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We consider the problem of reinforcement learning (RL) with unbounded state space motivated by the classical problem of scheduling in a queueing network. Traditional policies as well as error metric that are designed for finite, bounded or…

机器学习 · 计算机科学 2020-06-09 Devavrat Shah , Qiaomin Xie , Zhi Xu

In safety-critical deep learning applications robustness measurement is a vital pre-deployment phase. However, existing robustness verification methods are not sufficiently practical for deploying machine learning systems in the real world.…

机器学习 · 计算机科学 2022-07-06 Tianle Zhang , Wenjie Ruan , Jonathan E. Fieldsend

Stability for dynamic network embeddings ensures that nodes behaving the same at different times receive the same embedding, allowing comparison of nodes in the network across time. We present attributed unfolded adjacency spectral…

机器学习 · 统计学 2025-07-02 Emma Ceccherini , Ian Gallagher , Andrew Jones , Daniel Lawson

Implicit neural networks, a.k.a., deep equilibrium networks, are a class of implicit-depth learning models where function evaluation is performed by solving a fixed point equation. They generalize classic feedforward models and are…

机器学习 · 计算机科学 2022-01-27 Saber Jafarpour , Alexander Davydov , Anton V. Proskurnikov , Francesco Bullo

This paper deals with learning stability of partially observed switched linear systems under arbitrary switching. Such systems are widely used to describe cyber-physical systems which arise by combining physical systems with digital…

系统与控制 · 电气工程与系统科学 2023-01-20 Zheming Wang , Raphaël M. Jungers , Mihály Petreczky , Bo Chen , Li Yu

Neural networks have become a widely adopted tool for tackling a variety of problems in machine learning and artificial intelligence. In this contribution we use the mathematical framework of local stability analysis to gain a deeper…

机器学习 · 计算机科学 2024-05-03 Nahal Sharafi , Christoph Martin , Sarah Hallerberg

The need for rapid and reliable robot deployment is on the rise. Imitation Learning (IL) has become popular for producing motion planning policies from a set of demonstrations. However, many methods in IL are not guaranteed to produce…

机器人学 · 计算机科学 2022-11-17 Alexandre Coulombe , Hsiu-Chin Lin

In this paper we propose a novel semi-definite programming based method to compute robust domains of attraction for state-constrained perturbed polynomial systems. A robust domain of attraction is a set of states such that every trajectory…

系统与控制 · 计算机科学 2020-12-15 Bai Xue , Qiuye Wang , Naijun Zhan , Shijie Wang , Zhikun She

For complex nonlinear systems, it is challenging to design algorithms that are fast, scalable, and give an accurate approximation of the stability region. This paper proposes a sampling-based approach to address these challenges. By…

系统与控制 · 电气工程与系统科学 2024-05-24 Péter Antal , Tamás Péni , Roland Tóth

Most of nonlinear robust control methods just consider the affine nonlinear nominal model. When the nominal model is assumed to be affine nonlinear, available information about existing non-affine nonlinearities is ignored. For non-affine…

系统与控制 · 电气工程与系统科学 2019-12-30 Chaolun Lu , Yongqiang Li , Zhongsheng Hou , Yuanjing Feng , Yu Feng , Ronghu Chi , Xuhui Bu

Neural networks (NN) are extensively studied in cutting-edge soft sensor models due to their feature extraction and function approximation capabilities. Current research into network-based methods primarily focuses on models' offline…

机器学习 · 计算机科学 2024-09-25 Shaoqi Wang , Chunjie Yang , Siwei Lou

Deep neural networks are increasingly used as an effective parameterization of control policies in various learning-based control paradigms. For continuous-time optimal control problems (OCPs), which are central to many decision-making…

机器学习 · 计算机科学 2025-11-04 Joshua Hang Sai Ip , Georgios Makrygiorgos , Ali Mesbah

Adaptive controllers are designed to synchronize two different chaotic systems with uncertainties, including unknown parameters, internal and external perturbations. Lyapunov stability theory is applied to prove that under some conditions…

混沌动力学 · 物理学 2009-09-30 Jianping Cai , Zhengzhong Yuan

In order to achieve faster and more robust convergence (especially under noisy working environments), a sliding mode theory-based learning algorithm has been proposed to tune both the premise and consequent parts of type-2 fuzzy neural…

系统与控制 · 电气工程与系统科学 2021-04-06 Erkan Kayacan , Erdal Kayacan , Mojtaba Ahmadieh Khanesar

We establish strong duality relations for functional two-step compositional risk-constrained learning problems with multiple nonconvex loss functions and/or learning constraints, regardless of nonconvexity and under a minimal set of…

机器学习 · 计算机科学 2023-12-05 Dionysis Kalogerias , Spyridon Pougkakiotis

This paper develops an unified framework to study finite-sample convergence guarantees of a large class of value-based asynchronous reinforcement learning (RL) algorithms. We do this by first reformulating the RL algorithms as…

机器学习 · 计算机科学 2023-09-06 Zaiwei Chen , Siva Theja Maguluri , Sanjay Shakkottai , Karthikeyan Shanmugam

This paper introduces an adaptive-neuro geometric control for a centralized multi-quadrotor cooperative transportation system, which enhances both adaptivity and disturbance rejection. Our strategy is to coactively tune the model parameters…

系统与控制 · 电气工程与系统科学 2025-09-03 Tianhua Gao , Kohji Tomita , Akiya Kamimura

Learning complex trajectories from demonstrations in robotic tasks has been effectively addressed through the utilization of Dynamical Systems (DS). State-of-the-art DS learning methods ensure stability of the generated trajectories;…

机器人学 · 计算机科学 2024-12-10 Andreas Sochopoulos , Michael Gienger , Sethu Vijayakumar

Stability analysis and control of linear impulsive systems is addressed in a hybrid framework, through the use of continuous-time time-varying discontinuous Lyapunov functions. Necessary and sufficient conditions for stability of impulsive…

最优化与控制 · 数学 2013-11-15 Corentin Briat

This paper is about the study of a new class of fractional-order projection neural networks with impulses which capture the desired features of both the variational inequality and the fractional-order impulsive dynamical systems within the…

最优化与控制 · 数学 2020-11-05 Jin-dong Li , Zeng-bao Wu , Nan-jing Huang