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Inexact methods for model predictive control (MPC), such as real-time iterative schemes or time-distributed optimization, alleviate the computational burden of exact MPC by providing suboptimal solutions. While the asymptotic stability of…

系统与控制 · 电气工程与系统科学 2023-11-21 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

State estimation techniques for continuum robots (CRs) typically involve using computationally complex dynamic models, simplistic shape approximations, or are limited to quasi-static methods. These limitations can be sensitive to unmodelled…

机器人学 · 计算机科学 2025-10-03 Spencer Teetaert , Sven Lilge , Jessica Burgner-Kahrs , Timothy D. Barfoot

Distributionally robust optimization (DRO) is a widely-used approach to learn models that are robust against distribution shift. Compared with the standard optimization setting, the objective function in DRO is more difficult to optimize,…

机器学习 · 计算机科学 2021-10-27 Jikai Jin , Bohang Zhang , Haiyang Wang , Liwei Wang

This paper presents ConVex optimization-based Stochastic steady-state Tracking Error Minimization (CV-STEM), a new state feedback control framework for a class of Ito stochastic nonlinear systems and Lagrangian systems. Its innovation lies…

系统与控制 · 电气工程与系统科学 2020-11-23 Hiroyasu Tsukamoto , Soon-Jo Chung

In this paper, a proof of asymptotic stability for the combined system-optimizer dynamics associated with a class of real-time methods for equality constrained nonlinear model predictive control is presented. General Q-linearly convergent…

最优化与控制 · 数学 2020-05-13 Andrea Zanelli , Quoc Tran-Dinh , Moritz Diehl

In this work, we tackle the problem of minimising the Conditional-Value-at-Risk (CVaR) of output quantities of complex differential models with random input data, using gradient-based approaches in combination with the Multi-Level Monte…

数值分析 · 数学 2023-10-16 Sundar Ganesh , Fabio Nobile

In this work, we propose the design and analysis of a novel continuous robust controller for a class of multi--input multi--output (MIMO) nonlinear uncertain systems. The systems under consideration contains unstructured uncertainties in…

最优化与控制 · 数学 2013-01-24 Baris Bidikli , Enver Tatlicioglu , Erkan Zergeroglu , Alper Bayrak

A continuous adaptive control design is developed for nonlinear dynamical systems with linearly parameterizable uncertainty involving time-varying uncertain parameters. The key feature of this design is a robust integral of the sign of the…

系统与控制 · 电气工程与系统科学 2020-07-24 Omkar Sudhir Patil , Runhan Sun , Shubhendu Bhasin , Warren E. Dixon

We analyze the practices of reservoir computing in the framework of statistical learning theory. In particular, we derive finite sample upper bounds for the generalization error committed by specific families of reservoir computing systems…

机器学习 · 计算机科学 2019-10-31 Lukas Gonon , Lyudmila Grigoryeva , Juan-Pablo Ortega

We analyze a stochastic approximation algorithm for decision-dependent problems, wherein the data distribution used by the algorithm evolves along the iterate sequence. The primary examples of such problems appear in performative prediction…

最优化与控制 · 数学 2024-05-15 Joshua Cutler , Mateo Díaz , Dmitriy Drusvyatskiy

Randomized compiling (RC) is an efficient method for tailoring arbitrary Markovian errors into stochastic Pauli channels. However, the standard procedure for implementing the protocol in software comes with a large experimental overhead --…

We consider a nonparametric regression model with continuous endogenous independent variables when only discrete instruments are available that are independent of the error term. Although this framework is very relevant for applied…

计量经济学 · 经济学 2024-10-18 Samuele Centorrino , Frédérique Fève , Jean-Pierre Florens

We derive a Cram\'er-Rao lower bound for the variance of Floquet multiplier estimates that have been constructed from stable limit cycles perturbed by noise. To do so, we consider perturbed periodic orbits in the plane. We use a periodic…

动力系统 · 数学 2017-11-30 Aurya Javeed

Deheuvels [J. Multivariate Anal. 11 (1981) 102--113] and Genest and R\'{e}millard [Test 13 (2004) 335--369] have shown that powerful rank tests of multivariate independence can be based on combinations of asymptotically independent…

统计理论 · 数学 2009-09-29 Christian Genest , Jean-François Quessy , Bruno Rémillard

We consider the problem of off-policy evaluation for reinforcement learning, where the goal is to estimate the expected reward of a target policy $\pi$ using offline data collected by running a logging policy $\mu$. Standard…

机器学习 · 计算机科学 2020-07-09 Ming Yin , Yu-Xiang Wang

This contribution deals with the generalized symmetric FastICA algorithm in the domain of Independent Component Analysis (ICA). The generalized symmetric version of FastICA has been shown to have the potential to achieve the Cram\'er-Rao…

机器学习 · 统计学 2015-12-18 Tianwen Wei

This paper analyzes the stability of interconnected continuous-time (CT) and discrete-time (DT) systems coupled through sampling and zero-order hold mechanisms. The DT system updates its output at regular intervals $T>0$ by applying an…

系统与控制 · 电气工程与系统科学 2026-01-05 Yiting Chen , Francesco Bullo , Emiliano Dall'Anese

This paper is devoted to the non-asymptotic control of the mean-squared error for the Ruppert-Polyak stochastic averaged gradient descent introduced in the seminal contributions of [Rup88] and [PJ92]. In our main results, we establish…

统计理论 · 数学 2017-09-12 Sébastien Gadat , Fabien Panloup

The present paper describes a combined experimental and high performance computing study of new specific behaviors of the Strato-Rotational Instability (SRI). The confrontation of low frequency Particle Image Velocimetry (PIV) experimental…

流体动力学 · 物理学 2020-08-24 G. Meletti , S. Abide , S. Viazzo , A. Krebs , U. Harlander

The indirect approach to continuous-time system identification consists in estimating continuous-time models by first determining an appropriate discrete-time model. For a zero-order hold sampling mechanism, this approach usually leads to a…

系统与控制 · 计算机科学 2018-03-23 Rodrigo A. González , Cristian R. Rojas , James S. Welsh