Comparison of characteristics of Lyapunov function for different strategies of circuit optimization

  • Authors:
  • Alexander Zemliak;Fernando Reyes;Jaime Cid;Tatiana Markina

  • Affiliations:
  • Department of Physics and Mathematics, Autonomous University of Puebla, Mexico and Institute of Technical Physics, National Technical University of Ukraine, Ukraine;Department of Electronics, Autonomous University of Puebla, Mexico;Department of Electronics, Autonomous University of Puebla, Mexico;Institute of Technical Physics, National Technical University of Ukraine, Ukraine

  • Venue:
  • ACMIN'12 Proceedings of the 14th international conference on Automatic Control, Modelling & Simulation, and Proceedings of the 11th international conference on Microelectronics, Nanoelectronics, Optoelectronics
  • Year:
  • 2012

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Abstract

The analog system optimization for a minimal computer time has been formulated as the functional minimization problem of the control theory. The design process in this case is formulated as the controllable dynamic system. The optimal sequence of the control vector switch points was determined as a principal characteristic of the minimal-time system design algorithm. The conception of the Lyapunov function was proposed to analyze the behavior of design process. The special function that is a combination of the Lyapunov function and its time derivative was proposed to predict the design time of any strategy by means of the initial time interval analysis.