BULLETIN of the

POLISH ACADEMY of SCIENCES

TECHNICAL SCIENCES

BULLETIN of the POLISH ACADEMY of SCIENCES: TECHNICAL SCIENCES
Volume 55, Issue 1, March 2007

Analysis of Dynamic Systems and Mechanical Engineering

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pp 49 - 58

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The Poincaré theorem in linear circuit synthesis

M. SIWCZYNSKI and M. JARACZEWSKI
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


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