On discrete-time laser model with fuzzy environment

Abstract

In this work, dynamical behaviors of discrete time laser model with fuzzy parameters are studied. It provides a flexible model to fit fuzzy uncertainty data. For four different fuzzy parameters and fuzzy initial conditions, using a generalization of division (g-division) of fuzzy number, it can represent dynamical behaviors including boundedness and global asymptotical stability of positive solution. Finally, two examples are given to demonstrate the effectiveness of the results obtained.

Keywords

• discrete-time laser model
• boundedness
• stability
• g-division