Abstract
In this paper, we prove the existence of the global classical solutions and the uniform stability of the zero solution to the initial value problem for a class of high dimensional dynamic systems which contain the degenerate case.
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References
Lefschetz, S.,Stability of Nonlinear Control Systems, Academic Press, New York (1965).
Liao Xiao-xin, Absolute stability of general Lurie control systems.Acta Mathematica Scientia, 11 (1991), 1–12.
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Communicated by Lin Zong-chi
Project supported by the National Youth Science Foundation of China
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Chang-jiang, Z. Initial value problem for high dimensional dynamic systems. Appl Math Mech 16, 279–282 (1995). https://doi.org/10.1007/BF02450528
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DOI: https://doi.org/10.1007/BF02450528