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Stabilization of linear systems with unknown dynamics is a canonical problem in adaptive control. Since the lack of knowledge of system parameters can cause it to become destabilized, an adaptive stabilization procedure is needed prior to…

Systems and Control · Computer Science 2018-07-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

Linear Quadratic Regulator (LQR) design is one of the most classical optimal control problems, whose well-known solution is an input sequence expressed as a state-feedback. In this work, finite-horizon and discrete-time LQR is solved under…

Optimization and Control · Mathematics 2020-01-17 Anna Scampicchio , Aleksandr Aravkin , Gianluigi Pillonetto

We consider control strategies for large-scale interacting agent systems under uncertainty. The particular focus is on the design of robust controls that allow to bound the variance of the controlled system over time. To this end we…

Optimization and Control · Mathematics 2022-10-06 Giacomo Albi , Michael Herty , Chiara Segala

We consider the problem of adaptive stabilization for discrete-time, multi-dimensional linear systems with bounded control input constraints and unbounded stochastic disturbances, where the parameters of the true system are unknown. To…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

Neural networks have become increasingly popular in controller design due to their versatility and efficiency. However, their integration into feedback systems can pose stability challenges, particularly in the presence of uncertainties.…

Optimization and Control · Mathematics 2025-03-04 Yuhao Zhang , Xiangru Xu

We propose a distributed model predictive control approach for linear time-invariant systems coupled via dynamics. The proposed approach uses the tube MPC concept for robustness to handle the disturbances induced by mutual interactions…

Systems and Control · Computer Science 2016-10-31 Pablo R Baldivieso Monasterios , Bernardo Hernandez , Paul A Trodden

This work addresses the distributed frequency control problem in power systems considering controllable load with a nonsmooth cost. The nonsmoothness exists widely in power systems, such as tiered price, greatly challenging the design of…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Zhaojian Wang , Feng Liua , Changhong Zhao , Zhiyuan Ma , Wei Wei

We consider a dynamical system with finitely many equilibria and perturbed by small noise, in addition to being controlled by an `expensive' control. The controlled process is optimal for an ergodic criterion with a running cost that…

Probability · Mathematics 2019-03-20 Ari Arapostathis , Anup Biswas , Vivek S. Borkar

This paper proposes a distributionally robust approach to regret optimal control of discrete-time linear dynamical systems with quadratic costs subject to a stochastic additive disturbance on the state process. The underlying probability…

Optimization and Control · Mathematics 2023-08-17 Feras Al Taha , Shuhao Yan , Eilyan Bitar

A systematic approach to design robust control protocols against the influence of different types of noise is introduced. We present control schemes which protect the decay of the populations avoiding dissipation in the adiabatic and…

Quantum Physics · Physics 2018-03-14 Amikam Levy , A. Kiely , J. G. Muga , R. Kosloff , E. Torrontegui

We present a novel robust control framework for continuous-time, perturbed nonlinear dynamical systems with uncertainty that depends nonlinearly on both the state and control inputs. Unlike conventional approaches that impose structural…

Optimization and Control · Mathematics 2025-07-21 Sihang Wei , Melkior Ornik , Hiroyasu Tsukamoto

Many traditional robust control approaches assume linearity of the system and independence between the system state-input and the parameters of its approximant (possibly lower-order) model. This assumption implies that the application of…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Mohammad Ramadan , Mihai Anitescu

We investigate several control strategies for the transport of an excitation along a spin chain. We demonstrate that fast, high fidelity transport can be achieved using protocols designed with differentiable programming. Building on this,…

Quantum Physics · Physics 2022-11-30 Luuk Coopmans , Steve Campbell , Gabriele De Chiara , Anthony Kiely

The Koopman operator enables simplified representations for nonlinear systems in data-driven optimal control, but the accompanying uncertainties inevitably induce deviations in the optimal controller and associated value function. This…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Yicheng Lin , Bingxian Wu , Nan Bai , Yunxiao Ren , Zhongkui Li , Zhisheng Duan

The potential advantage of machine learning in quantum computers is a topic of intense discussion in the literature. Theoretical, numerical and experimental explorations will most likely be required to understand its power. There has been…

Quantum Physics · Physics 2021-04-05 Abhinav Anand , Jonathan Romero , Matthias Degroote , Alán Aspuru-Guzik

In this paper we present a new proof technique for semi-quantum key distribution protocols which makes use of a quantum entropic uncertainty relation to bound an adversary's information. Our new technique provides a more optimistic key-rate…

Quantum Physics · Physics 2018-01-09 Walter O. Krawec

This paper studies Markov Decision Processes under parameter uncertainty. We adapt the distributionally robust optimization framework, and assume that the uncertain parameters are random variables following an unknown distribution, and…

Systems and Control · Computer Science 2015-05-14 Pengqian Yu , Huan Xu

We provide a functional view of distributional robustness motivated by robust statistics and functional analysis. This results in two practical computational approaches for approximate distributionally robust nonlinear optimization based on…

Systems and Control · Electrical Eng. & Systems 2021-10-27 Yassine Nemmour , Bernhard Schölkopf , Jia-Jie Zhu

This paper presents a novel distributed robust optimization scheme for steering distributions of multi-agent systems under stochastic and deterministic uncertainty. Robust optimization is a subfield of optimization which aims to discover an…

Robotics · Computer Science 2025-01-31 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

In this paper, the optimal local and remote linear quadratic (LQ) control problem is studied for a networked control system (NCS) which consists of multiple subsystems and each of which is described by a general multiplicative noise…

Optimization and Control · Mathematics 2020-07-31 Qingyuan Qi , Lihua Xie , Huanshui Zhang