Active voltage shaping of an RC circuit yields time-scaled exponential charge and discharge, and a linear voltage ramp minimizes Joule dissipation for finite charging time.
Liberzon ,\ @noop title Calculus of Variations and Optimal Control Theory : A Concise Introduction \ ( publisher Princeton University Press ,\ year 2012 ) NoStop
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Active charge and discharge of a capacitor: scaling solution and energy optimization
Active voltage shaping of an RC circuit yields time-scaled exponential charge and discharge, and a linear voltage ramp minimizes Joule dissipation for finite charging time.