Abstract: One of the principal problems for designing of large electronic circuit is the problem of significant reducing of processor time for parametric circuit optimization. The solution of this problem can be obtained by means of a generalized approach to the process of optimization of electronic circuits. The generalized methodology of circuit optimization can be constructed on the basis of theory of control. In this case a special vector of control serves as a principal tool to redistributing the computer expenses between circuit analysis and the procedure of parametric optimization. The optimization of analog circuit is formulated in this case as a controllable dynamic system. The optimal structure of the vector of control gives the minimal-time algorithm of circuit optimization. The optimal sequence of switching points of the vector of control solves the problem of minimal-time algorithm construction. The conception of the Lyapunov function of the process of optimization serves as one of the productive ideas to study the main properties of the time-optimal algorithm. Stability analysis of each strategy of designing based on Lyapunov's direct method revealed a strong correlation between the time of designing and the main indicators of the design process, namely the Lyapunov function and its time derivative. This function gives us the possibility to separate the perspective strategies for the optimization of circuits. Analysis of behavior of the Lyapunov function during the optimization process shows a strong correlation between some characteristics of this function and a processor time. The strategies that have the greatest absolute value of the time derivative of Lyapunov function on the initial phase of the trajectory of optimization exhibit the greatest stability and have the least CPU time. This property is the basis for the constructing a minimal-time algorithm of designing. This algorithm provides gain of processor time in hundreds and thousands times as compared to the traditional approach.

Brief Biography of the Speaker:
Alexander Zemliak received the M.S. degree in electronic engineering from the Kiev Polytechnic Institute (KPI), Kiev, Ukraine, in 1972 and in mathematics from the Kiev University in 1975, and Ph.D. in electronic engineering from KPI in 1976. He is currently a Professor of Physics and Mathematics Department, Autonomous University of Puebla, and a Professor of the National Technical University of Ukraine “KPI” too. His research interests are in computer-aided RF and microwave circuit analysis, optimal design methodologies, computational electromagnetics and numerical techniques in the simulation, analysis and optimization of microwave devices. He has authored of two books, 7 chapters of books and over 250 papers in refereed journals and conference proceedings. From 1986 to 1994 he held some research grants from Ministry of Superior Education of Ukraine and industry. From 1998 to 2010 he held some grants from Mexican National Council of Science and Technology. He is a member of Ukrainian Scientific Society, National System of Investigators of Mexico, Senior Member of IEEE, member of IEICE, WSEAS and New York Academy of Sciences. He was a chairman of some international conferences in Mexico, member of technical program committee of some conferences around the world and invited lecturer of more than 10 international conferences. He obtained best paper award at National SOMI Conference, 1999 (Mexico), International conference IBERCHIP, 2002 (Mexico), International WSEAS Conference, 2009 (Turkey), International Conference IEEE EWDTS, 2010 (Russia). He was a Reviewer of International Design Automation Conference-DAC, 2001–2003, USA; International Conference on Computing, Communication and Control Technologies-CCCT, 2004–2008, USA; World Multi-Conference on Systemics, Cybernetics and Informatics, 2003–2011, USA.