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This paper deals with the controllability of linear one-dimensional hyperbolic systems. Reformulating the problem in terms of linear difference equations and making use of infinite-dimensional realization theory, we obtain both necessary…

Optimization and Control · Mathematics 2024-05-14 Yacine Chitour , Sébastien Fueyo , Guilherme Mazanti , Mario Sigalotti

We propose a global constructibility analysis for a vehicle moving on a planar surface. Assuming that the vehicle follows a trajectory that can be uniquely identified by the sequence of control inputs and by some intermittent ranging…

Systems and Control · Electrical Eng. & Systems 2024-08-27 Francesco Riz , Luigi Palopoli , Daniele Fontanelli

Visibility distance on the road pathway plays a significant role in road safety and in particular, has a clear impact on the choice of speed limits. Visibility distance is thus of importance for road engineers and authorities. While…

Computer Vision and Pattern Recognition · Computer Science 2016-01-22 Pierre Charbonnier , Jean-Philippe Tarel , Francois Goulette

A physical metric is constructed as one that gives a coordinate independent result for the time delay in infinite order in the perturbation expansion in the gravitational constant. A compact form for the metric is obtained. One result is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yukio Tomozawa

This paper is a continuation of our paper about boundary rigidity and filling minimality of metrics close to flat ones. We show that compact regions close to a hyperbolic one are boundary distance rigid and strict minimal fillings. We also…

Differential Geometry · Mathematics 2019-12-19 Dmitri Burago , Sergei Ivanov

We consider two or more simple symmetric walks on some graphs, e.g. the real line, the plane or the two dimensional comb lattice, and investigate the properties of the distance among the walkers.

Probability · Mathematics 2016-07-27 Endre Csaki , Antonia Foldes , Pal Revesz

Natural coordinate system will be proposed. In this coordinate system alignment procedure of a device and a detector can be easily performed. This approach is generalization of previous specific formulas in the field of calibration and…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 R. A. Kycia , Z. Tabor

The paper presents some characteristics of unsteady scalar planar fields and studies their properties that are relevant to research on environmental extremum seeking and tracking environmental boundaries by mobile robots.

Optimization and Control · Mathematics 2016-08-17 Alexey S. Matveev , Anna A Semakova , Andrey V. Savkin

The use of unmanned aerial vehicles (UAVs) for different applications has increased many folds in recent years. The UAVs are expected to change the future air operations. However, there are instances where the UAVs can be used for malicious…

Signal Processing · Electrical Eng. & Systems 2022-11-21 Wahab Khawaja , Martins Ezuma , Vasilii Semkin , Fatih Erden , Ozgur Ozdemir , Ismail Guvenc

The coordinate conditions for three exact solutions for the metric components of a coordinate system with constant acceleration or of a static plane symmetric gravitational field are presented. First, the coordinate condition that the…

Physics Education · Physics 2007-12-25 Preston Jones , Lucas Wanex

This paper presents a new observer design approach for linear time invariant multivariable systems subject to unknown inputs. The design is based on a transformation to the so-called special coordinate basis. This form reveals important…

Systems and Control · Electrical Eng. & Systems 2021-11-30 Markus Tranninger , Helmut Niederwieser , Richard Seeber , Martin Horn

A radar system emits probing signals and records the reflections. Estimating the relative angles, delays, and Doppler shifts from the received signals allows to determine the locations and velocities of objects. However, due to practical…

Information Theory · Computer Science 2018-10-09 Reinhard Heckel

This work is a survey on completely regular codes. Known properties, relations with other combinatorial structures and constructions are stated. The existence problem is also discussed and known results for some particular cases are…

Combinatorics · Mathematics 2017-03-28 J. Borges , J. Rifà , V. A. Zinoviev

It is well known that observers will be accelerated when they approach the planets. Thus, discussing the properties of accelerating observers in the Schwarzschild space is of sense. For the sake of simplicity, we can construct these…

General Relativity and Quantum Cosmology · Physics 2009-03-04 Yapeng Hu , Guihua Tian , Zheng Zhao

This paper extends the application of a recently proposed nonlinear observer (cubic observer) for state estimation of linear systems with unknown inputs and delays. The generalized structure proposed here, makes it possible to establish a…

Optimization and Control · Mathematics 2019-12-24 Mohammad Mahdi Share Pasand

We revisit the methods to determine the Galactic rotation curve and kinematical distances from radial velocities and proper motions. We construct "accuracy diagrams" to show the distributions in the galactic plane of expected uncertainties…

Astrophysics of Galaxies · Physics 2015-05-28 Yoshiaki Sofue

Knowledge about the own pose is key for all mobile robot applications. Thus pose estimation is part of the core functionalities of mobile robots. Over the last two decades, LiDAR scanners have become the standard sensor for robot…

Robotics · Computer Science 2024-03-25 Huan Yin , Xuecheng Xu , Sha Lu , Xieyuanli Chen , Rong Xiong , Shaojie Shen , Cyrill Stachniss , Yue Wang

Interaction of spin with electromagnetic field yields an effective metric along the world line of spinning particle. If we insist to preserve the usual special-relativity definitions of time and distance, critical speed which spinning…

General Physics · Physics 2015-06-03 Alexei A. Deriglazov , Walberto Guzmán Ramírez

Distances play important roles in cosmological observations, especially in gravitational lens systems, but there is a problem in determining distances because they are defined in terms of light propagation, which is influenced…

Astrophysics · Physics 2008-11-26 Kenji Tomita , Hideki Asada , Takashi Hamana

When working around other agents such as humans, it is important to model their perception capabilities to predict and make sense of their behavior. In this work, we consider agents whose perception capabilities are determined by their…

Robotics · Computer Science 2025-08-12 Maulik Bhatt , HongHao Zhen , Monroe Kennedy , Negar Mehr