Stability criteria for set dynamic equations on time scales
Stability criteria for set dynamic equations on time scales
复制标题
时标上集合动态方程的稳定性准则
DOI：
10.1016/j.camwa.2010.03.033
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发表时间：
2010-06-01
影响因子：
2.9
通讯作者：
Hong, Shihuang
中科院分区：
文献类型：
--
作者：
Hong, Shihuang
最近，一个新的理论被称为时间尺度上的集合动力学方程已经建立。本文利用类李雅普诺夫函数研究了时标上动力方程组解的稳定性。给出了系统的等稳定性、等渐近稳定性、一致稳定性和一致渐近稳定性的判据。(C)2010爱思唯尔有限公司版权所有。
Very recently, a new theory known as set dynamic equations on time scales has been built. In this paper, notions of stability for the solutions of set dynamic equations on time scales, using Lyapunov-like functions are considered. Criteria for the equistability, equiasymptotic stability, uniform and uniform asymptotic stability are developed. (C) 2010 Elsevier Ltd. All rights reserved.