Attractivity and Stability Analysis of Uncertain Differential Systems

作者：Tao Nana; Zhu Yuanguo^*

来源：International Journal of Bifurcation and Chaos, 2015, 25(2): 1550022.

DOI：10.1142/S0218127415500224

• Uncertain differential system
• uncertain process
• attractivity
• sufficient and necessary condition
• stability
• alpha-path

Uncertain differential system is a type of differential system involving uncertain processes. Stability analysis has been widely studied but no work has been dedicated to attractivity analysis of uncertain differential systems. In this paper, some concepts of attractivity for uncertain differential systems are presented. Then the corresponding sufficient and necessary conditions are given. Furthermore, the stability of the solutions and alpha-path of uncertain differential systems are studied.

• 出版日期2015-2
• 单位南京大学; 开封大学