Vestnik St. Petersburg University, Mathematics

, Volume 50, Issue 4, pp 372–383 | Cite as

Algorithm of the resolving of a boundary-value problem for a nonlinear controlled system and its numerical modeling

  • A. N. KvitkoEmail author
  • O. S. Firyulina
  • A. S. Eremin


An algorithm to construct a differentiable control function guaranteeing the transfer nonlinear stationary systems of ordinary differential equations from the initial state to a given final state of the phase space such that restrictions for the control are satisfied is proposed. The proposed algorithm is convenient for numerical implementation and is applicable to a broad class of systems. A sufficient condition of the existence of a desired transfer function is constructed. A certain practical problem is considered and simulated numerically by means of the presented method.


boundary condition stabilization control nonlinear systems 


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Copyright information

© Allerton Press, Inc. 2017

Authors and Affiliations

  • A. N. Kvitko
    • 1
    Email author
  • O. S. Firyulina
    • 1
  • A. S. Eremin
    • 1
  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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