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

Author

Zhu, Qiao ; Hu, Guang-Da ; Yin, Yi-Xin

Author_Institution

Sch. of Autom. & Electr. Eng., Univ. of Sci. & Technol. Beijing, Beijing, China

Volume

59

Issue

7

fYear

2012

fDate

7/1/2012 12:00:00 AM

Firstpage

453

Lastpage

457

Abstract

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.

Keywords

Lyapunov methods; asymptotic stability; nonlinear control systems; Lyapunov-type stability theorem; asymptotic stability; continuous Lyapunov-type function; exponential stability; general 2D nonlinear parameter-varying Fornasini-Marchesini second model; Asymptotic stability; Circuit stability; Frequency modulation; Integrated circuit modeling; Nonlinear systems; Stability criteria; Comparison lemma; Lyapunov-type stability theorem; general 2-D nonlinear parameter-varying Fornasini–Marchesini (FM) second model;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2012.2200172

Filename

6209401