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具有脉动的泛函微分系统的稳定性定理

Stability Theorems for Impulsive Functional Differential Systems with Pulse Phenomena
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摘要 研究了具有脉动的泛函微分系统关于两个测度的稳定性。在允许解轨线碰撞同一脉冲面有限次的情况下,利用变分Lyapunov方法给出了判定脉冲泛函微分系统稳定性的比较结果。 The stability properties in terms of two measures for impulsive functional differential systems with pulse phenomena are investigated. Several sufficient results to stability are obtained, which allows trajectories strike the same hyper surface definite times. Sufficient conditions are given for (h0 ,h)-stability of one impulsive functional differential system by the method of variational Lyapunov function.
出处 《科学技术与工程》 2010年第3期608-611,616,共5页 Science Technology and Engineering
基金 国家自然科学基金(10871120) 山东省自然科学基金(Y2007A10)资助
关键词 (h0 h)-一致稳定 脉动 变分Lyapunov方法 泛函微分方程 (ho, h)-uniformly stable pulse phenomena the method of variational Lyapunov function functional differential equations
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参考文献7

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