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Stability analysis for multi-parameter linear periodic systems

โœ Scribed by A. P. Seyranian; F. Solem; P. Pedersen


Publisher
Springer
Year
1999
Tongue
English
Weight
460 KB
Volume
69
Category
Article
ISSN
0939-1533

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๐Ÿ“œ SIMILAR VOLUMES


MULTI-PARAMETER LINEAR PERIODIC SYSTEMS:
โœ ALEXANDER P. SEYRANIAN; FREDERIK SOLEM; PAULI PEDERSEN ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 277 KB

For stability analysis of linear periodic systems with more than one degree of freedom, the Floquet method is a general and valuable, practical method. In multi-parameter periodic systems, repeated numerical integration to obtain the Floquet matrix may be a limiting factor, and e!ective sensitivity

Stability of linear periodic systems
โœ Paul M. Lion ๐Ÿ“‚ Article ๐Ÿ“… 1966 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 928 KB

A method for calculating the solution, in Floquet form, to a system of linear di$erential equations with periodic parameters is developed. As a result, both the periodic and exponential parts of the solution are developed as power series in a small parameter, E. From this solution, approximate expre