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Generative models based on static scalar energy functions represent an emerging paradigm in which a single time independent potential drives sample generation through its gradient field, eliminating the need for time conditioning entirely.…

机器学习 · 计算机科学 2026-05-08 Yixuan Wang , Wenqian Xue , Warren E. Dixon

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

In this work we study the problem of step size selection for numerical schemes, which guarantees that the numerical solution presents the same qualitative behavior as the original system of ordinary differential equations, by means of tools…

数值分析 · 数学 2015-05-13 Iasson Karafyllis , Lars Grune

The notion of the relaxed Robust Control Lyapunov Function (relaxed RCLF) is introduced and is exploited for the design of robust feedback stabilizers for nonlinear systems. Particularly, it is shown for systems with input constraints that…

最优化与控制 · 数学 2008-10-07 Iasson Karafyllis , Costas Kravaris , Nicolas Kalogerakis

This paper considers the low-observability state estimation problem in power distribution networks and develops a decentralized state estimation algorithm leveraging the matrix completion methodology. Matrix completion has been shown to be…

最优化与控制 · 数学 2019-10-14 April Sagan , Yajing Liu , Andrey Bernstein

This paper presents a linear-programming based algorithm to perform data-driven stabilizing control of linear positive systems. A set of state-input-transition observations is collected up to magnitude-bounded noise. A state feedback…

最优化与控制 · 数学 2023-03-23 Jared Miller , Tianyu Dai , Mario Sznaier , Bahram Shafai

This paper considers the problem of data-driven robust control design for nonlinear systems, for instance, obtained when discretizing nonlinear partial differential equations (PDEs). A robust learning control approach is developed for…

最优化与控制 · 数学 2025-09-01 Anant A. Joshi , Saviz Mowlavi , Mouhacine Benosman

In this paper, we consider the state estimation problem for nonlinear stochastic discrete-time systems. We combine Lyapunov's method in control theory and deep reinforcement learning to design the state estimator. We theoretically prove the…

机器学习 · 计算机科学 2021-01-08 Liang Hu , Chengwei Wu , Wei Pan

This paper deals with the tracking control problem for a very simple class of unknown nonlinear systems. In this paper, we presents a design strategy for tracking control of time-varying state constrained nonlinear systems in an adaptive…

系统与控制 · 电气工程与系统科学 2022-10-12 Pankaj Kumar Mishra , Nishchal K Verma

Although deep neural network (DNN)-based controllers are popularly used to control uncertain nonlinear dynamic systems, most results use DNNs that are pretrained offline and the corresponding controller is implemented post-training. Recent…

系统与控制 · 电气工程与系统科学 2026-05-25 Omkar Sudhir Patil , Emily J. Griffis , Wanjiku A. Makumi , Warren E. Dixon

This paper presents a new neural network (NN) paradigm for scalable and generalizable stability analysis of power systems. The paradigm consists of two parts: the neural stability descriptor and the sample-augmented iterative training…

系统与控制 · 电气工程与系统科学 2025-10-30 Tong Han , Yan Xu , Rui Zhang

Deep Neural Networks (DNNs) are increasingly used in control applications due to their powerful function approximation capabilities. However, many existing formulations focus primarily on tracking error convergence, often neglecting the…

系统与控制 · 电气工程与系统科学 2025-05-19 Rebecca G. Hart , Omkar Sudhir Patil , Zachary I. Bell , Warren E. Dixon

In this paper, we present a Stochastic Deep Neural Network-based Model Reference Adaptive Control. Building on our work "Deep Model Reference Adaptive Control", we extend the controller capability by using Bayesian deep neural networks…

系统与控制 · 电气工程与系统科学 2021-08-09 Girish Joshi , Girish Chowdhary

In this paper, we present a framework for Stability Analysis of Systems of Coupled Linear Partial-Differential Equations. The class of PDE systems considered in this paper includes parabolic, elliptic and hyperbolic systems with Dirichelet,…

最优化与控制 · 数学 2018-03-28 Matthew M. Peet

This paper addresses the challenges associated with decentralized voltage control in power grids due to an increase in distributed generations (DGs). Traditional model-based voltage control methods struggle with the rapid energy…

最优化与控制 · 数学 2023-12-08 Han Xu , Jialin Zheng , Guannan Qu

Deep neural networks (DNNs) are powerful black-box function approximators which have been shown to yield improved performance compared to traditional neural network (NN) architectures. However, black-box algorithms do not incorporate known…

系统与控制 · 电气工程与系统科学 2025-10-27 Rebecca G. Hart , Wanjiku A. Makumi , Rushikesh Kamalapurkar , Warren E. Dixon

This paper investigates the sparse recovery models for bad data detection and state estimation in power networks. Two sparse models, the sparse L1-relaxation model (L1-R) and the multi-stage convex relaxation model (Capped-L1), are compared…

最优化与控制 · 数学 2016-06-08 Junwei Yang , Wenchuan Wu , Weiye Zheng , Wenjun Xian , Boming Zhang

Grid-interfacing inverters act as the interface between renewable resources and the electric grid, and have the potential to offer fast and programmable controls compared to synchronous generators. With this flexibility there has been…

系统与控制 · 电气工程与系统科学 2025-03-25 Trager Joswig-Jones , Baosen Zhang

We consider the problem of discounted optimal state-feedback regulation for general unknown deterministic discrete-time systems. It is well known that open-loop instability of systems, non-quadratic cost functions and complex nonlinear…

系统与控制 · 电气工程与系统科学 2020-03-31 Alexandros Tanzanakis , John Lygeros

The paper is devoted to a design of a common bounded feedback control steering a system of an arbitrary number of linear oscillators to the equilibrium. At high energies, the control is based on the asymptotic theory of reachable sets of…

最优化与控制 · 数学 2015-11-16 Alexander Ovseevich , Aleksey Fedorov