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Mixed strategies in maximin testing of robust stabilization performance

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Abstract

We consider algorithms for testing robust stabilization performance for bilinear systems of special form, discrete-continuous systems of control of a dynamic object. We present an example of synthesis of a mixed testing strategy in the space module-orbital station rendezvous problem.

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References

  1. Sadovnichii, V.A., Aleksandrov, V.V., Voronin, L.I., and Lemak, S.S., Testing of the Performance of the Visual Stabilization of Space Objects on a Dynamic Bench with a Three-Level Control System, in Mat. Vopr. Kibern. (Mathematical Problems of Cybernetics), Moscow, 2001, no. 10, pp. 35–44.

  2. Aleksandrov, V.V., Testing the Performance of Stabilization of Non-Steady-State Motions, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 1997, no. 3, pp. 51–54.

  3. Aleksandrov, V.V., Blazhennova-Mikulich, L.Yu., Gutiérrez-Arias, J.E.M., and Lemak, S.S., Maximin Testing of Stabilization Accuracy, and Saddle Points in Geometric Games, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 2005, no. 1, pp. 43–50.

  4. Petrosyan, L.A., Teoriya igr (Game Theory), Moscow: Vyssh. Shkola, 1998.

    MATH  Google Scholar 

  5. Dem’yanov, V.F. and Vasil’ev, L.V., Nedifferentsiruemaya optimizatsiya (Nondifferentiable Optimization), Moscow: Nauka, 1981.

    MATH  Google Scholar 

  6. Boltyanskii, V.G., Optimal’noe upravlenie diskretnymi sistemami (Optimal Control of Discrete Systems), Moscow: Nauka, 1973.

    Google Scholar 

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Original Russian Text © V.A. Sadovnichii, V.V. Aleksandrov, A.V. Lebedev, S.S. Lemak, 2009, published in Differentsial’nye Uravneniya, 2009, Vol. 45, No. 12, pp. 1787–1793.

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Sadovnichii, V.A., Aleksandrov, V.V., Lebedev, A.V. et al. Mixed strategies in maximin testing of robust stabilization performance. Diff Equat 45, 1823–1829 (2009). https://doi.org/10.1134/S001226610912012X

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  • DOI: https://doi.org/10.1134/S001226610912012X

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