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This paper develops an algorithmic framework for tracking fixed points of time-varying contraction mappings. Analytical results for the tracking error are established for the cases where: (i) the underlying contraction self-map changes at…

最优化与控制 · 数学 2018-09-14 Andrey Bernstein , Emiliano Dall'Anese

Recently, there has been a great deal of attention in a class of controllers based on time-varying gains, called prescribed-time controllers, that steer the system's state to the origin in the desired time, a priori set by the user,…

最优化与控制 · 数学 2023-11-07 Rodrigo Aldana-López , Richard Seeber , Hernan Haimovich , David Gómez-Gutiérrez

Stochastic gradient descent is one of the most successful approaches for solving large-scale problems, especially in machine learning and statistics. At each iteration, it employs an unbiased estimator of the full gradient computed from one…

数值分析 · 数学 2018-12-05 Bangti Jin , Xiliang Lu

Modern robotics is gravitating toward increasingly collaborative human robot interaction. Tools such as acceleration policies can naturally support the realization of reactive, adaptive, and compliant robots. These tools require us to model…

机器人学 · 计算机科学 2017-10-09 Daniel Kappler , Franziska Meier , Nathan Ratliff , Stefan Schaal

Source identification problems have multiple applications in engineering such as the identification of fissures in materials, determination of sources in electromagnetic fields or geophysical applications, detection of contaminant sources,…

数值分析 · 数学 2021-11-12 Guillermo F. Umbricht , Diana Rubio , Claudio El Hasi

This paper presents a decentralized algorithm for a team of agents to track time-varying fixed points that are the solutions to time-varying convex optimization problems. The algorithm is first-order, and it allows for total asynchrony in…

最优化与控制 · 数学 2021-10-14 Gabriel Behrendt , Matthew Hale

Model predictive control solves a constrained optimization problem online in order to compute an implicit closed-loop control policy. Recursive feasibility -- guaranteeing that the optimal control problem will have a solution at every time…

最优化与控制 · 数学 2024-10-16 Jacob W. Knaup , Panagiotis Tsiotras

Generative models have become increasingly powerful tools for robot motion generation, enabling flexible and multimodal trajectory generation across various tasks. Yet, most existing approaches remain limited in handling multiple types of…

机器人学 · 计算机科学 2026-01-15 Zewen Yang , Xiaobing Dai , Dian Yu , Zhijun Li , Majid Khadiv , Sandra Hirche , Sami Haddadin

Guided policy search algorithms can be used to optimize complex nonlinear policies, such as deep neural networks, without directly computing policy gradients in the high-dimensional parameter space. Instead, these methods use supervised…

机器学习 · 计算机科学 2016-07-18 William Montgomery , Sergey Levine

This paper considers the inverse problem of identifying the source term of parabolic equations from sparse boundary measurements. We used data from moving sensors to locate the unknown source term. This work first proves the uniqueness of…

偏微分方程分析 · 数学 2026-04-14 Qiling Gu , Wenlong Zhang , Zhidong Zhang

Recent development of contraction theory based analysis of singularly perturbed system has opened the door for inspecting differential behavior of multi time-scale systems. In this paper a contraction theory based framework is proposed for…

系统与控制 · 计算机科学 2015-12-04 Madan Mohan Rayguru , I N Kar

This work proposes a cooperative strategy that employs deviated pursuit guidance to simultaneously intercept a moving (but not manoeuvring) target. As opposed to many existing cooperative guidance strategies which use estimates of…

系统与控制 · 电气工程与系统科学 2024-02-09 Abhinav Sinha , Dwaipayan Mukherjee , Shashi Ranjan Kumar

In this paper, we investigate the problem of unified prescribed performance tracking for a class of non-square strict-feedback nonlinear systems under relaxed controllability conditions. By using a skillful matrix decomposition and…

系统与控制 · 电气工程与系统科学 2025-08-15 Bing Zhou , Kai Zhao , Yongduan Song , Zhen Chen

In this paper, we develop an extremum seeking control method integrated with iterative learning control to track a time-varying optimizer within finite time. The behavior of the extremum seeking system is analyzed via an approximating…

最优化与控制 · 数学 2017-12-19 Zhixing Cao , Hans-Bernd Dürr , Christian Ebenbauer , Frank Allgöwer , Furong Gao

This paper explores continuous-time and state-space optimal stopping problems from a reinforcement learning perspective. We begin by formulating the stopping problem using randomized stopping times, where the decision maker's control is…

最优化与控制 · 数学 2026-03-12 Jodi Dianetti , Giorgio Ferrari , Renyuan Xu

The problem of sequential anomaly detection is considered, where multiple data sources are monitored in real time and the goal is to identify the "anomalous" ones among them, when it is not possible to sample all sources at all times. A…

统计理论 · 数学 2022-05-23 Aristomenis Tsopelakos , Georgios Fellouris

In this work we analyze a convex-programming method for estimating superpositions of point sources or spikes from nonuniform samples of their convolution with a known kernel. We consider a one-dimensional model where the kernel is either a…

最优化与控制 · 数学 2018-06-04 Brett Bernstein , Carlos Fernandez-Granda

Lipschitz one-dimensional constrained global optimization (GO) problems where both the objective function and constraints can be multiextremal and non-differentiable are considered in this paper. Problems, where the constraints are verified…

最优化与控制 · 数学 2011-07-27 Yaroslav D. Sergeyev , Dmitri E. Kvasov , Falah M. H. Khalaf

The paper considers causal smoothing of the real sequences, i.e.,discrete time processes in a deterministic setting. A family of causal linear time-invariant filters is suggested. These filters approximate the gain decay for some non-causal…

最优化与控制 · 数学 2015-07-07 Nikolai Dokuchaev

This paper proposes a discrete-time event-triggered extremum seeking control scheme for real-time optimization of nonlinear systems. Unlike conventional discrete-time implementations relying on periodic updates, the proposed approach…