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Solving Boundary Value Problem for a Nonlinear Stationary Controllable System with Synthesizing Control

Author

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  • Alexander N. Kvitko
  • Oksana S. Firyulina
  • Alexey S. Eremin

Abstract

An algorithm for constructing a control function that transfers a wide class of stationary nonlinear systems of ordinary differential equations from an initial state to a final state under certain control restrictions is proposed. The algorithm is designed to be convenient for numerical implementation. A constructive criterion of the desired transfer possibility is presented. The problem of an interorbital flight is considered as a test example and it is simulated numerically with the presented method.

Suggested Citation

  • Alexander N. Kvitko & Oksana S. Firyulina & Alexey S. Eremin, 2017. "Solving Boundary Value Problem for a Nonlinear Stationary Controllable System with Synthesizing Control," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-13, September.
  • Handle: RePEc:hin:jnlmpe:8529760
    DOI: 10.1155/2017/8529760
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