Comparison of different strategies of circuit optimization based on the Lyapunov function

Authors

DOI:

https://doi.org/10.3103/S0735272711070065

Keywords:

Lyapunov function, optimization procedure, electronic circuit, mathematical model, control function

Abstract

The design methodology for analog circuits developed earlier on the basis of using the control theory makes it possible to apply important concepts and results of the specified theory. Lyapunov function defined for the electronic circuit optimization process proved to be a characteristic allowing us to compare different optimization strategies. In this case the behavior of special function representing the logarithm of the Lyapunov function correlates well with the total processor time of circuit optimization and allows us to select the best optimization strategies in terms of the minimum processor time.

References

V. Rizzoli, A. Costanzo, and C. Cecchetti, “Numerical optimization of broadband nonlinear microwave circuits,” IEEE MTT-S Int. Microwave Symp. Dig. 1, 335 (1990).

E. S. Ochotta, R. A. Rutenbar, and L. R. Carley, “Synthesis of High-Performance Analog Circuits in ASTRX/OBLX,” IEEE Trans. CAD Integr. Circuits Syst. 15, No. 3, 273 (1996).

I. S. Kashirskii and Ya. K. Trokhimenko, Generalized Optimization of Electronic Circuits (Tekhnika, Kiev, 1979) [in Russian].

A. M. Zemliak, “Design of Analog Networks by the Control Theory Methods. Part 1: The Theory,” Radioelectron. Commun. Syst. v.47, n.5, p.14 (2004).

A. M. Zemliak, “Analog System Design as a Controlled Dynamic Process,” Nelineinyi Mir, No. 11, 609 (2006).

A. M. Zemliak, “Analysis of dynamic characteristics of process of designing analogue circuits,” Radioelectron. Commun. Syst., v.50, n.11, p.603, 2007. DOI: http://dx.doi.org/10.3103/S0735272707110039.

A. M. Zemliak, “Comparative analysis of the Lyapunov function for different strategies of analogue circuits design,” Radioelectron. Commun. Syst., v.51, n.5, p.233, 2008. DOI: http://dx.doi.org/10.3103/S0735272708050014.

G. Massobrio and P. Antognetti, Semiconductor Device Modeling with SPICE (McGraw-Hill, New York, 1993).

Published

2011-07-01

Issue

Section

Research Articles