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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimir: 1064-2315
ISSN En Línea: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v30.i2-3.160
pages 128-133

Synthesis of Bang-Bang Controls in an Analytic Form in Solution of an Optimization Terminal Problem

Alexander A. Litvin
Kyiv Air Force Institute

SINOPSIS

An approach to the solution of an optimization terminal problem for nonlinear dynamical objects is considered. An analytic solution to the adjoint boundary value problem of the maximum principle is obtained; this is attained via the passage from the canonical system of differential equations to equations in complete differentials.

REFERENCIAS

  1. Pshenichnyi, B. N. and Danilin, Yu. M., Chislennye metody v extremal'nykh zadachakh (Numerical Methods in Extremal Problems).

  2. Evtushenko, Yu. G., Metody resheniya extremal'nykh zadach i ikh primenenie v sistemakh optimizatsii (Methods for Solution of Extremal Problems and Their Application in Optimization Systems).

  3. Pshenichnyi, B. N. and Danilin, Yu. M., On Differentiability of Solutions to a System of Differential Equations with Discontinuous Right-Hand Side with respect to the Initial Values, Teoriya Optimal'nykh Reshenii.

  4. El'sgol'ts, E. L., Differentsial'nye uravneniya i variatsionnoe ischislenie (Differential Equations and the Calculus of Variations).

  5. Gabasov, R. and Kirillova, F. M., Printsip maksimuma v teorii optimal'nogo upravleniya (Maximum Principle in Optimal Control Theory).

  6. Kovrizhkin, O. G. and Kramarenko, E. A., Solution of a Certain Terminal Control Problem.

  7. Athans, M. and Falb, P., Optimal'noe upravlenie (Optimal Control).


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