Wang , Huanshui Zhang

Consider a distributed control problem with a communication channel connecting the observer of a linear stochastic system to the controller. The goal of the controller is to minimize a quadratic cost function in the state variables and…

Information Theory · Computer Science 2017-10-20 Victoria Kostina , Babak Hassibi

Designing data-driven controllers in the presence of noise is an important research problem, in particular when guarantees on stability, robustness, and constraint satisfaction are desired. In this paper, we propose a data-driven min-max…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Yifan Xie , Julian Berberich , Frank Allgower

This paper designs a model predictive control (MPC) law for constrained linear systems with stochastic additive disturbances and noisy measurements, minimising a discounted cost subject to a discounted expectation constraint. It is assumed…

Systems and Control · Electrical Eng. & Systems 2022-04-22 Shuhao Yan , Mark Cannon , Paul J. Goulart

This paper is concerned with a class of linear-quadratic stochastic large-population problems with partial information, where the individual agent only has access to a noisy observation process related to the state. The dynamics of each…

Optimization and Control · Mathematics 2024-08-20 Min Li , Na Li , Zhen Wu

In this paper we formulate a risk-sensitive optimal control problem for continuously monitored open quantum systems modelled by quantum Langevin equations. The optimal controller is expressed in terms of a modified conditional state, which…

Quantum Physics · Physics 2016-09-08 M. R. James

This paper presents an adaptive ensemble control for stochastic systems subject to asymmetric noises and outliers. Asymmetric noises skew system observations, and outliers with large amplitude deteriorate the observations even further. Such…

Optimization and Control · Mathematics 2025-01-09 Yajie Yu , Xuehui Ma , Shiliang Zhang , Zhuzhu Wang , Xubing Shi , Yushuai Li , Tingwen Huang
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