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- Title
Stability Analysis and Stabilization of T-S Fuzzy Delta Operator Systems with Time-Varying Delay via an Input-Output Approach.
- Authors
Zhixiong Zhong; Guanghui Sun; Karimi, Hamid Reza; Jianbin Qiu
- Abstract
The stability analysis and stabilization of Takagi-Sugeno (T-S) fuzzy delta operator systems with time-varying delay are investigated via an input-output approach. A model transformation method is employed to approximate the time-varying delay. The original system is transformed into a feedback interconnection form which has a forward subsystem with constant delays and a feedback one with uncertainties. By applying the scaled small gain (SSG) theorem to deal with this new system, and based on a Lyapunov Krasovskii functional (LKF) in delta operator domain, less conservative stability analysis and stabilization conditions are obtained. Numerical examples are provided to illustrate the advantages of the proposed method.
- Subjects
STABILITY theory; TIME-varying systems; INPUT-output analysis; LYAPUNOV functions; SMALL-gain theorem (Mathematics); MATHEMATICAL constants
- Publication
Mathematical Problems in Engineering, 2013, p1
- ISSN
1024-123X
- Publication type
Article
- DOI
10.1155/2013/913234