| 一类非线性滞后型系统解的指数渐近稳定与准指数渐近稳定性 |
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| 引用本文： | 史瑞生,周明儒. 一类非线性滞后型系统解的指数渐近稳定与准指数渐近稳定性[J]. 徐州师范大学学报(自然科学版), 1990, 0(1) |
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| 作者姓名： | 史瑞生 周明儒 |
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| 作者单位： | 镇江师专(史瑞生)，徐州师范学院数学系(周明儒) |
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| 摘 要： | 本文绘出了形如x_i(t)=sum from i=1 to n[f_(ij)(x_j(l))+g_(ij)(x_j(t-i))](i=1,2,…,n） 的滞后型系统零解指数渐近稳定的一个判定定理,并给出零解难指数渐近稳定的定义和几个判定定理。
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| 关 键 词： | 指数渐近稳定 非振动解 指数渐近于零 准指数渐近稳定 |
EXPONENTIAL AND PRE-EXPONENTIAL ASYMPTOTICAL STABILITY OF SOLUTION FOR A CLASS OF NONLINEAR DELAY SYSTEM |
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| Shi Ruensheng Zhou Mingru. EXPONENTIAL AND PRE-EXPONENTIAL ASYMPTOTICAL STABILITY OF SOLUTION FOR A CLASS OF NONLINEAR DELAY SYSTEM[J]. Journal of Xuzhou Normal University(Natural Science Edition), 1990, 0(1) |
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| Authors: | Shi Ruensheng Zhou Mingru |
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| Affiliation: | Shi Ruensheng Zhou Mingru |
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| Abstract: | We gave a theorem that decides exponential asymptotical stability of the zero solution for the delay system x1(t)(i=1, 2, , n) and gave the definition ofpre-exponential asymptotical stability of the zero solution and some theorems. |
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| Keywords: | exponential asymptotical stability non-vibrational solution cxponentialy asymptoticaly tend to zero prc-exponential asymptotical stability |
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