# 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} }

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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