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In this article we develop a tractable procedure for testing strict stationarity in a double autoregressive model and formulate the problem as testing if the top Lyapunov exponent is negative. Without strict stationarity assumption, we…

Statistics Theory · Mathematics 2019-02-12 Shaojun Guo , Dong Li , Muyi Li

Attitude stabilization of unmanned aerial vehicles (UAVs) in uncertain environments presents significant challenges due to nonlinear dynamics, parameter variations, and sensor limitations. This paper presents a comparative study of…

Systems and Control · Electrical Eng. & Systems 2026-03-16 Tanay Kumar , Raktim Bhattacharya

We demonstrate that, under orthographic projection and with a camera fixated on a point located on a rigid body, the rotation of that body can be analytically obtained by tracking only one other feature in the image. With some exceptions,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Daniel Raviv , Juan D. Yepes , Eiki M. Martinson

We propose an observer for rotational dynamics subject to directional and gyroscopic measurements, which simultaneously estimates the gyroscopic biases and attitude rates. We show uniform almost global asymptotic and local exponential…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Erjen Lefeber , Marcus Greiff , Anders Robertsson

Inertial Velocity-Aided Attitude (VAA), the estimation of the velocity and attitude of a vehicle using gyroscope, accelerometer, and inertial-frame velocity (e.g. GPS velocity) measurements, is an important problem in the control of…

Systems and Control · Electrical Eng. & Systems 2026-01-19 Pieter van Goor , Tarek Hamel , Robert Mahony

This paper addresses the problem of risk-aware fixed-time stabilization of a class of uncertain, output-feedback nonlinear systems modeled via stochastic differential equations. First, novel classes of certificate functions, namely…

Optimization and Control · Mathematics 2024-04-01 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Dimitra Panagou

A Markov decision process-based state switching is devised, implemented, and analyzed for proximity operations of various autonomous vehicles. The framework contains a pose estimator along with a multi-state guidance algorithm. The unified…

Robotics · Computer Science 2024-10-22 Deep Parikh , Ali Hasnain Khowaja , Manoranjan Majji

The paper proposes the stable motion control law design method for non-honomic differential-drive mobile robot with system and measurement noise in discrete time domain. This method is performed basing on dividing operating configuration of…

Robotics · Computer Science 2020-05-14 Thi Thanh Van Nguyen , Manh Duong Phung , Quang Vinh Tran

Robot-mediated human-human (dyadic) interactions enable therapists to provide physical therapy remotely, yet an accurate perception of patient stiffness remains challenging due to network-induced haptic delays. Conventional stiffness…

Robotics · Computer Science 2026-01-27 Mingtian Du , Suhas Raghavendra Kulkarni , Bernardo Noronha , Domenico Campolo

Estimating the state of an environment from high-dimensional, multimodal, and noisy observations is a fundamental challenge in reinforcement learning (RL). Traditional approaches rely on probabilistic models to account for the uncertainty,…

Machine Learning · Computer Science 2026-02-13 Alfredo Reichlin , Adriano Pacciarelli , Danica Kragic , Miguel Vasco

In this note we identify a class of underactuated mechanical systems whose desired constant equilibrium position can be globally stabilised with the ubiquitous PID controller. The class is characterised via some easily verifiable conditions…

Dynamical Systems · Mathematics 2016-10-25 Jose Guadalupe Romero , Alejandro Donaire , Romeo Ortega

Chaos indicators, like the Lyapunov exponent lambda, are widely used in celestial mechanics to characterize the dynamical behavior of bodies. The stability of their orbit can be determined by the calculation of the local exponential…

Computational Physics · Physics 2009-02-02 E. Gerlach

The robust tracking and model following problem of linear discrete-time systems is investigated in this paper. An approach to design robust tracking controllers is proposed. The system is controlled to track dynamic inputs generated from a…

Systems and Control · Computer Science 2016-07-12 Omar Zakary , Mostafa Rachik

We propose a novel message-passing solution to the sixth-dimensional (6D) moving rigid body localization (RBL) problem, in which the three-dimensional (3D) translation vector and rotation angles, as well as their corresponding translational…

The ever increasing complexity of real-time control systems results in significant deviations in the timing of sensing and actuation, which may lead to degraded performance or even instability. In this paper we present a method to analyze…

Systems and Control · Electrical Eng. & Systems 2020-04-27 Maximilian Gaukler , Günter Roppenecker , Peter Ulbrich

This paper describes a novel method for the estimation of the trajectory curve and orientation of a rigid body moving along a railway track. Compared to other recent developments in the literature, the presented approach has the significant…

Computational Engineering, Finance, and Science · Computer Science 2022-03-15 J. González-Carbajal , Pedro Urda , Sergio Muñoz , José L. Escalona

For a dynamical system, it is known that the existence of a Lyapunov-type density function, called Lyapunov density or Rantzer's density function, implies convergence of Lebesgue almost all solutions to an equilibrium. Using the duality…

Adaptation and Self-Organizing Systems · Physics 2018-03-12 Ozkan Karabacak , Rafael Wisniewski , John-Josef Leth

We propose a simple nonlinear observer for estimating the attitude and velocity of a rigid body from the measurements of specific acceleration, angular velocity, magnetic field (in body axes), and linear velocity (in body axes). It is…

Optimization and Control · Mathematics 2016-08-29 Philippe Martin , Ioannis Sarras , Minh-Duc Hua , Tarek Hamel

In the paper, we propose a robust real-time visual odometry in dynamic environments via rigid-motion model updated by scene flow. The proposed algorithm consists of spatial motion segmentation and temporal motion tracking. The spatial…

Robotics · Computer Science 2019-07-22 Sangil Lee , Clark Youngdong Son , H. Jin Kim

This paper presents a deterministic hybrid observer for the attitude dynamics of a rigid body that guarantees global asymptotical stability. Any smooth attitude observer suffers from the inherent topological restriction that it is…

Optimization and Control · Mathematics 2015-09-08 Tse-Huai Wu , Taeyoung Lee
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