Remarks on three types of asymptotic stability |
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| Authors: | Xiao-Song Yang |
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| Affiliation: | Institute for Nonlinear Systems, Chongqing University of Posts and Telecommunication, Chongqing 400065, People's Republic of China |
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| Abstract: | In this note, three types of asymptotic stability (Liapunov stability, Poincaré stability, and Zhukovkij stability) of motion in continuous autonomous dynamical systems are discussed. It is shown that each type of asymptotic stability can be geometrically characterized by omega limit set of an orbit of this type of stability. |
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| Keywords: | Liapunov stability Poincaré stability Zhukovskij stability Omega limit set |
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