DocumentCode :
1184536
Title :
The semistate description of nonlinear time-variable circuits
Author :
Newcomb, Robert W.
Volume :
28
Issue :
1
fYear :
1981
fDate :
1/1/1981 12:00:00 AM
Firstpage :
62
Lastpage :
71
Abstract :
It is shown that, by the possible use of circuit equivalences, circuits satisfying rather light assumptions possess the semistate description {cal Q} \\dot{x} + cal B(x, t)= cal D u y ={cal F} x where u = input, y = output, x = semistate, and {cal Q}, {cal D} ,{cal F} are constant operators. The semistate can be chosen as tree branch voltages and link branch currents; a determination of consistent initial semistates is given which stems from a forward stepping solution equation. An appropriate reduction with attendant signal-flow graph for design is obtained in the linear time-invariant case.
Keywords :
Nonlinear circuits, time-varying; Nonlinear networks, time-varying; Admittance; Circuit analysis; Gyrators; History; Nonlinear circuits; Nonlinear equations; Signal design; Tree graphs; Voltage; Writing;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1981.1084908
Filename :
1084908
Link To Document :
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