| 不连续系统对给定的连续时变集合的实用稳定性 |
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| 引用本文： | 贺建勋. 不连续系统对给定的连续时变集合的实用稳定性[J]. 厦门大学学报(自然科学版), 1987, 0(2) |
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| 作者姓名： | 贺建勋 |
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| 作者单位： | 夏门大学计算机与系统科学系 |
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| 摘 要： | 本文研究不连续系统(1)和(2)对给定连续时变集合的实用稳定性,对(1)分别得到关于时变集合(S_1(t_1),S_R(t),J,t_0),(S_1(t)。S_R(t),J)和(S_1(t_0)),S_R(t),J, t_0)的实用稳定性,实用一致稳定性和实用不稳定性的判别准则.对(2)分别得到关于时变集合(S_1(t_0),S_R(t),S_D(t),J,t_0),(S_1(t),S_R(t),S_D(t),J)和(S_1(t_0),S_R(t),S_D(t),J,t_0)的实用稳定性,实用一致稳定性和实用不稳定性的判别准则.最后举例说明所得某些准则的应用.
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Practical Stability with Respect to Time Varying Sets for Discontinuous Systems |
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| He Jianxun. Practical Stability with Respect to Time Varying Sets for Discontinuous Systems[J]. Journal of Xiamen University(Natural Science), 1987, 0(2) |
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| Authors: | He Jianxun |
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| Affiliation: | Dept. of Computer And System Science |
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| Abstract: | In this paper the practical stability with respect to some giving continuoustime-varying sets of the following discontinuous systems (1) x=f(t,x) and( 2 ) x=f (t, x, d(t,x))are considered. The criteria which guarantee thediscontinuous system ( 1 ) is practically stable with respect to time-varying sets (S1(t0), SR(t), J, t0), practically and uniformly stable with respect to time varying sets (S1(t), SR(t), J), and practically unstable with respect to time-varying sets (S1(t0), SR(t), J, t0), and the discontinuous system ( 2 ) is practically stable with respect to time-varying sets (S1(t0), SR (t),SD(t),J,t0), practically and uniformly stable with respect to time varying sets (S1(t), SR(t), SD(t), J) and practically unstable with respect to time-varying sets(S1(to), Sr(t), Sd(t), J, t0), are established. Finally, an example for some results is given. |
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| Keywords: | Stability Time-varying sets Discontinuous systems |
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