Control vector optimal structure for minimal-time networks optimization

  • Authors:

  • Alexander Zemliak;Miguel Torres;Antonio Michua

  • Affiliations:

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

  • Venue:
  • CISST'10 Proceedings of the 4th WSEAS international conference on Circuits, systems, signal and telecommunications
  • Year:
  • 2010

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Abstract

The methodology for the electronic networks optimization was elaborated by means of the optimal control theory approach. In this case the problem of the electronic system design is formulated as a classical problem of functional minimization of the optimal control theory. The minimal time system design algorithm was defined as a controllable dynamic process with an optimal control vector. By this methodology the aim of the system design process with minimal computer time is presented as a transition process of some dynamic system that has the minimal transition time. The optimal position of the control vector switch points was determined as a principal characteristic of the minimal-time system design algorithm. The special function that is a combination of Lyapunov function of the design process and its time derivative was proposed to predict the optimal control vector to construct an optimal system design algorithm.