Abstract: One of the major challenges of designing large electronic systems is the task of reducing the CPU time for circuits optimization. This problem can be solved on the basis of a generalized approach to optimization of electronic circuits. The generalization of circuit optimization can be done as a problem of minimizing the functional in control theory. A special vector of control serves as a principal tool to redistributing the computer time between circuit analysis and the procedure of parametric optimization. The circuit design process is formulated in this case as a controllable dynamic system. To realize the minimal-time design algorithm we need constructing the optimal structure of the vector of control. Obtaining the optimal sequence of switching points of the vector control in the design process can be based on the intrinsic properties of each optimization strategy. The Lyapunov function of the process of optimization serves as a principal function that separates the perspective strategies for design of circuits. The process of designing electronic circuits is formulated as a dynamic controllable system, while the design corresponds to the transition process to bring the system in steady state. In this case, the main objective of optimum design is defined as the problem of minimizing the transient process of bringing the system in steady state. Stability analysis of each strategy of design based on Lyapunov's direct method revealed a strong correlation between the time of design and the main indicators of the design process, namely the Lyapunov function and its time derivative. The strategies that have the greatest absolute value of the time derivative of Lyapunov function in the initial phase of the trajectory design, exhibit the greatest stability and have the least CPU time. This property is the basis for the constructing a minimal-time algorithm of design.

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, numerical techniques in the simulation, analysis and optimization of microwave devices. He has authored of two books, 6 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 is Editor-in-Chief of the WSEAS Transactions on Systems, Member of the Editorial Board of the WSEAS Transactions on Circuits and Systems, WSEAS Transactions on Electronics. 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, 2003–2010, USA.