Abstract
This paper presents a stability analysis method for the discrete time fuzzy system based on a piecewise Lyapunov function. It is shown that the stability of the system can be established if a piecewise Lyapunov function can be constructed, and moreover, the function can be obtained by solving a set of Linear Matrix Inequalities (LMI) that is numerically feasible with commercially available software.
| Original language | English |
|---|---|
| Pages (from-to) | 123-128 |
| Journal | Topics in Applied and Theoretical Mathematics and Computer Science |
| Publication status | Published - 2001 |
Research Keywords
- Discrete time
- Fuzzy systems
- Linear matrix inequality
- Piecewise Lyapunov function
- Stability
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