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In this paper, we present an analytical approach for the synthesis of ellipsoidal probabilistic reachable sets of saturated systems subject to unbounded additive noise. Using convex optimization methods, we compute a contraction factor of…

最优化与控制 · 数学 2025-09-03 Carlo Karam , Matteo Tacchi-Bénard , Mirko Fiacchini

This article considers the challenge of accommodating outlier measurements in state estimation. The Risk-Averse Performance-Specified (RAPS) state estimation approach addresses outliers as a measurement selection Bayesian risk minimization…

系统与控制 · 电气工程与系统科学 2025-05-13 Wang Hu , Zeyi Jiang , Hamed Mohsenian-Rad , Jay A. Farrell

This paper deals with the computation of the largest robust control invariant sets (RCISs) of constrained nonlinear systems. The proposed approach is based on casting the search for the invariant set as a graph theoretical problem.…

系统与控制 · 电气工程与系统科学 2021-02-16 Benjamin Decardi-Nelson , Jinfeng Liu

We present an algorithm for robust model predictive control with consideration of uncertainty and safety constraints. Our framework considers a nonlinear dynamical system subject to disturbances from an unknown but bounded uncertainty set.…

最优化与控制 · 数学 2021-04-23 Dongchan Lee , Konstantin Turitsyn , Jean-Jacques Slotine

We describe a convex programming approach to the calculation of lower bounds on the minimum cost of constrained decentralized control problems with nonclassical information structures. The class of problems we consider entail the…

最优化与控制 · 数学 2019-06-05 Weixuan Lin , Eilyan Bitar

Random projection algorithm is an iterative gradient method with random projections. Such an algorithm is of interest for constrained optimization when the constraint set is not known in advance or the projection operation on the whole…

最优化与控制 · 数学 2013-05-02 Soomin Lee , Angelia Nedich

In this paper, we develop a unified framework for studying constrained robust optimal control problems with adjustable uncertainty sets. In contrast to standard constrained robust optimal control problems with known uncertainty sets, we…

最优化与控制 · 数学 2016-06-09 Xiaojing Zhang , Maryam Kamgarpour , Angelos Georghiou , Paul Goulart , John Lygeros

Proximal gradient methods are popular in sparse optimization as they are straightforward to implement. Nevertheless, they achieve biased solutions, requiring many iterations to converge. This work addresses these issues through a suitable…

最优化与控制 · 数学 2025-04-18 V. Cerone , S. M. Fosson , A. Re , D. Regruto

This paper studies the communication complexity of convex risk-averse optimization over a network. The problem generalizes the well-studied risk-neutral finite-sum distributed optimization problem and its importance stems from the need to…

最优化与控制 · 数学 2023-03-08 Guanghui Lan , Zhe Zhang

Approximating the set of reachable states of a dynamical system is an algorithmic yet mathematically rigorous way to reason about its safety. Although progress has been made in the development of efficient algorithms for affine dynamical…

系统与控制 · 计算机科学 2022-05-03 Sergiy Bogomolov , Marcelo Forets , Goran Frehse , Andreas Podelski , Christian Schilling , Frédéric Viry

Recommender systems rely heavily on increasing computation resources to improve their business goal. By deploying computation-intensive models and algorithms, these systems are able to inference user interests and exhibit certain ads or…

系统与控制 · 电气工程与系统科学 2021-03-04 Xun Yang , Yunli Wang , Cheng Chen , Qing Tan , Chuan Yu , Jian Xu , Xiaoqiang Zhu

This paper proposes a risk-aware control approach to enforce safety for discrete-time nonlinear systems subject to stochastic uncertainties. We derive some useful results on the worst-case Conditional Value-at-Risk (CVaR) and define a…

最优化与控制 · 数学 2023-08-29 Masako Kishida

This paper studies the problem of controlling linear dynamical systems subject to point-wise-in-time constraints. We present an algorithm similar to online gradient descent, that can handle time-varying and a priori unknown convex cost…

最优化与控制 · 数学 2021-11-03 Marko Nonhoff , Matthias A. Müller

Randomized optimization is an established tool for control design with modulated robustness. While for uncertain convex programs there exist randomized approaches with efficient sampling, this is not the case for non-convex problems.…

系统与控制 · 计算机科学 2015-06-08 Sergio Grammatico , Xiaojing Zhang , Kostas Margellos , Paul Goulart , John Lygeros

In this paper, we study a concatenate coding scheme based on sparse regression code (SPARC) and tree code for unsourced random access in massive multiple-input and multiple-output systems. Our focus is concentrated on efficient decoding for…

信息论 · 计算机科学 2022-08-15 Juntao You , Wenjie Wang , Shansuo Liang , Wei Han , Bo Bai

Random projection (RP) is a classical technique for reducing storage and computational costs. We analyze RP-based approximations of convex programs, in which the original optimization problem is approximated by the solution of a…

信息论 · 计算机科学 2014-04-30 Mert Pilanci , Martin J. Wainwright

Neural Networks (NNs) can provide major empirical performance improvements for robotic systems, but they also introduce challenges in formally analyzing those systems' safety properties. In particular, this work focuses on estimating the…

系统与控制 · 电气工程与系统科学 2021-05-26 Michael Everett , Golnaz Habibi , Jonathan P. How

This paper presents an optimisation-based approach for an obstacle avoidance problem within an autonomous vehicle racing context. Our control regime leverages online reachability analysis and sensor data to compute the maximal safe…

多智能体系统 · 计算机科学 2023-11-17 Sergiy Bogomolov , Taylor T. Johnson , Diego Manzanas Lopez , Patrick Musau , Paulius Stankaitis

In many human-in-the-loop robotic applications such as robot-assisted surgery and remote teleoperation, predicting the intended motion of the human operator may be useful for successful implementation of shared control, guidance virtual…

机器人学 · 计算机科学 2018-03-28 Arun Kumar Singh , Sigal Berman , Ilana Nisky

This paper considers discrete-time linear systems with bounded additive disturbances, and studies the convergence properties of the backward reachable sets of robust controlled invariant sets (RCIS). Under a simple condition, we prove that…

系统与控制 · 电气工程与系统科学 2023-09-28 Zexiang Liu , Necmiye Ozay