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Control of systems with concentrated parameters in a class of special control functions

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Abstract

In this paper, problems of the control of classes of impulse functions and Heaviside step functions are investigated in which both the values and the impact time (what is most important) of these functions are optimized. Formulae have been obtained for the functional gradient in the space of optimized parameters, which allow one to use methods of finite-dimensional optimization of the 1st order to solve the problems of the optimum control.

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References

  1. Bensuassan, A. and Lions, J.L., Controle Impulsionel et Inequitions Quasivariationelles, Dunod, 1987.

  2. Lions, J.L., Controle des Systemes Distributes Singuliers, Gauthier, Willars, 1987.

  3. Miller, B.M., Optimality Conditions in the Problems of Generalized Control. 1. The Necessary Conditions of the Optimality. 2. Sufficient Conditions of the Optimality, AiT, 1992, no. 3, p. 50–58, no. 4, p. 39–48.

  4. Kolokolnikova, G.A., Necessary Conditions of the Second Order Optimality of Special and Impulse Modes, AiT, 1990, no. 6, p. 48–57.

  5. The Control Handbook, Levine, W.S., Ed., CDC Press, IEEE Press, 1996.

  6. Aidazade, K.R. and Ragimov, A.B., Solution of the Optimal Control Problem on the Class of Piecewise Constant Functions, AiVT, 2007, no. 1, p. 27–36.

  7. Dykhta, V.A., Optimization of the Dynamical Systems with Broken Trajectories and Impulse Controls, Soros Educational Journal, 1999, no. 8, p. 110–115.

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Author information

Authors and Affiliations

  1. Azerbajdjanian State Oil Academy, ul. Azadlyg 20, Baku, AZ1010, Azerbajdjan

    K. R. Ayda-Zade

  2. Institute of Cybernetics, National Academy of Sciences of Azerbajdjan, ul. F. Agaeva 9, Baku, AZ114, Azerbajdjan

    E. R. Ashrafova

Authors
  1. K. R. Ayda-Zade
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  2. E. R. Ashrafova
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Corresponding author

Correspondence to K. R. Ayda-Zade.

Additional information

Original Russian Text © K.R. Ayda-Zade, E.R. Ashrafova, 2009, published in Avtomatika i Vychislitel’naya Tekhnika, 2009, No. 3, pp. 47–56.

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Ayda-Zade, K.R., Ashrafova, E.R. Control of systems with concentrated parameters in a class of special control functions. Aut. Conrol Comp. Sci. 43, 148–155 (2009). https://doi.org/10.3103/S0146411609030055

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  • DOI: https://doi.org/10.3103/S0146411609030055

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