Lyapunov-Type Theorem of General Two-Dimensional Nonlinear Parameter-Varying FM Second Model

This brief is concerned with the Lyapunov-type stability theorem of general 2-D nonlinear parameter-varying Fornasini-Marchesini (FM) second model. First, three comparison lemmas are given and play an important role in the stability analysis. Then, it is shown that a general 2-D nonlinear parameter-varying FM second model is uniformly stable (or uniformly asymptotically stable and exponentially stable) if it admits a corresponding continuous Lyapunov-type function.