Operational matrices for the analysis of periodic dynamic systems

This letter presents a methodology for the study of periodical dynamic systems. The method is based on the use of orthogonal series expansions and their operational properties. As opposed to the conventional use of the series expansions, in this work it is considered that the expansion coefficients may slowly vary with time. This salient feature allows for traditional steady-state methods such the harmonic domain to be used in dynamical systems. An important use of the method is the analysis of switched networks. The use of the method is illustrated with simple but of practical value systems.