Avoidance Control

1972 ◽  
Vol 94 (2) ◽  
pp. 152-154 ◽  
Author(s):  
R. Aggarwal ◽  
G. Leitmann
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
State Space ◽  
Admissible Control ◽  
Existence Theorems ◽  
Control Processes ◽  
Avoidance Control

An avoidance control is an admissible control which permits avoidance of a givenset of state space Rn. Existence theorems for avoidance controls are given for control processes governed by ordinary differential equations.

Existence Theorems for Ordinary Differential Equations

1956 ◽  
Vol 40 (331) ◽  
pp. 69
Author(s):  
H. T. H. Piaggio ◽  
F. J. Murray ◽  
K. S. Miller
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Existence Theorems

scholarly journals Existence Theorems for Ordinary Differential Equations.

1955 ◽  
Vol 62 (9) ◽  
pp. 668
Author(s):  
W. R. Utz ◽  
F. J. Murray ◽  
K. S. Miller
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Existence Theorems

scholarly journals Simulation of several flying situations of paragliders

2021 ◽  
Vol 15 (1) ◽  
pp. 79-89
Author(s):  
Thanh Xuan Nguyen ◽  
Phuong Thi-Thu Phan ◽  
Tien Van Pham
Keyword(s):  
Mathematical Modeling ◽  
Differential Equations ◽  
Modeling And Simulation ◽  
Ordinary Differential Equations ◽  
State Space ◽  
Simulation Modeling ◽  
Time Varying ◽  
Gravity Forces

Paragliding is an adventure and fascinating sport of flying paragliders. Paragliders can be launched by running from a slope or by a winch force from towing vehicles, using gravity forces as the motor for the motion of flying. This motion is governed by the gravity forces as well as time-varying aerodynamic ones which depend on the states of the motion of paraglider at each instant of time. There are few published articles considering mechanical problems of paragliders in their various flying situations. This article represents the mathematical modeling and simulation of several common flying situations of a paraglider through establishing and solving the governing differential equations in state-space. Those flying situations include the ones with constant headwind/tailwind with or without constant upwind; the ones with different scenario for the variations of headwind and tailwind combined with the upwind; the ones with varying pilot mass; and the ones whose several parameters are in the form of interval quantities. The simulations were conducted using a powerful Julia toolkit called DifferentialEquations.jl. The obtained results in each situation are discussed, and some recommendations are presented. Keywords: paraglider; simulation; modeling; state-space; ordinary differential equations; Julia; DifferentialEquations.jl

scholarly journals Modeling and simulation aspects of AC machines

2016 ◽  
Vol 65 (2) ◽  
pp. 315-326 ◽  
Author(s):  
Michael Popp ◽  
Patrick Laza ◽  
Wolfgang Mathis
Keyword(s):  
Complex System ◽  
Differential Equations ◽  
Modeling And Simulation ◽  
Ordinary Differential Equations ◽  
State Space ◽  
Space Representation ◽  
Ac Machines ◽  
State Space Representation ◽  
Drive Systems ◽  
Algebraic Constraints

Abstract In the field of power and drive systems, electrical AC machines are mostly modeled using a set of explicit ordinary differential equations in a state space representation. It is shown, that by using other equation types for simulation, algebraic constraints arising from aggregating several machines to a more complex system can directly be considered. The effects of different model variants on numerical ODE/DAE solvers are investigated in the focus of this work in order perform efficient simulations of larger systems possessing electrical AC machines.

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