Stability of limit cycles in a longitudinal flight of an UAV

Autor:	Ana-Maria Bordei, Andrei Halanay
Rok vydání:	2018
Předmět:	Lyapunov function Equilibrium point Hopf bifurcation symbols.namesake Mathematical analysis symbols Limit (mathematics) Delay differential equation Constant (mathematics) Stability (probability) Mathematics
Zdroj:	AIP Conference Proceedings.
ISSN:	0094-243X
DOI:	10.1063/1.5081531
Popis:	We study the stability of limit cycles that appear due to a constant delay introduced in the control of an unmanned vehicle. Stability switches of the equilibrium point shows the existence of a Hopf bifurcation. For the delay differential equations with constant delay, we establish the formulae required to calculate the Lyapunov coefficient and determine an approximation of the solution. Numerical simulations are used to illustrate the results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::aa8f9114c132147c0f5a81ede2756261 https://doi.org/10.1063/1.5081531 Zobrazit plný text záznamu