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自动化与信息科学期刊

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ISSN 打印: 1064-2315

ISSN 在线: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

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

卷 30, 册 2-3, 1998, pp. 128-133
DOI: 10.1615/JAutomatInfScien.v30.i2-3.160
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摘要

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.

参考文献
  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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