Modified State Equations to Represent Changes in RC-Nullor Networks
✍ Scribed by J.A. Svoboda; D.P. Brown
- Book ID
- 103086714
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 775 KB
- Volume
- 317
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
✦ Synopsis
Linear active networks are modeled as RC-Nullor networks. This makes available nodal analysis. The state equations of an RC-Nullor network are related to the node equations. This relationship is used to show how the state equations of an RC-Nullor network should be modified when the network is changed, e.g. by connecting a resistor between two nodes of the network. This is of interest because the network poles can be obtainedfrom the state equations of the network, hence changes can be found in the network poles due to changes in the network.
When N is solvable (13, 14) then the submatrix [G,, G,,] must have full rank. Since the numbering of the first p nodes of N was arbitrary, it can be assumed without loss of generality that G,, is nonsingular. Then doing some elementary row operations yields since V,(s) = -G,, V,(s) + P4U(s)