STATE MODELS OF ACTIVE RLC NETWORKS,
ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB
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In active RLC networks in which dependent sources are controlled by passive elements, the existence of a tree which contains all voltage sources as branches and all current sources as chords is only a necessary condition for a unique solution. Unlike the passive case, the order of state vector depends not only on the topology of the network but also on the controlling coefficients of the dependent sources in the network. Furthermore, in passive case if state variables are the currents of inductors and voltages of capacitors, at most the first derivative of the input vector u may appear in the state model but in active case the nth derivative may appear, where n is the number of reactive elements in the network.