The semistate description of nonlinear time-variable circuits

摘要: It is shown that, by the possible use of circuit equivalences, circuits satisfying rather light assumptions possess semistate description {\cal Q} \dot{x} + \cal B(x, t)= D u y ={\cal F} x where = input, output, semistate, and Q}, D} ,{\cal are constant operators. The can be chosen as tree branch voltages link currents; a determination consistent initial semistates given which stems from forward stepping solution equation. An appropriate reduction with attendant signal-flow graph for design obtained in linear time-invariant case.