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In this paper, we investigate the asymptotic behaviors of the solutions of nonlinear dynamic systems nearby an equilibrium point, when the nominal parts are subject to non necessarily small perturbations. We show that, under some estimates…

动力系统 · 数学 2020-08-07 Mondher Benjemaa , Wided Gouadri , Mohamed Ali Hammami

We consider the problem of bearing-based visual homing: Given a mobile robot which can measure bearing directions with respect to known landmarks, the goal is to guide the robot toward a desired "home" location. We propose a control law…

最优化与控制 · 数学 2014-02-17 Roberto Tron , Kostas Daniilidis

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…

统计理论 · 数学 2019-02-12 Shaojun Guo , Dong Li , Muyi Li

Forecasting the evolution of complex systems is one of the grand challenges of modern data science. The fundamental difficulty lies in understanding the structure of the observed stochastic process. In this paper, we show that every…

统计理论 · 数学 2020-01-01 Xiucai Ding , Zhou Zhou

The classical problem of attitude stability in a central gravity field is generalized to that on a stationary orbit around a uniformly-rotating asteroid. This generalized problem is studied in the framework of geometric mechanics. Based on…

地球与行星天体物理 · 物理学 2014-09-03 Yue Wang , Shijie Xu

This paper presents an Adaptive Gain Nonlinear Observer (AGNO) for estimating the external interaction wrench (forces and torques) in human-UAV physical interaction for assistive payload transportation. The proposed AGNO uses the full…

系统与控制 · 电气工程与系统科学 2026-03-10 Hussein N. Naser , Hashim A. Hashim , Mojtaba Ahmadi

Dynamic components of the friction may directly impact the stability and performance of the motion control systems. The LuGre model is a prevalent friction model utilized to express this dynamic behavior. Since the LuGre model is very…

系统与控制 · 电气工程与系统科学 2025-01-10 Caner Odabaş , Ömer Morgül

Stable estimation of rigid body pose and velocities from noisy measurements, without any knowledge of the dynamics model, is treated using the Lagrange-d'Alembert principle from variational mechanics. With body-fixed optical and inertial…

最优化与控制 · 数学 2015-09-16 Maziar Izadi , Amit Kumar Sanyal

In this work, asymptotically stable state estimation schemes are proposed for rigid body motion, using the framework of geometric mechanics. Rigorous stability analyses of the estimation schemes presented here guarantee the nonlinear…

最优化与控制 · 数学 2015-10-20 Maziar Izadi

This paper considers the problem of visual-inertial sensor fusion in the cooperative case and it provides new theoretical contributions, which regard its observability and its resolvability in closed form. The case of two agents is…

机器人学 · 计算机科学 2018-02-26 Agostino Martinelli

We consider the time-dependent nonlinear system $\dot q(t)=u(t)X(q(t))+(1-u(t))Y(q(t))$, where $q\in\R^2$, $X$ and $Y$ are two %$C^\infty$ smooth vector fields, globally asymptotically stable at the origin and $u:[0,\infty)\to\{0,1\}$ is an…

最优化与控制 · 数学 2016-08-16 Ugo Boscain , Grégoire Charlot , Mario Sigalotti

Although the performance of 3D human pose and shape estimation methods has improved significantly in recent years, existing approaches typically generate 3D poses defined in camera or human-centered coordinate system. This makes it…

计算机视觉与模式识别 · 计算机科学 2021-12-02 Seong Hyun Kim , Sunwon Jeong , Sungbum Park , Ju Yong Chang

Why would anyone wish to generalize the already unappetizing subject of rigid body motion to an arbitrary number of dimensions? At first sight, the subject seems to be both repellent and superfluous. The author will try to argue that an…

经典物理 · 物理学 2015-03-26 Francois Leyvraz

We study the dynamics of gauge theory and general relativity using fields of local observers, thus maintaining local Lorentz symmetry despite a space/time splitting of fields. We start with Yang--Mills theory, where observer fields are…

广义相对论与量子宇宙学 · 物理学 2014-09-11 Derek K. Wise

The hand-eye measurements have recently been proven to be very efficient for spacecraft attitude determination relative to an ellipsoidal asteroid. However, recent method does not guarantee full attitude observability for all conditions.…

系统与控制 · 电气工程与系统科学 2020-03-26 Jin Wu

This paper presents a novel Luenberger-style observer for robot manipulators with position measurements. Under the assumption that the state evolutions that are to be observed have bounded velocities, it is shown that the origin of the…

最优化与控制 · 数学 2007-05-23 Fabio Celani

This paper tackles the problem of estimating the relative position, orientation, and velocity between a UAV and a planar platform undergoing arbitrary 3D motion during approach and landing. The estimation relies on measurements from…

系统与控制 · 电气工程与系统科学 2025-12-23 Tarek Bouazza , Alessandro Melis , Soulaimane Berkane , Robert Mahony , Tarek Hamel

We design a reduced attitude controller for reorienting the spin axis of a gyroscope in a geometric control framework. The proposed controller preserves the inherent gyroscopic stability associated with a spinning axis-symmetric rigid body.…

系统与控制 · 电气工程与系统科学 2020-12-11 Nidhish Raj , Leonardo J. Colombo , Ashutosh Simha

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

This paper addresses accurate pose estimation (position, velocity, and orientation) for a rigid body using a combination of generic inertial-frame and/or body-frame measurements along with an Inertial Measurement Unit (IMU). By embedding…

系统与控制 · 电气工程与系统科学 2025-04-08 Sifeddine Benahmed , Soulaimane Berkane , Tarek Hamel