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Related papers: On the Existence of Flight Equilibria in Longitudi…

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We consider the simplified model of strategic allocation of trajectories in the airspace presented in a previous publication. Two types of companies, characterized by different cost functions, compete for allocation of trajectories in the…

Physics and Society · Physics 2016-10-14 Gérald Gurtner , Fabrizio Lillo

Stable aerial manipulation during dynamic tasks such as object catching, perching, or contact with rigid surfaces necessarily requires compliant behavior, which is often achieved via impedance control. Successful manipulation depends on how…

Systems and Control · Electrical Eng. & Systems 2025-04-04 Amitabh Sharma , Saksham Gupta , Shivansh Pratap Singh , Rishabh Dev Yadav , Hongyu Song , Wei Pan , Spandan Roy , Simone Baldi

We present a general approach to prove existence of solutions for optimal control problems not based on typical convexity conditions which quite often are very hard, if not impossible, to check. By taking advantage of several relaxations of…

Optimization and Control · Mathematics 2014-01-21 Pablo Pedregal , Jorge Tiago

We present a robotics-oriented, coordinate-free formulation of inverse flight dynamics for fixed-wing aircraft on SO(3). Translational force balance is written in the world frame and rotational dynamics in the body frame; aerodynamic…

Robotics · Computer Science 2026-04-30 Antonio Franchi , Chiara Gabellieri

This paper investigates stability analysis of flapping flight. Due to time-varying aerodynamic forces, such systems do not display fixed points of equilibrium. The problem is therefore approached via a limit cycle analysis based on Floquet…

This article presents a three-dimensional nonlinear trajectory tracking control strategy for unmanned aerial vehicles (UAVs) in the presence of spatial constraints. As opposed to many existing control strategies, which do not consider…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

Accurate aircraft trajectory prediction (TP) in air traffic management systems is confounded by a number of epistemic uncertainties, dominated by uncertain meteorological conditions and operator specific procedures. Handling this…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Amy Hodgkin , Nick Pepper , Marc Thomas

This study presents a comprehensive mathematical framework for modeling the flight dynamics of a six-degree-of-freedom fixed-wing aircraft as a rigid body with three control surfaces: rudder, elevators, and ailerons. The framework consists…

Systems and Control · Electrical Eng. & Systems 2024-12-24 Osama A. Marzouk

We address the aircraft conflict resolution problem under trajectory prediction uncertainty. We consider that aircraft velocity vectors may be perturbed due to weather effects, such as wind, or measurement errors. Such perturbations may…

Optimization and Control · Mathematics 2020-12-16 Fernando H C Dias , David Rey

The origin of equilibrium gravitational configurations is sought in terms of the stability of their trajectories, as described by the curvature of their Lagrangian configuration manifold. We focus on the case of spherical systems, which are…

Cosmology and Nongalactic Astrophysics · Physics 2012-03-20 Amr El-Zant

In the present work, control of time-optimal trajectory for a Dubins airplane in presence of moving and fixed obstacles is obtained. We show that for a Dubins airplane with an initial position, the control variable can be obtained using the…

Optimization and Control · Mathematics 2019-02-27 Z. Fathi , B. Bidabad , M. Najafpour

This paper presents the development of a comprehensive dynamics and stabilizing control architecture for Tethered Unmanned Aerial Vehicle (TUAV) systems. The proposed architecture integrates both onboard and ground-based controllers,…

Systems and Control · Electrical Eng. & Systems 2024-12-13 Samuel Folorunsho , Maggie Ni , William Norris

This work answers positively the question whether non-stop flights are possible for maintaining constant the pose of cable-suspended objects. Such a counterintuitive answer paves the way for a paradigm shift where energetically efficient…

Robotics · Computer Science 2025-02-20 Chiara Gabellieri , Antonio Franchi

This paper discusses the stability of an equilibrium point of an ordinary differential equation (ODE) arising from a feed-forward position control for a musculoskeletal system. The studied system has a link, a joint and two muscles with…

Dynamical Systems · Mathematics 2019-04-30 Takahiro Kosugi , Hitoshi Kino , Masaaki Goto , Yuki Matsutani

In this paper, we study the stability and instability of plane wave solutions to semilinear systems of wave equations satisfying the null condition. We identify a condition which allows us to prove the global nonlinear asymptotic stability…

Analysis of PDEs · Mathematics 2020-09-04 John Anderson , Samuel Zbarsky

The Anthena Vortex Lattice (AVL) [1] program describes aerodynamic and flight-dynamic analysis of rigid aircraft of arbitrary configuration and we use it to analyse the stability modes of a Boeing 737-800 under various small perturbations…

Systems and Control · Electrical Eng. & Systems 2019-12-09 Blessed Arthur Ngwenya , Bob Osano

We explore driven lattice gases for the existence of an intensive thermodynamic variable which could determine "equilibration" between two nonequilibrium steady-state systems kept in weak contact. In simulations, we find that these systems…

Statistical Mechanics · Physics 2015-05-07 Punyabrata Pradhan , Christian P. Amann , Udo Seifert

In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some…

Optimization and Control · Mathematics 2020-06-15 Martin Gugat , Michael Schuster , Enrique Zuazua

Sufficient and necessary conditions are established for controllability of affine control systems where the control is constrained to a set whose convex hull contains the origin but is not necessarily, in contrast with previously known…

Optimization and Control · Mathematics 2025-12-10 Jean-Baptiste Caillau , Lamberto Dell'Elce , Alesia Herasimenka , Jean-Baptiste Pomet

Standard geometric control relies on force-moment decoupling, an assumption that breaks down in many aerial platforms due to spurious forces naturally induced by control moments. While strategies for such coupled systems have been validated…

Robotics · Computer Science 2026-02-20 Simone Orelli , Mirko Mizzoni , Antonio Franchi