Stability of deformable gyrostats based on Sturm's theorem

Autor:	Pierre Y. Willems, David Johnson, Guy Campion
Rok vydání:	1973
Předmět:	Spacecraft Linear differential equation business.industry Simple (abstract algebra) Mathematical analysis Dissipative system Aerospace Engineering Motion (geometry) Function (mathematics) business Sturm's theorem Stability (probability) Mathematics
Zdroj:	AIAA Journal. 11:1093-1096
ISSN:	1533-385X 0001-1452
Popis:	It is shown how Sturm's theorem, which provides stability criteria for linear differential equations with complex coefficients, may be used to determine the stability of a class of deformable spacecraft which includes symmetrical dual- and triple-spin satellites with flexible dissipative bearings. For dual-spin satellites, the results are equivalent to those obtained by a Liapunov analysis using a Hamiltonian-like testing function and integrals of motion. For triple-spin satellites, the results are also equivalent to those resulting from a Liapunov analysis in the particular cases where a suitable testing function can be obtained, and, in the general case, the method provides a complete set of stability criteria, which, with appropriate hypotheses, yields a simple closed-form stability condition.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7e414da24dcd1c068a248564d4043757 https://doi.org/10.2514/3.6880 Zobrazit plný text záznamu