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We consider the problem of distributed state estimation of a linear time-invariant (LTI) system by a network of sensors. We develop a distributed observer that guarantees asymptotic reconstruction of the state for the most general class of…

系统与控制 · 计算机科学 2017-04-27 Aritra Mitra , Shreyas Sundaram

This paper proposes a distributed prescribed-time observer for nonlinear systems representable in a block-triangular observable canonical form. Using a weighted average of neighbor estimates exchanged over a strongly connected digraph, each…

系统与控制 · 电气工程与系统科学 2025-04-15 Vincent de Heij , M. Umar B. Niazi , Karl H. Johansson , Saeed Ahmed

Self-supervised learning (SSL) approaches have brought tremendous success across many tasks and domains. It has been argued that these successes can be attributed to a link between SSL and identifiable representation learning: Temporal…

机器学习 · 统计学 2025-06-03 Rodrigo González Laiz , Tobias Schmidt , Steffen Schneider

This paper studies the problem of secure state estimation of a linear time-invariant (LTI) system with bounded noise in the presence of sparse attacks on an unknown, time-varying set of sensors. In other words, at each time, the attacker…

系统与控制 · 电气工程与系统科学 2023-07-24 Zishuo Li , Muhammad Umar B. Niazi , Changxin Liu , Yilin Mo , Karl H. Johansson

Designing Luenberger observers for nonlinear systems involves the challenging task of transforming the state to an alternate coordinate system, possibly of higher dimensions, where the system is asymptotically stable and linear up to output…

最优化与控制 · 数学 2023-04-06 Muhammad Umar B. Niazi , John Cao , Xudong Sun , Amritam Das , Karl Henrik Johansson

A significant challenge in many fields of science and engineering is making sense of time-dependent measurement data by recovering governing equations in the form of differential equations. We focus on finding parsimonious ordinary…

机器学习 · 计算机科学 2024-10-04 Doris Voina , Steven Brunton , J. Nathan Kutz

We present the first provable method for identifying symmetric linear dynamical systems (LDS) with accuracy guarantees that are independent of the systems' state dimension or effective memory. Our approach builds upon recent work that…

机器学习 · 计算机科学 2025-05-26 Devan Shah , Shlomo Fortgang , Sofiia Druchyna , Elad Hazan

In this paper, a machine learning based observer for systems evolving on manifolds is designed such that the state of the observer is restricted to the Lie group on which the system evolves. Conventional techniques involving machine…

系统与控制 · 电气工程与系统科学 2024-01-23 Soham Shanbhag , Dong Eui Chang

This paper proposes a novel distributed interval-valued simultaneous state and input observer for linear time-invariant (LTI) systems that are subject to attacks or unknown inputs injected both on their sensors and actuators. Each agent in…

系统与控制 · 电气工程与系统科学 2024-02-15 Mohammad Khajenejad , Scott Brown , Sonia Martinez

The task of state estimation in active distribution systems faces a major challenge due to the integration of different measurements with multiple reporting rates. As a result, distribution systems are essentially unobservable in real time,…

最优化与控制 · 数学 2024-05-13 J. G. De la Varga , S. Pineda , J. M. Morales , Á. Porras

We consider a blind identification problem in which we aim to recover a statistical model of a network without knowledge of the network's edges, but based solely on nodal observations of a certain process. More concretely, we focus on…

机器学习 · 计算机科学 2020-05-08 Michael T. Schaub , Santiago Segarra , John N. Tsitsiklis

Dynamic state estimation (DSE) is becoming increasingly important for monitoring inverter-dominated power systems. Due to their cascading control structures, inverter-based resources (IBRs) exhibit multi-timescale dynamics, leading to stiff…

系统与控制 · 电气工程与系统科学 2026-04-22 Xingyu Zhao , Marcos Netto , Junbo Zhao

This work investigates model reduction techniques for nonlinear parameterized and time-dependent PDEs, specifically focusing on bifurcating phenomena in Computational Fluid Dynamics (CFD). We develop interpretable and non-intrusive Reduced…

数值分析 · 数学 2025-12-01 Lorenzo Tomada , Moaad Khamlich , Federico Pichi , Gianluigi Rozza

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

We propose an SDP-based framework to address the stabilization of input delay systems while taking into account dissipative constraints. A key to our approach is the introduction of the concept of parameterized linear dynamical state…

最优化与控制 · 数学 2025-12-02 Qian Feng , Cong Zhang , Bo Wei

The state estimation of continuous-time nonlinear systems in which a subset of sensor outputs can be maliciously controlled through injecting a potentially unbounded additive signal is considered in this paper. Analogous to our earlier work…

最优化与控制 · 数学 2020-08-31 Michelle S. Chong , Henrik Sandberg , Joao P. Hespanha

Sparse identification of nonlinear dynamics (SINDy) has been widely used to discover the governing equations of a dynamical system from data. It uses sparse regression techniques to identify parsimonious models of unknown systems from a…

统计方法学 · 统计学 2026-04-07 Kairui Ding

A symmetry-preserving, reduced-order state observer is presented for the unmeasured part of a system's state, where the nonlinear system dynamics exhibit symmetry under the action of a Lie group. Leveraging this symmetry with a moving…

系统与控制 · 电气工程与系统科学 2025-08-29 Jeremy W. Hopwood , Craig A. Woolsey

Distribution System State Estimation (DSSE) is becoming increasingly important with the integration of Distributed Energy Resources (DERs) and the active operation of distribution networks (DNs), but it remains challenging due to the…

最优化与控制 · 数学 2026-05-25 J. G. De la Varga , S. Pineda , A. Stratigakos , J. M. Morales

Sparse regression has emerged as a popular technique for learning dynamical systems from temporal data, beginning with the SINDy (Sparse Identification of Nonlinear Dynamics) framework proposed by arXiv:1509.03580. Quantifying the…

统计方法学 · 统计学 2023-08-21 Sara Venkatraman , Sumanta Basu , Martin T. Wells