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In this paper, we consider the optimization problem of minimizing a continuously differentiable function subject to both convex constraints and sparsity constraints. By exploiting a mixed-integer reformulation from the literature, we define…

最优化与控制 · 数学 2021-04-28 M. Lapucci , T. Levato , F. Rinaldi , M. Sciandrone

In compressed sensing, the sensing matrix is assumed perfectly known. However, there exists perturbation in the sensing matrix in reality due to sensor offsets or noise disturbance. Directions-of-arrival (DoA) estimation with off-grid…

信号处理 · 电气工程与系统科学 2019-06-04 Cheng-Yu Hung , Mostafa Kaveh

In this paper, we study stabilizability of discrete-time switched linear systems where the switching signal is considered as an arbitrary disturbance (and not a control variable). We characterize feedback stabilization via necessary and…

最优化与控制 · 数学 2025-06-05 Thiago Alves Lima , Matteo Della Rossa , Antoine Girard

Inter-area oscillations in bulk power systems are typically poorly controllable by means of local decentralized control. Recent research efforts have been aimed at developing wide- area control strategies that involve communication of…

最优化与控制 · 数学 2013-11-13 Florian Dörfler , Mihailo R. Jovanovic , Michael Chertkov , Francesco Bullo

This paper presents a distributed continuous-time optimization framework aimed at overcoming the challenges posed by time-varying cost functions and constraints in multi-agent systems, particularly those subject to disturbances. By…

系统与控制 · 电气工程与系统科学 2024-09-10 Zeinab Ebrahimi , Mohammad Deghat

The development of nonlinear optimization algorithms capable of performing reliably in the presence of noise has garnered considerable attention lately. This paper advocates for strategies to create noise-tolerant nonlinear optimization…

最优化与控制 · 数学 2024-10-04 Yuchen Lou , Shigeng Sun , Jorge Nocedal

Identifying damage of structural systems is typically characterized as an inverse problem which might be ill-conditioned due to aleatory and epistemic uncertainties induced by measurement noise and modeling error. Sparse representation can…

应用统计 · 统计学 2020-06-09 Zhao Chen , Hao Sun

Recent investigations have established the physical relevance of spatially-localized instability mechanisms in fluid dynamics and their potential for technological innovations in flow control. In this letter, we show that the mathematical…

流体动力学 · 物理学 2024-11-11 Talha Mushtaq , Maziar S. Hemati

Temporal variations in biological systems and more generally in natural sciences are typically modelled as a set of Ordinary, Partial, or Stochastic Differential or Difference Equations. Algorithms for learning the structure and the…

分子网络 · 定量生物学 2019-01-23 Yannis Pantazis , Ioannis Tsamardinos

Identifying and suppressing unknown disturbances to dynamical systems is a problem with applications in many different fields. Here we present a model-free method to identify and suppress an unknown disturbance to an unknown system based…

系统与控制 · 电气工程与系统科学 2024-08-22 Juan G. Restrepo , Clayton P. Byers , Per Sebastian Skardal

We study momentum-based first-order optimization algorithms in which the iterations utilize information from the two previous steps and are subject to an additive white noise. This setup uses noise to account for uncertainty in either…

最优化与控制 · 数学 2024-06-21 Hesameddin Mohammadi , Meisam Razaviyayn , Mihailo R. Jovanović

First-principles based lattice models allow the modeling of ab initio thermodynamics of crystalline mixtures for applications such as the construction of phase diagrams and the identification of ground state atomic orderings. The recent…

Understanding how the optimal value of an optimisation problem changes when its input data is modified is an old question in mathematical optimisation. This paper investigates the computation of the optimal values of a family of (possibly…

最优化与控制 · 数学 2026-03-02 Guillaume Derval , Damien Ernst , Quentin Louveaux , Bardhyl Miftari

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

最优化与控制 · 数学 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

We propose a variant of the classical conditional gradient method for sparse inverse problems with differentiable measurement models. Such models arise in many practical problems including superresolution, time-series modeling, and matrix…

最优化与控制 · 数学 2015-07-07 Nicholas Boyd , Geoffrey Schiebinger , Benjamin Recht

Governing equations are essential to the study of nonlinear dynamics, often enabling the prediction of previously unseen behaviors as well as the inclusion into control strategies. The discovery of governing equations from data thus has the…

动力系统 · 数学 2021-04-30 Alejandro Carderera , Sebastian Pokutta , Christof Schütte , Martin Weiser

Learning identifiable representations and models from low-level observations is helpful for an intelligent spacecraft to complete downstream tasks reliably. For temporal observations, to ensure that the data generating process is provably…

机器学习 · 计算机科学 2024-12-05 Congxi Zhang , Yongchun Xie

Optimal control is a popular approach to synthesize highly dynamic motion. Commonly, $L_2$ regularization is used on the control inputs in order to minimize energy used and to ensure smoothness of the control inputs. However, for some…

机器人学 · 计算机科学 2022-07-18 Traiko Dinev , Wolfgang Merkt , Vladimir Ivan , Ioannis Havoutis , Sethu Vijayakumar

We study the problem of \textit{safe control of linear dynamical systems corrupted with non-stochastic noise}, and provide an algorithm that guarantees (i) zero constraint violation of convex time-varying constraints, and (ii) bounded…

系统与控制 · 电气工程与系统科学 2023-08-25 Hongyu Zhou , Vasileios Tzoumas

We propose an approach to design a Model Predictive Controller (MPC) for constrained Linear Time Invariant systems performing an iterative task. The system is subject to an additive disturbance, and the goal is to learn to satisfy state and…

系统与控制 · 电气工程与系统科学 2023-06-13 Monimoy Bujarbaruah , Akhil Shetty , Kameshwar Poolla , Francesco Borrelli