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SETS OF LINEAR ALGEBRAIC EQUATIONS
NETWORK PARAMETERS AND MATRICES
LINEAR GRAPH THEORY III
9 other sections not shown
admittance appears in Fig Assume branch currents branch voltages capacitive capacitor capacitor voltages Cauchy-Riemann conditions coefficient cofactor column complex Consider constant constraints contains Cramer's rule current source cut set cut-set matrices defined derivative determinant differential equation discussion driving-point impedance elements equilibrium equations equivalent circuit evaluate Example excitation expression farad form of Eq Fourier series Fourier transform free response given network inductive inductor initial conditions input integral inverse Laplace limit Laplace transform linear system loop currents matrix form natural frequencies network in Fig node Note obtain ohms output voltage parameters partial-fraction expansion plot poles procedure pulse ratio resistor result roots sensitivity shown in Fig side of Eq solution solve steady-state summation supernode Taylor series terminals 1-1 theorem theory topological transfer function tree branch unit step vanish voltage source voltage variables volts write yields zero