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We study the problem of system identification for stochastic continuous-time dynamics, based on a single finite-length state trajectory. We present a method for estimating the possibly unstable open-loop matrix by employing properly…

机器学习 · 统计学 2025-09-30 Reza Sadeghi Hafshejani , Mohamad Kazem Shirani Fradonbeh

This paper proposes local exponential observers for systems on linear Lie groups. We study two different classes of systems. In the first class, the full state of the system evolves on a linear Lie group and is available for measurement. In…

最优化与控制 · 数学 2015-04-29 Mikhail Koldychev , Christopher Nielsen

The safety monitoring for nonlinear dynamical systems with embedded neural network components is addressed in this paper. The interval-observer-based safety monitor is developed consisting of two auxiliary neural networks derived from the…

系统与控制 · 电气工程与系统科学 2024-11-18 Tao Wang , Yapeng Li , Zihao Mo , Wesley Cooke , Weiming Xiang

Dynamic perturbation equations are derived for a generic stationary state of an elastic string model -- of the kind appropriate for representing a superconducting cosmic string -- in a flat background. In the case of a circular equilibrium…

高能物理 - 理论 · 物理学 2009-11-10 Brandon Carter , Xavier Martin

In this paper, we propose fixed-order set-valued (in the form of l2-norm hyperballs) observers for some classes of nonlinear bounded-error dynamical systems with unknown input signals that simultaneously find bounded hyperballs of states…

系统与控制 · 电气工程与系统科学 2022-05-24 Mohammad Khajenejad , Sze Zheng Yong

We derive an exact deterministic nonlinear observer to compute the continuous state of an inertial navigation system based on partial discrete measurements, the so-called strapdown problem. Nonlinear contraction is used as the main analysis…

最优化与控制 · 数学 2007-05-23 Yong Zhao , Jean-Jacques E. Slotine

In this paper, we propose a novel nonlinear observer based on neural networks, called neural observer, for observation tasks of linear time-invariant (LTI) systems and uncertain nonlinear systems. In particular, the neural observer designed…

最优化与控制 · 数学 2023-01-18 Song Chen , Shengze Cai , Tehuan Chen , Chao Xu , Jian Chu

In this paper, we are concerned with the stabilization of linear port-Hamiltonian systems of arbitrary order $N \in \mathbb{N}$ on a bounded $1$-dimensional spatial domain $(a,b)$. In order to achieve stabilization, we couple the system to…

最优化与控制 · 数学 2018-09-12 Jochen Schmid , Hans Zwart

The internal state of a dynamical system, a set of variables that defines its evolving configuration, is often hidden and cannot be fully measured, posing a central challenge for real-time monitoring and control. While observers are…

系统与控制 · 电气工程与系统科学 2025-12-09 Yuan Zhang , Ziyuan Luo , Wenxuan Xu , Jiayu Wu , Wenqi Cao , Ranbo Cheng , Tingting Qin , Yuanqing Xia , Mohamed Darouach , Aming Li , Tyrone Fernando

In this work, the problem of designing observers for estimating a single nonlinear functional of the state is formulated for general nonlinear systems. Notions of functional observer linearization are also formulated, in terms achieving…

系统与控制 · 电气工程与系统科学 2021-09-15 Costas Kravaris , Sunjeev Venkateswaran

We study the problem of designing interval-valued observers that simultaneously estimate the system state and learn an unknown dynamic model for partially unknown nonlinear systems with dynamic unknown inputs and bounded noise signals.…

系统与控制 · 电气工程与系统科学 2020-04-09 Mohammad Khajenejad , Zeyuan Jin , Sze Zheng Yong

This paper addresses the problem of estimating the position of an object moving in $R^n$ from direction and velocity measurements. After addressing observability issues associated with this problem, a nonlinear observer is designed so as to…

系统与控制 · 计算机科学 2015-03-27 Florent Le Bras , Tarek Hamel , Robert Mahony , Claude Samson

Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based stabilizing controllers for incrementally quadratic nonlinear…

最优化与控制 · 数学 2020-07-17 Xiangru Xu , Behcet Acikmese , Martin J. Corless

We analyze the observability of motion estimates from the fusion of visual and inertial sensors. Because the model contains unknown parameters, such as sensor biases, the problem is usually cast as a mixed identification/filtering, and the…

机器人学 · 计算机科学 2015-04-28 Joshua Hernandez , Konstantine Tsotsos , Stefano Soatto

Using any nonnegative function with a nonpositive derivative along trajectories to define a virtual output, the classic LaSalle invariance principle can be extended to switched nonlinear time-varying (NLTV) systems, by considering the weak…

系统与控制 · 电气工程与系统科学 2020-06-04 Ti-Chung Lee , Ying Tan , Youfeng Su , Iven Mareels

Stability and stabilization of linear port-Hamiltonian systems on infinite-dimensional spaces are investigated. This class is general enough to include models of beams and waves as well as transport and Schr\"odinger equations with boundary…

偏微分方程分析 · 数学 2016-04-26 Björn Augner , Birgit Jacob

The method to design exponentially stable adaptive observers is proposed for linear time-invariant systems parameterized by unknown physical parameters. Unlike existing adaptive solutions, the system state-space matrices A, B are not…

系统与控制 · 电气工程与系统科学 2023-08-22 Anton Glushchenko , Konstantin Lastochkin

This is the last part of four series papers, aiming at stabilization for signal-input-signaloutput (SISO) linear finite-dimensional systems corrupted by general input disturbances. A new observer, referred to as Extended Dynamics Observer…

系统与控制 · 电气工程与系统科学 2020-11-13 Hongyinping Feng , Bao-Zhu Guo

This paper explores the observability and estimation capability of dynamical systems using predominantly relative measurements of the system's state-space variables, with minimal to no reliance on absolute measurements of these variables.…

系统与控制 · 电气工程与系统科学 2024-10-29 Ioannis Raptis

In this paper we consider estimating the system parameters and designing stable observer for unknown noisy linear time-invariant (LTI) systems. We propose a Support Vector Regression (SVR) based estimator to provide adjustable asymmetric…

系统与控制 · 电气工程与系统科学 2022-05-17 Xuda Ding , Han Wang , Jianping He , Cailian Chen , Xinping Guan