a271e248-f651-4ec1-9d86-add9a254b56520220126044614632wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON COMPUTERS2224-28721109-275010.37394/23205http://wseas.org/wseas/cms.action?id=40261520221520222110.37394/23205.2022.21https://wseas.com/journals/computers/2022.phpGeneralized Methodology Application for System DesignAlexanderZemliakDepartment of Physics and Mathematics Autonomous University of Puebla Av. San Claudio y 18 Sur, Puebla, 72570 MEXICOThe design process for analogue circuit design is formulated on the basis of the optimum control theory. The artificially introduced special control vector is defined for the redistribution of computational costs between network analysis and parametric optimization. This redistribution minimizes computer time. The problem of the minimal-time network design can be formulated in this case as a classical problem of the optimal control for some functional minimization. There is a principal difference between the new approach and before elaborated methodology. This difference is based on a higher level of the problem generalization. In this case the structural basis of design strategies is more complete and this circumstance gives possibility to obtain a great value of computer time gain. Numerical results demonstrate the effectiveness and prospects of a more generalized approach to circuit optimization. This approach generalizes the design process and generates an infinite number of the different design strategies that will serve as the structural basis for the minimal time algorithm construction. This paper is advocated to electronic systems built with transistors. The main equations for the system design process were elaborated.13202213202210172https://wseas.com/journals/computers/2022/a045105-002(2022).pdf10.37394/23205.2022.21.2https://wseas.com/journals/computers/2022/a045105-002(2022).pdfJ.R. Bunch, and D.J. Rose, (Eds.), Sparse Matrix Computations, New York: Acad. Press, 1976. O. Osterby, and Z. Zlatev, Direct Methods for Sparse Matrices, New York: Springer-Verlag, 1983. 10.1109/tcs.1976.1084166F.F. Wu, Solution of Large-Scale Networks by Tearing, IEEE Trans. Circuits Syst., Vol. CAS23, No. 12, pp. 706-713, 1976. 10.1109/tcs.1977.1084298A. Sangiovanni-Vincentelli, L.K. Chen, and L.O. Chua, An Efficient Cluster Algorithm for Tearing Large-Scale Networks, IEEE Trans. Circ. Syst.,Vol. 24, No. 12, pp. 709-717, 1977. N. Rabat, A.E. Ruehli, G.W. Mahoney, and J.J. Coleman, A Survey of Macromodeling, Proc. of the IEEE Int. Symp. C&S, 1985, pp.139-143. 10.1109/proc.1983.12525A.E. Ruehli, and G. Ditlow, Circuit Analysis, Logic Simulation and Design Verification for VLSI, Proc. IEEE, Vol. 71, No. 1, pp. 36-68, 1983. R. Fletcher, Practical Methods of Optimization, New York: John Wiley and Sons, Vol. 1, 1980, vol. 2, 1981. 10.1109/proc.1981.12170R.K. Brayton, G.D. Hachtel, and A.L. Sangiovanni-Vincentelli, A survey of optimization techniques for integrated-circuit design, Proc. IEEE, Vol. 69, pp. 1334-1362, 1981. R.E. Massara, Optimization Methods in Electronic Circuit Design, Harlow: Longman Scientific & Technical, 1991. A.I. Petrenko, The Complexity and Adaptation of the Modern Design Automation Systems, Izvestiya VUZ Radioelectronics, Vol. 31, No. 6, pp. 27-31, 1988. I. P. Norenkov, The Structure Development of the Design Automation Systems, Izvestiya VUZ Radioelectronics, Vol. 32, No. 6, pp. 25-29, 1989. I.S. Kashirsky, and I.K. Trokhimenko, The Generalized Optimization of Electronic Circuits, Kiev: Tekhnika, 1979. 10.1109/mwsym.1990.99588V. Rizzoli, A. Costanzo, and C. Cecchetti, Numerical optimization of broadband nonlinear microwave circuits, IEEE MTT-S Int. Symp., Vol. 1, 1990, pp. 335-338. 10.1109/43.489099E. S. Ochotta, R. A. Rutenbar and L. R. Carley, Synthesis of High-Performance Analog Circuits in ASTRX/OBLX, IEEE Trans. on CAD, Vol. 15, No. 3, pp. 273-294, 1996. A.M. Zemliak, Design of Analog Networks by Control Theory Methods, Part 1, Theory, Radioelectronics and Communications Systems, Vol. 47, No. 5, pp. 11-17, 2004. 10.1080/00207217.2014.936046A. Zemliak, and T. Markina, Behaviour of LyapunovÂ´s function for different strategies of circuit optimization, International Journal of Electronics, Vol. 102, No. 4, pp. 619-634, 2015. R. Pytlak, Numerical Methods for Optimal Control Problems with State Constraints, Springer-Verlag, Berlin, 1999. R.P. Fedorenko, Approximate Solution of Optimal Control Problems, Nauka, Moscow, 1978. V.F. Krotov, Global Methods for Optimal Control Theory, Marcel Dekker, N. Y., 1996 G. Massobrio, and P. Antognetti, Semiconductor Device Modeling with SPICE, McGraw-Hill Inc., N.Y., 1993.