Optimal principle for dynamical system with alterative orbiting

Authors

  • O. I. Lysenko National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute»
  • O. M. Tachinina National Aviation University

DOI:

https://doi.org/10.18372/1990-5548.50.11398

Keywords:

Optimization, Dynamic system, Branching path, Optimal trajectory

Abstract

Lagrange problem with the account of functional limitation at any functional limitations atany moment in a given interval is presented. The required conditions for optimal trajectories of thedeterminated dynamic system synthesized as space vehicle trajectories have been obtained

Author Biographies

O. I. Lysenko, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute»

Doctor of Engineering Science. Professor. Professor of Department of Telecommunications

O. M. Tachinina, National Aviation University

Candidate of Science (Engineering). Associate Professor. Department of Automation and Energy Management

References

J. Mason, Some optimal trajectories. Redondo Beach, Calif., CR–1331, 1969, 278 p.

L. Ashchepkov, Optimal control of discontinuous systems. Novosibirsk, Nauka, 1987, 226 p. (in Russian)

O. Lysenko, O. Tachinina, S. Chumachenko, and O. Nikulin, “Problem of the theory of branching paths to solve problems of search and rescue emergencies in the area,” Tehnycheskaya Mechanics, Dnepropetrovsk, 2015, vol.1, pр.73–78.

O. Lysenko, “Conditions jump in the problem of optimal control object,” Adaptive automatic control system, Kyiv, 1988, vol. 16, pр. 136–141.

O. Lysenko and O. Tachinina, “The method of constructing optimal trajectories with alternative,” Visnyk AMU, Kyiv, 2014, vol. 2(8), pp. 73–78.

O. Lysenko, “Optimize path integral of a dynamical system with the current division point,” Technical Cybernetics, Kyiv, 1990, vol.14, pр. 24–31.

O. Lysenko, “Optimal trajectories of dynamical systems with a special type of restrictions,” Technical cybernetics, Kyiv, 1992, vol. 3. pр. 34–40.

O. Lysenko, “Problem extensive trajectory optimization of complex dynamic systems,” Science and Defence, Kyiv, 1998, vol.1, pp. 37–38.

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Issue

Vol. 4 No. 50 (2016)

Section

MATHEMATICAL MODELING OF PROCESSES AND SYSTEMS

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