Browsing 数学科学－已发表论文 by Author "Li, An"
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A new representation of a proximal subdifferential by employing a directional derivative
Li, An; 李安 (NONLINEAR ANAL-REAL, 2011-06)In this paper, a new representation of the proximal subdifferential of a nonsmooth function is presented by using a directional derivative. The upper-semicontinuity property of the proximal subdifferential is proved via ... -
Stability and boundedness criteria of nonlinear impulsive systems employing perturbing Lyapunov functions
Song, Xinyu; Li, An; 李安 (APPL MATH COMPUT, 2011-08-15)This paper develops a new comparison principle for nonlinear impulsive differential systems, then the stability, practical stability and boundedness of impulsive differential systems are proved by using the method of ... -
Stability and boundedness of differential equations relative to initial time difference by employing vector Lyapunov functions
Wu, Zikai; Li, An; 李安 (ELSEVIER SCIENCE INC, 2013-Dec 1)The existing stability results relative to initial time difference are not easy to be applied into practice since it is too hard to find a Lyapunov function satisfying all the conditions. This paper presents several ...