Lyapunov function and comparison principle for discrete systems. (Chinese. English summary) Zbl 0746.93074
Summary: We define the concepts of upper-quasi-monotone and subquasi-monotone vector functions. Then, vector quasi-difference inequalities are obtained. Furthermore, using vector Lyapunov function methods, comparison theorems for stability and unstability of the trivial solution of nonlinear discrete systems are given.
MSC:
93D30 | Lyapunov and storage functions |