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Ukrainian Mathematical Journal

, Volume 71, Issue 8, pp 1202–1213 | Cite as

On the Stability of a Program Manifold of Control Systems with Variable Coefficients

  • S. S. ZhumatovEmail author
Article
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We study the absolute stability of the program manifold of basic control systems with variable coefficients and stationary nonlinearities. The conditions of stability of basic systems are investigated in a neighborhood of a given program manifold. The nonlinearities satisfy the conditions of a local quadratic relationship. Sufficient conditions for the absolute stability of the program manifold with respect to a given vector function are established by constructing the Lyapunov function. A method used to select the Lyapunov matrix is specified.

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institute of Mathematics and Mathematical ModellingKazakhstan Ministry of Education and ScienceAlmatyKazakhstan

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