MULTI-PARAMETER LINEAR PERIODIC SYSTEMS: SENSITIVITY ANALYSIS AND APPLICATIONS

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. Analytical first and second order sensitivities of the Floquet matrix and its eigenvalues (multipliers) are presented in this paper. Some numerical applications are given. These include effective stabilization by proper change of parameters and optimal design with constraints on stability requirements.