Sensitivity analysis for the Floquet multipliers

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 effective sensitivity analysis of stability characteristics is therefore needed. In this paper we present analytical first and second order sensitivities of the Floquet matrix and its eigenvalues (multipliers).