Analysis of a Lyapunov function characteristics for various strategies of designing circuits

  • Authors:

  • Alexander Zemliak;Antonio Michua;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 Physics and Mathematics, Autonomous University of Puebla, Mexico;Institute of Technical Physics, National Technical University of Ukraine, Ukraine

  • Venue:
  • NEHIPISIC'11 Proceeding of 10th WSEAS international conference on electronics, hardware, wireless and optical communications, and 10th WSEAS international conference on signal processing, robotics and automation, and 3rd WSEAS international conference on nanotechnology, and 2nd WSEAS international conference on Plasma-fusion-nuclear physics
  • Year:
  • 2011

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Abstract

The problem of analog system design 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.