Canonic and State-variable Characterization of Networks with Variable ElementsCornell University, System Theory Group, Electrical Engineering, 1970 - Electric networks - 32 pages |
Contents
INTRODUCTION | 1 |
EQUIVALENT CIRCUITS AND GRAPH CONSIDERATIONS | 5 |
IIl FIRST CANONIC FORM | 8 |
4 other sections not shown
Common terms and phrases
active sense addition admittance algebraic equations allowable analysis appear artificial assume basis branch capacitors carried characterization Circuit of Figure column vector consider consistent constant matrix constraints controlled sources convenient corresponding cut-set matrices define dependence derivatives differential equations eliminated Equation 4.4 equilibrium equation equivalent circuits example exists explicit function fact first-order differential equations fixed follows Forin formulation function G further given given network graph hence ILLUSTRATIONS independent introduced involve linear matrix mixed algebraic network elements network voltages networks with elements nonlinear normal tree Note obtain operation parameter transimpedances parameter variations particular partitioned possible present previously developed problem procedure Proof properties rank reference require resistors resulting riable satisfies satisfies Equation Second Canonic Form shown side similar situations solutions state-variable step substitution Suppose Table techniques Theorem tion transimpedance unique solutions utilization variable parameters vector voltages and currents