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Hawkes Processes have undergone increasing popularity as default tools for modeling self- and mutually exciting interactions of discrete events in continuous-time event streams. A Maximum Likelihood Estimation (MLE) unconstrained…

机器学习 · 计算机科学 2021-05-11 Rafael Lima

This paper proposes an algorithm that combines Fast Moving Horizon Parameter Estimation and Model Predictive Control subject to an observability constraint designed to ensure a lower bound on the performance of the parameter estimator.…

最优化与控制 · 数学 2023-03-27 Emilien Flayac , Girish Nair , Iman Shames

This paper presents a recursive solution to the receding or moving horizon estimation (MHE) problem for nonlinear time-variant systems. We provide the conditions under which the recursive MHE is equivalent to the extended Kalman filter…

系统与控制 · 电气工程与系统科学 2025-06-24 Xu Weng , K. V. Ling , Ling Zhao

The paper deals with state estimation of a spatially distributed system given noisy measurements from pointwise-in-time-and-space threshold sensors spread over the spatial domain of interest. A Maximum A posteriori Probability (MAP)…

系统与控制 · 电气工程与系统科学 2019-09-24 Giorgio Battistelli , Luigi Chisci , Nicola Forti , Stefano Gherardini

Analysis of transient stability of strongly nonlinear post-fault dynamics is one of the most computationally challenging parts of Dynamic Security Assessment. This paper proposes a novel approach for assessment of transient stability of the…

系统与控制 · 计算机科学 2017-11-01 Thanh Long Vu , Konstantin Turitsyn

This paper presents a novel scalable framework to solve the optimization of a nonlinear system with differential algebraic equation (DAE) constraints that enforce the asymptotic stability of the underlying dynamic model with respect to…

最优化与控制 · 数学 2018-10-11 Qifeng Li , Konstantin Turitsyn

Estimating and reacting to disturbances is crucial for robust flight control of quadrotors. Existing estimators typically require significant tuning for a specific flight scenario or training with extensive ground-truth disturbance data to…

机器人学 · 计算机科学 2023-11-15 Bingheng Wang , Zhengtian Ma , Shupeng Lai , Lin Zhao

Machine learning techniques have demonstrated their effectiveness in achieving autonomy and optimality for nonlinear and high-dimensional dynamical systems. However, traditional black-box machine learning methods often lack formal stability…

系统与控制 · 电气工程与系统科学 2025-01-03 Kun Wang , Roberto Armellin , Adam Evans , Harry Holt , Zheng Chen

For discrete time nonlinear systems satisfying an exponential or finite time controllability assumption, we present an analytical formula for a suboptimality estimate for model predictive control schemes without stabilizing terminal…

最优化与控制 · 数学 2011-09-27 Lars Grüne , Jürgen Pannek , Martin Seehafer , Karl Worthmann

In this work we solve the position-aided 3D navigation problem using a nonlinear estimation scheme. More precisely, we propose a nonlinear observer to estimate the full state of the vehicle (position, velocity, orientation and gyro bias)…

系统与控制 · 电气工程与系统科学 2021-03-26 Soulaimane Berkane , Abdelhamid Tayebi

This paper discusses the stabilizability, weak stabilizability, exact observability and robust quadratic stabilizability of linear stochastic control systems. By means of the spectrum technique of the generalized Lyapunov operator, a…

最优化与控制 · 数学 2023-07-19 Weihai Zhang , Bor-Sen Chen

This paper considers the problem of nonlinear attitude estimation for a rigid body system using intermittent and multi-rate inertial vector measurements as well as continuous (high-rate) angular velocity measurements. Two types of hybrid…

系统与控制 · 电气工程与系统科学 2024-01-09 Miaomiao Wang , Abdelhamid Tayebi

Optimisation-based algorithms known as Moving Horizon Estimator (MHE) have been developed through the years. This paper illustrates the implementation of the policy introduced in the companion paper submitted to the 18th IFAC Workshop on…

最优化与控制 · 数学 2022-04-21 Federico Oliva , Daniele Carnevale

The stability analysis of model predictive control schemes without terminal constraints and/or costs has attracted considerable attention during the last years. We pursue a recently proposed approach which can be used to determine a…

最优化与控制 · 数学 2014-01-16 Philipp Braun , Jürgen Pannek , Karl Worthmann

A geometric nonlinear observer algorithm for Simultaneous Localization and Mapping (SLAM) developed on the Lie group of \mathbb{SLAM}_{n}\left(3\right) is proposed. The presented novel solution estimates the vehicle's pose (i.e. attitude…

系统与控制 · 电气工程与系统科学 2020-09-25 Hashim A. Hashim

We develop a versatile deep neural network architecture, called Lyapunov-Net, to approximate Lyapunov functions of dynamical systems in high dimensions. Lyapunov-Net guarantees positive definiteness, and thus it can be easily trained to…

机器学习 · 计算机科学 2022-08-19 Nathan Gaby , Fumin Zhang , Xiaojing Ye

The asymmetric objective function is proposed as an alternative to Huber objective function to model skewness and obtain robust estimators for the location, scale and skewness parameters. The robustness and asymptotic properties of the…

统计理论 · 数学 2017-02-02 Mehmet Niyazi Cankaya , Olcay Arslan

We consider estimation of a functional parameter of a realistically modeled data distribution based on observing independent and identically distributed observations. We define an $m$-th order Spline Highly Adaptive Lasso Minimum Loss…

统计理论 · 数学 2021-07-05 Mark J. van der Laan , David Benkeser , Weixin Cai

Hyperexponential stability is investigated for dynamical systems with the use of both, explicit and implicit, Lyapunov function methods. A nonlinear hyperexponential control is designed for stabilizing linear systems. The tuning procedure…

系统与控制 · 电气工程与系统科学 2022-07-19 Konstantin Zimenko , Denis Efimov , Andrey Polyakov

This paper presents an adaptive horizon multi-stage model-predictive control (MPC) algorithm. It establishes appropriate criteria for recursive feasibility and robust stability using the theory of input-to-state practical stability (ISpS).…

最优化与控制 · 数学 2023-06-23 Zawadi Mdoe , Dinesh Krishnamoorthy , Johannes Jäschke