A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems

@article{Dacunha2009AUF,
  title={A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems},
  author={Jeffrey J. Dacunha and John M. Davis},
  journal={Journal of Differential Equations},
  year={2009},
  volume={251},
  pages={2987-3027}
}
  • Jeffrey J. Dacunha, John M. Davis
  • Published 2009
  • Mathematics
  • Journal of Differential Equations
  • Abstract In this paper, we study periodic linear systems on periodic time scales which include not only discrete and continuous dynamical systems but also systems with a mixture of discrete and continuous parts (e.g. hybrid dynamical systems). We develop a comprehensive Floquet theory including Lyapunov transformations and their various stability preserving properties, a unified Floquet theorem which establishes a canonical Floquet decomposition on time scales in terms of the generalized… CONTINUE READING

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