Worst-case tolerance analysis of linear DC and AC electric circuits

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 49, Issue 12, 2002, Pages 1693-1701

  Kolev, Lubomir ^a  

^a TECHNICAL UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

Interval analysis; Interval methods; Linear equations with dependent elements; Worst case tolerance analysis

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; ITERATIVE METHODS; LINEAR ALGEBRA; LINEAR EQUATIONS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR SYSTEMS; NOTCH FILTERS; OPTIMIZATION; THEOREM PROVING;

INTERVAL METHOD; LINEAR AC ELECTRIC CIRCUIT; LINEAR DC ELECTRIC CIRCUIT; WORST-CASE TOLERANCE ANALYSIS;

LINEAR INTEGRATED CIRCUITS;

EID: 0036961704     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2002.805700     Document Type: Article

References (19)

1. K. Reinschke, Zuferlässichkeit von Systemen, Band 2. Berlin, Germany: Verlag Technik., 1974, ch. 4, pp. 151-191.
2. S. Skelboe, "True worst-case tolerance analysis of linear electric circuits by interval arithmetic," Inst. of Circuit Theory and Telecommunications. Tech. Univ. of Denmark, Lingby, Denmark, Rep. 1T, II, 1977.
3. R. E. More, Interval Analysis. Englewood Cliffs, NG: Prentice-Hall, 1966.
4. ____, Methods and Applications of Interval Analysis. Philadelphia, PA: SIAM, 1979.
5. G. Alefeld and J. Herzberger, Introduction to Interval Computation. New York: Academic, 1983.
6. L. V. Kolev, Interval Methods for Circuit Analysis. Singapore: World Scientific, 1993.
7. ____, "Interval analysis for circuits," in Encyclopedia of Electrical and Electronics Engineering, J. Webster, Ed. Chichester, U.K.: Wiley, 1999, vol. 10, pp. 673-686.
8. S. Skelboe, "True worst-case tolerance analysis of linear electric circuits by interval arithmetic," IEEE Trans. Circuits Syst., vol. CAS-26, pp. 874-879, Oct. 1979.
9. L. V. Kolev, B. M. Mladenov, and S. S. Vladov, "Interval mathematics algorithms for tolerance analysis," IEEE Trans. Circuits Syst., vol. 35, pp. 967-975, Aug. 1988.
10. L. V. Kolev and S. S. Vladov, "Linear circuits tolerance analysis via systems of linear interval equation," in Proc. 6th Int. Symp. Networks, Systems, and Signal Processing, June 28-July 1 1989, pp. 57-61.
11. K. Okumura, "Tolerance analysis of linear electric circuits using interval analysis," in Proc. Int. Conf. Interval Analysis and Applications, Lafayette, IN, Feb.-Mar. 27-2, 1993.
12. W. Tian, X.-T. Ling, and R.-W. Lin, "Novel methods for circuit worst-case tolerance analysis," IEEE Trans. Circuits Syst. I, vol. 43, pp. 272-278, Apr. 1996.
13. M. W. Tian and C.-J. R. Shi, "Worst-case tolerance analysis of linear analog circuits using sensitivity bands," IEEE Trans. Circuits Syst. I, vol. 47, pp. 1138-1145, Aug. 2000.
14. L. Kolev, "A new method for global solution of systems of nonlinear equations," Rel. Comput., vol. 4, pp. 1-21, 1998.
15. ____, "An improved method for global solution of nonlinear systems," Rel. Comput., vol. 5, pp. 103-111, 1999.
16. ____, "Automatic computation of a linear interval enclosure," Rel. Comput., vol. 7, pp. 17-28, 2001.
17. L. Kolev and I. Nenov, "Cheap and tight bounds on the solution set of perturbed systems," Rel. Comput., vol. 7, pp. 399-408, 2001.
18. S. Ning and R. Kearfort, "Comparison of some methods for solving linear interval equations," SIAM J. Numer. Anal., vol. 34, pp. 1289-1305, 1997.
19. L. Kolev, "Outer solution of linear systems whose elements are affine functions of interval parameters," Rel. Comput., to be published.