The stability of linear periodic Hamiltonian systems on time scales
Applied Mathematics Letters, ISSN: 0893-9659, Vol: 26, Issue: 3, Page: 330-336
2013
- 10Citations
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Article Description
In this work, we give a new stability criterion for planar periodic Hamiltonian systems, improving the results from the literature. The method is based on an application of the Floquet theory recently established in [J.J. DaCunha, J.M. Davis, A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems, J. Differential Equations 251 (2011) 2987–3027], and the use of a new definition for a generalized zero. The results obtained not only unify the related continuous and discrete ones but also provide sharper stability criteria for the discrete case.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S089396591200417X; http://dx.doi.org/10.1016/j.aml.2012.09.014; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84869496384&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S089396591200417X; https://api.elsevier.com/content/article/PII:S089396591200417X?httpAccept=text/plain; https://api.elsevier.com/content/article/PII:S089396591200417X?httpAccept=text/xml
Elsevier BV
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