Algebraic representation of error bounds for describing function using groebner base

Proceedings - IEEE International Symposium on Circuits and Systems

Volumn , Issue , 2005, Pages 2831-2834

  Yagi, Masakazu ^a   Hisakado, Takashi ^a   Okumura, Kohshi ^b  

^a KYOTO UNIVERSITY   (Japan)

^b HIROSHIMA INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC APPROACHES; ALGEBRAIC REPRESENTATIONS; DESCRIBING FUNCTION METHODS; EFFICIENT METHOD; ERROR BOUND; GROEBNER BASE; PARAMETER VALUES; PERIODIC SOLUTION;

NONLINEAR SYSTEMS;

ALGEBRA;

EID: 42949089052     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISCAS.2005.1465216     Document Type: Conference Paper

References (6)

1. A. R. Bergen and R. L. Franks, "Justification of the describing function method," SIAM J. Contr. Optimiz., vol.9, pp.568-569, Nov.1971.
2. A. I. Mees and A. P. Bergen, "Describing functions revisited," IEEE Trans. Automat. Contr., vol.AC-20, pp.473-478, Aug. 1975.
3. Frederic L. Swern, "Analysis of Oscillations in Systems with Polynomial-Type Nonlinearities Using Describing Functions," IEEE Trans. Automat. Contr., vol.AC-28, no.1, 1983.
4. D. Cox J.Little and D. O'shea, "Ideals, Varieties, and Algorithms," Springer-Verlag New York, 1992.
5. K. Okumura and H. Morino, "Application of Groebner Bases to Analysis of Translinear Circuits," Proc. NDES, pp.209-212, 1999.
6. T. Hisakado and K. Okumura, "Mode Decomposition of Global Bifurcation Diagram with Groebner Bases," Physics Letters A, Vol.292, pp.263-268, 2002.