A method for stability investigation of a periodic dynamic system with many degrees of freedom

Autor:	Pierre Y. Willems, Yoshikazu Nishikawa
Rok vydání:	1969
Předmět:	Floquet theory Elliptic orbit Computer Networks and Communications Applied Mathematics Degrees of freedom Mathematical analysis Type (model theory) Stability (probability) Set (abstract data type) Classical mechanics Control and Systems Engineering Signal Processing Satellite Spinning Mathematics
Zdroj:	Journal of the Franklin Institute. 287:143-157
ISSN:	0016-0032
Popis:	A method for examining the stability of a linear periodic dynamic system with many degrees of freedom is discussed, i.e. a system governed by a set of n-coupled Hill's equations. It is assumed that the periodic terms contain a small parameter e. The method applies the idea of the perturbation method to determination of the characteristics exponents of Floquet's type solutions. An example is shown for the stability test of a spinning satellite in an elliptic orbit. The discussion is confined only to linear homogeneous systems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c70fa6aeab6e955b13d78914869cffe2 https://doi.org/10.1016/0016-0032(69)90122-7 Zobrazit plný text záznamu