Book Review
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MathSciNet review:
1568022
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Book Information:
Author:
C. A. Marinov and P. Neittaanmaki
Title:
Mathematical models in electrical circuitsrm: theory and applications
Additional book information:
Kluwer Academic Publs., Dordrecht, 1991, 160 pp., $66.50. ISBN 0-7923-1155-8.
R. K. Brayton and W. L. Miranker, A stability theory for nonlinear mixed initial boundary value problems, Arch. Rational Mech. Anal. 17 (1964), 358–376. MR 168864, DOI 10.1007/BF00250472
[2] P. K. Chan and K. Karplus, Computing signal delay in general RC networks by tree/link partitioning, IEEE Trans. Comput. Aided Design 9 (1990), 898-902.
[3] P. K. Chan and M. D. F. Schlag, Bounds on signal delay in RC mesh networks, IEEE Trans. Comput. Aided Design 8 (1989), 581-589.
Leon O. Chua and Douglas N. Green, A qualitative analysis of the behavior of dynamic nonlinear networks: stability of autonomous networks, IEEE Trans. Circuits and Systems CAS-2 (1976), no. 6, 355–379. MR 689400, DOI 10.1109/TCS.1976.1084228
Leon O. Chua and Douglas N. Green, A qualitative analysis of the behavior of dynamic nonlinear networks: steady-state solutions of nonautonomous networks, IEEE Trans. Circuits and Systems CAS-2 (1976), no. 9, 530–550. MR 465544, DOI 10.1109/TCS.1976.1084258
[6] C. A. Desoer and J. Katznelson, Nonlinear RLC networks, Bell Syst. Tech. J. 44 (1965), 161-198.
Vaclav Dolezal, Nonlinear networks, Elsevier Scientific Publishing Co., Amsterdam-New York-Oxford, 1977. MR 0490486
Vaclav Dolezal, Monotone operators and applications in control and network theory, Studies in Automation and Control, vol. 2, Elsevier Scientific Publishing Co., Amsterdam-New York, 1979. MR 554232
Toshio Fujisawa and Ernest S. Kuh, Some results on existence and uniqueness of solutions of nonlinear networks, IEEE Trans. Circuit Theory CT-18 (1971), 501–506. MR 300433
David S. Gao, Andrew T. Yang, and Sung Mo Kang, Modeling and simulation of interconnection delays and crosstalks in high-speed integrated circuits, IEEE Trans. Circuits and Systems 37 (1990), no. 1, 1–9. MR 1032402, DOI 10.1109/31.45685
[11] M. S. Ghausi and J. J. Kelly, Introduction to distributed parameter networks, Holt, Rinehart, and Winston, New York, 1968.
[12] R. O. Grondin, W. Porod, and D. K. Ferry, Delay time and signal propagation in large-scale integrated circuits, IEEE J. Solid-State Circuits 19 (1984), 262-263.
M. Glez Harbour and J. M. Drake, Calculation of signal delay in integrated interconnections, IEEE Trans. Circuits and Systems 36 (1989), no. 2, 272–276. MR 979859, DOI 10.1109/31.20204
[14] T. M. Lin and C. A. Mead, Signal delay in general RC networks, IEEE Trans. Comput. Aided Design 3 (1984), 331-349.
[15] J. K. Ousterhout, A switch-level timing verifier for digital MOS VLSI, IEEE Trans. Comput. Aided Design 4 (1985), 336-349.
[16] M. Passlack, M. Uhle, and H. Elschner, Analysis of propagation delays in high-speed VLSI circuits using a distributed line model, IEEE Trans. Comput. Aided Design 9 (1990), 821-826.
[17] L. T. Pillage and R. A. Rohrer, Asymptotic waveform evaluation for timing analysis, IEEE Trans. Comput. Aided Design 9 (1990), 352-366.
[18] J. Rubinstein, P. Penfield, Jr., and M. A. Horowitz, Signal delay in RC tree networks, IEEE Trans. Comput. Aided Design 2 (1983), 202-211.
[19] T. Sakarai, Approximation of wiring delay in MOSFET LSI, IEEE J. Solid-State Circuits 18 (1983), 418-426.
I. W. Sandberg, Some theorems on the dynamic response of nonlinear transistor networks, Bell System Tech. J. 48 (1969), 35–54. MR 238584, DOI 10.1002/j.1538-7305.1969.tb01105.x
I. W. Sandberg, Theorems on the analysis of nonlinear transistor networks, Bell System Tech. J. 49 (1970), 95–114. MR 260484, DOI 10.1002/j.1538-7305.1970.tb01758.x
A. N. Willson Jr., On the solutions of equations for nonlinear resistive networks, Bell System Tech. J. 47 (1968), 1755–1773. MR 266689, DOI 10.1002/j.1538-7305.1968.tb00101.x
Alan N. Willson Jr., New theorems on the equations of nonlinear $\textrm {DC}$ transistor networks, Bell System Tech. J. 49 (1970), 1713–1738. MR 267977, DOI 10.1002/j.1538-7305.1970.tb04287.x
[24] J. L. Wyatt, Jr., Monotone sensitivity of nonlinear RC transmission lines with application to timing analysis of digital MOS integrated circuits, IEEE Trans. Circuits and Systems 32 (1985), 28-33.
[25] Q. Yu and O. Wing, Waveform bounds on nonlinear RC trees, Proc. 1984 Internat. Sympos. on Circuits and Systems, Montreal, 1984.
Armen H. Zemanian, Infinite electrical networks, Cambridge Tracts in Mathematics, vol. 101, Cambridge University Press, Cambridge, 1991. MR 1144278, DOI 10.1017/CBO9780511895432
[27] C. A. Zukowski, The bounding approach to VLSI circuit simulation, Kluwer Academic Press, Dordrecht, 1986.
[28] J. M. Zurada and T. Liu, Equivalent dominant pole approximation of capacitively loaded VLSI interconnection, IEEE Trans. Circuits and Systems 34 (1987), 205-207.
- [1]
- R. K. Brayton and W. L. Miranker, A stability theory for nonlinear mixed initial boundary value problems, Arch. Rational Mech. Anal. 17 (1964), 358-376. MR 0168864 (29:6120)
- [2]
- P. K. Chan and K. Karplus, Computing signal delay in general RC networks by tree/link partitioning, IEEE Trans. Comput. Aided Design 9 (1990), 898-902.
- [3]
- P. K. Chan and M. D. F. Schlag, Bounds on signal delay in RC mesh networks, IEEE Trans. Comput. Aided Design 8 (1989), 581-589.
- [4]
- L. O. Chua and D. N. Green, A qualitative analysis of the behavior of dynamic nonlinear networks--stability of autonomous networks, IEEE Trans. Circuits and Systems 23 (1976), 355-379. MR 0689400 (58:33540)
- [5]
- -, A qualitative analysis of the behavior of dynamic nonlinear networks: steady-state solutions of nonautonomous networks, IEEE Trans. Circuits and Systems 23 (1976), 530-550. MR 0465544 (57:5442)
- [6]
- C. A. Desoer and J. Katznelson, Nonlinear RLC networks, Bell Syst. Tech. J. 44 (1965), 161-198.
- [7]
- V. Dolezal, Nonlinear networks, Elsevier Sci. Publ. Co., New York, 1977. MR 0490486 (58:9831)
- [8]
- -, Monotone operators and applications in control and network theory, Elsevier Sci. Publ. Co., New York, 1979. MR 554232 (82e:93050)
- [9]
- T. Fujisawa and E. S. Kuh, Some results on existence and uniqueness of solutions of nonlinear networks, IEEE Trans. Circuit Theory 18 (1971), 389-394. MR 0300433 (45:9479)
- [10]
- D. S. Gao, A. T. Yang, and S. M. Kang, Modelling and simulation of interconnection delays and crosstalks in high-speed integrated circuits, IEEE Trans. Circuits and Systems 37 (1990), 1-9. MR 1032402
- [11]
- M. S. Ghausi and J. J. Kelly, Introduction to distributed parameter networks, Holt, Rinehart, and Winston, New York, 1968.
- [12]
- R. O. Grondin, W. Porod, and D. K. Ferry, Delay time and signal propagation in large-scale integrated circuits, IEEE J. Solid-State Circuits 19 (1984), 262-263.
- [13]
- M. G. Harbour and J. M. Drake, Calculation of signal delay in integrated interconnections, IEEE Trans. Circuits and Systems 36 (1989), 272-276. MR 979859 (89k:94086)
- [14]
- T. M. Lin and C. A. Mead, Signal delay in general RC networks, IEEE Trans. Comput. Aided Design 3 (1984), 331-349.
- [15]
- J. K. Ousterhout, A switch-level timing verifier for digital MOS VLSI, IEEE Trans. Comput. Aided Design 4 (1985), 336-349.
- [16]
- M. Passlack, M. Uhle, and H. Elschner, Analysis of propagation delays in high-speed VLSI circuits using a distributed line model, IEEE Trans. Comput. Aided Design 9 (1990), 821-826.
- [17]
- L. T. Pillage and R. A. Rohrer, Asymptotic waveform evaluation for timing analysis, IEEE Trans. Comput. Aided Design 9 (1990), 352-366.
- [18]
- J. Rubinstein, P. Penfield, Jr., and M. A. Horowitz, Signal delay in RC tree networks, IEEE Trans. Comput. Aided Design 2 (1983), 202-211.
- [19]
- T. Sakarai, Approximation of wiring delay in MOSFET LSI, IEEE J. Solid-State Circuits 18 (1983), 418-426.
- [20]
- I. W. Sandberg, Some theorems on the dynamic response of transistor networks, Bell Syst. Tech. J. 48 (1969), 35-54. MR 0238584 (38:6860)
- [21]
- -, Theorems on the analysis of nonlinear transistor networks, Bell Syst. Tech. J. 49 (1970), 95-114. MR 0260484 (41:5110)
- [22]
- A. N. Willson, Jr.,, On the solution of equations for nonlinear resistive networks, Bell Syst. Tech. J. 47 (1968), 1755-1773. MR 0266689 (42:1592)
- [23]
- -, New theorems on the equations of nonlinear dc transistor networks, Bell Syst. Tech. J. 49 (1970), 1713-1738. MR 0267977 (42:2877)
- [24]
- J. L. Wyatt, Jr., Monotone sensitivity of nonlinear RC transmission lines with application to timing analysis of digital MOS integrated circuits, IEEE Trans. Circuits and Systems 32 (1985), 28-33.
- [25]
- Q. Yu and O. Wing, Waveform bounds on nonlinear RC trees, Proc. 1984 Internat. Sympos. on Circuits and Systems, Montreal, 1984.
- [26]
- A. H. Zemanian, Infinite electrical networks, Cambridge Univ. Press, New York, 1991. MR 1144278 (93b:94034)
- [27]
- C. A. Zukowski, The bounding approach to VLSI circuit simulation, Kluwer Academic Press, Dordrecht, 1986.
- [28]
- J. M. Zurada and T. Liu, Equivalent dominant pole approximation of capacitively loaded VLSI interconnection, IEEE Trans. Circuits and Systems 34 (1987), 205-207.
Review Information:
Reviewer:
A. H. Zemanian
Journal:
Bull. Amer. Math. Soc.
28 (1993), 194-198
DOI:
https://doi.org/10.1090/S0273-0979-1993-00354-9