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pro vyhledávání: '"65l80"'
Autor:
Marzouk, Osama A.
Publikováno v:
International Journal of Advanced and Applied Sciences. 12(1), 30-51 (2025)
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 of 35 diff
Externí odkaz:
http://arxiv.org/abs/2412.17280
The relationship between different dissipativity concepts for linear time-varying systems is studied, in particular between port-Hamiltonian systems, passive systems, and systems with nonnegative supply. It is shown that linear time-varying port-Hami
Externí odkaz:
http://arxiv.org/abs/2412.16396
A Flight-Mechanics Solver for Aircraft Inverse Simulations and Application to 3D Mirage-III Maneuver
Autor:
Marzouk, Osama A.
Publikováno v:
Global Journal of Control Engineering and Technology, vol. 1, pp. 14-26, 2015
The main objective of this paper is to present a general mathematical model and an associated numerical algorithm applicable to an arbitrary fixed-wing fixed-mass aircraft undergoing an arbitrary maneuver, based on the 3D nonlinear coupled differenti
Externí odkaz:
http://arxiv.org/abs/2411.00834
Autor:
Hanke, Michael, März, Roswitha
In contrast to regular ordinary differential equations, the problem of accurately setting initial conditions just emerges in the context of differential-algebraic equations where the dynamic degree of freedom of the system is smaller than the absolut
Externí odkaz:
http://arxiv.org/abs/2410.19585
Autor:
Carrel, Benjamin
This paper introduces new dynamical low-rank (DLR) methods for solving large-scale matrix differential equations, motivated by algorithms from randomised numerical linear algebra. The new methods consist essentially of two steps: a range estimation s
Externí odkaz:
http://arxiv.org/abs/2410.17091
Autor:
Popov, I. S.
A numerical method ADER-DG with a local DG predictor for solving a DAE system has been developed, which was based on the formulation of ADER-DG methods using a local DG predictor for solving ODE and PDE systems. The basis functions were chosen in the
Externí odkaz:
http://arxiv.org/abs/2410.04018
Matrix evolution equations occur in many applications, such as dynamical Lyapunov/Sylvester systems or Riccati equations in optimization and stochastic control, machine learning or data assimilation. In many cases, their tightest stability condition
Externí odkaz:
http://arxiv.org/abs/2406.13761
We consider the problem of estimating the error when solving a system of differential algebraic equations. Richardson extrapolation is a classical technique that can be used to judge when computational errors are irrelevant and estimate the discretiz
Externí odkaz:
http://arxiv.org/abs/2406.08257
Autor:
Altmann, R., Moradi, A.
This paper deals with the application of probabilistic time integration methods to semi-explicit partial differential-algebraic equations of parabolic type and its semi-discrete counterparts, namely semi-explicit differential-algebraic equations of i
Externí odkaz:
http://arxiv.org/abs/2406.07220
In the simulation of differential-algebraic equations (DAEs), it is essential to employ numerical schemes that take into account the inherent structure and maintain explicit or hidden algebraic constraints without altering them. This paper focuses on
Externí odkaz:
http://arxiv.org/abs/2404.13531