Fall 2007
ENSC 895/ENSC 460: SPECIAL TOPICS: THEORY, ANALYSIS, AND SIMULATION OF NONLINEAR CIRCUITS

Assignment #6:

  • Start designing your project web page. Use simple HTML code. See, for example, the ENSC 895 course web pages.

  • Read:
    R. J. Duffun, "Nonlinear Networks, IIa," Bulletin of the American Mathematical Society, vol. 53, pp. 963-971, Oct. 1947.
    A. N. Willson, Jr., ``A useful generalization of the Po matrix concept,'' Numerical Mathematics, vol. 17, pp. 62-70, 1971.

  • For matrix A given in the handout no. 6:
        find x in E^3 so that Ax = 0.
        find x in E^3 so that A^Tx = 0.

  • If A is a positive semi-definite symmetric matrix, is the matrix DA positive semi-definite, where D is an arbitrary diagonal matrix having positive elements on the main diagonal? Why?

  • Using the simple transistor model, write DC equations for the circuit given in the handout no 6. Is the matrix T^{-1}G a P_0 matrix for all values of transistor current gains and all positive values of resistors R1, R2, R3, and R4? Why?

    Posted: October 18, 2007
    Due: October 28, 2007.

    Last modified: Thursday October 18 23:02:07 PDT 2007.