Stability and attractivity in optimistic value for dynamical systems with uncertainty

作者：Tao, Nana; Zhu, Yuanguo^*

来源：International Journal of General Systems, 2016, 45(4): 418-433.

DOI：10.1080/03081079.2015.1072522

• Stability
• attractivity
• dynamical systems
• uncertainty
• optimistic value
• population model

Stability analysis is an important aspect to investigate the qualitative analysis of solutions of dynamical systems with uncertainty. And the optimistic value of uncertain variable is a critical value for handing optimization problems under uncertain environments. In this paper, we introduce two concepts of stability and attractivity in optimistic value for dynamical systems with uncertainty. Then, we present a sufficient condition of stability and a sufficient and necessary condition of attractivity for linear dynamical systems with uncertainty. Furthermore, we discuss the relationship between stability in measure (in mean, in distribution) and stability in optimistic value, and the relationship between attractivity in measure (in mean, in distribution) and attractivity in optimistic value. Last, a population model is considered.

• 出版日期2016
• 单位南京理工大学; 开封大学