Suscripción a Biblioteca: Guest
Portal Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones
Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

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

Volumen 51, 2019 Volumen 50, 2018 Volumen 49, 2017 Volumen 48, 2016 Volumen 47, 2015 Volumen 46, 2014 Volumen 45, 2013 Volumen 44, 2012 Volumen 43, 2011 Volumen 42, 2010 Volumen 41, 2009 Volumen 40, 2008 Volumen 39, 2007 Volumen 38, 2006 Volumen 37, 2005 Volumen 36, 2004 Volumen 35, 2003 Volumen 34, 2002 Volumen 33, 2001 Volumen 32, 2000 Volumen 31, 1999 Volumen 30, 1998 Volumen 29, 1997 Volumen 28, 1996

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


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.


  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).

Articles with similar content:

Necessary Optimality Conditions of Second Order in Classical Sense in Optimal Control Problems of Three-Point Conditions
Journal of Automation and Information Sciences, Vol.42, 2010, issue 3
Shamo Isakh ogly Djabrailov, Yagub Amiyar ogly Sharifov, Magomet Farman ogly Mekhtiyev
Numerical Method of Integrating the Variational Equations for Cauchy Problem Based on Differential Transformations
Journal of Automation and Information Sciences, Vol.47, 2015, issue 9
Mikhail Yu. Rakushev
Integral Equations in the Problem on Longitudinal Slot Cone Excitation
Telecommunications and Radio Engineering, Vol.57, 2002, issue 2-3
O. A. Remayeva, V. A. Doroshenko
Optimization of the Process of Vibrations of a Beam
Journal of Automation and Information Sciences, Vol.49, 2017, issue 1
Miroslav M. Kopets
Synthesis of the Optimal Control for Linear Stochastic Dynamical Systems with Finite Aftereffect and Poisson Disturbances
Journal of Automation and Information Sciences, Vol.40, 2008, issue 10
Vladimir K. Yasinskiy, Taras O. Lukashiv, Lyubov I. Yasinskaya