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On the asymptotical behaviour of solutions of a class of nonlinear control systems

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Abstract

In this paper, the asymptotical behaviour solutions of a class of nonlinear control systems are studied. By estabilshing infinite integrals along solutions of the system and darwing support from a LaSalle's invariance principle of integral form, criteria of dichotomy and global asymptotical behaviour of solutions are obtained. This work is an improvement and further extension of research methods and results of A. S. Aisagaliev.

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  1. Department of Mathematics, Xinjiang University, 830046, Wulumuqi, P R China

    Teng Zhindong

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  1. Teng Zhindong
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Communicated by Ma Xingrui

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Zhindong, T. On the asymptotical behaviour of solutions of a class of nonlinear control systems. Appl Math Mech 20, 1405–1412 (1999). https://doi.org/10.1007/BF02459175

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  • DOI: https://doi.org/10.1007/BF02459175

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