The Poincare theorem in linear circuit synthesis
Maciej Siwczyński, Marcin Jaraczewski · 2007
Abstract. The paper deals with linear circuits synthesis with periodic parameters. It was proved that the time-varying voltages and currents of inner branches of such circuits can be calculated using linear recursive equations with periodic coefficients if signals on port are given. The stability theorem of periodic solution was formulated. Hereby described the synthesis problems appear when compensation of power supply systems is considered. Key words: periodically time-varying networks, synthesis, optimization, stability. 1.