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Journal Nonlinear World №7 for 2013 г.
Article in number:
Interconnection of stability in sense of Zhukovsky with another stability notions in topologic dynamic
Keywords: nonlinear dynamical system stability in the sense of Zhukovsky stability in the sense of Lyapunov pseudoperiodical stability prolongational stability stability in the sense of Poisson
Authors:
О.V. Druzhinina, A.A. Shestakov
Abstract:
The problem of stability in the sense of N.E. Zhukovsky for continious nonlinear dynamical system is considered in the paper. New conditions of stability in the sense of Zhukovsky are obtained by the aid of notion of pseudoperiodical stability. The interconnection of notion of stability in the sense of Zhukovsky with another stability notions of topological dynamics is characterized. Obtained stability conditions can be used in problems of stability and chaotic behavior of technical systems, in problems of safety of transport systems and in mathematical control theory.
Pages: 459-467
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