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Stability of a program manifold of control systems with locally quadratic relations

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Ukrainian Mathematical Journal Aims and scope

We establish sufficient conditions for the absolute stability of a program manifold of control systems. In the case where the Jacobi matrix is degenerate, sufficient conditions for the absolute stability of a program manifold is obtained by reduction to the central canonical form.

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Authors and Affiliations

  1. Institute of Mathematics, Ministry of Education and Science of Kazakhstan Republic, Alma-Ata, Kazakhstan

    S. S. Zhumatov

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  1. S. S. Zhumatov
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 3, pp. 418–424, March, 2009.

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Zhumatov, S.S. Stability of a program manifold of control systems with locally quadratic relations. Ukr Math J 61, 500–509 (2009). https://doi.org/10.1007/s11253-009-0224-y

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  • DOI: https://doi.org/10.1007/s11253-009-0224-y

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