Name
Title | ||
|---|---|---|
Algebraic representation of error bounds for describing function using Groebner base [nonlinear circuit analysis example] |
Abstract | ||
|---|---|---|
This paper presents an algebraic approach to find the region where the true periodic solution of a nonlinear system or circuit lies when a describing function solution is given. Because algebraic representations of the error bounds are obtained by the Groebner base, the dependence of the bounds on parameter values becomes clear. Further, we propose an efficient method to improve the estimation. The Groebner base is shown to be applicable to the describing function method. The estimation is modified considerably. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1109/ISCAS.2005.1465216 | ISCAS (3) |
Keywords | Field | DocType |
describing functions,error analysis,nonlinear control systems,nonlinear network analysis,time-varying networks,Groebner base,algebraic error estimation method,describing function method,error bounds algebraic representation,nonlinear control systems,nonlinear system periodic solution,parameter value bound dependence,periodic phenomena analysis | Describing function,Nonlinear system,Nonlinear circuit analysis,Algebraic number,Intelligent decision support system,Control theory,Electronic circuit,Periodic graph (geometry),Mathematics,Algebra representation | Conference |
ISSN | ISBN | Citations |
0271-4302 | 0-7803-8834-8 | 3 |
PageRank | References | Authors |
0.58 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yagi, Masakazu | 1 | 23 | 6.51 |
| Takashi Hisakado | 2 | 8 | 4.87 |
| Kohshi Okumura | 3 | 16 | 5.43 |