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

作者：Zhu Qiao^*; Hu Guang Da; Yin Yi Xin

来源：IEEE Transactions on Circuits and Systems II-Express Briefs, 2012, 59(7): 453-457.

DOI：10.1109/TCSII.2012.2200172

• Comparison lemma
• general 2-D nonlinear parameter-varying Fornasini-Marchesini (FM) second model
• Lyapunov-type stability theorem

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.

• 出版日期2012-7
• 单位北京科技大学