State-equation formulation for multiport networks

Explicit formulas are obtained for the state equations of a network in terms of those of its (linear or nonlinear) multiport components and the network graph. Increased generality and simplicity is obtained through the use of the scattering formalism. This allows the inclusion of most nonpathological components without the impedance-admittance hybridization that greatly complicates the common RLC formulations. In both the linear and nonlinear cases a simple test for the existence of state equations is obtained in terms of the properties of a linear memoryless "subnetwork."