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- Title
Augmented Lyapunov Function-based Exponential Stability Control of Fuzzy Systems with Stochastic Input Delay.
- Authors
Hejun Yao
- Abstract
The problem of exponential stability control of fuzzy systems is considered via augmented Lyapunov function approach. The T-S fuzzy system is established by introducing a new random variable on the basis of considering the stochastic input delay satisfying Bernoulli distribution. By designing the weighted Lyapunov function with exponential term, an exponential stability condition based on the bound of random input delay is obtained by using linear matrix inequality method, and the state feedback fuzzy controller based on random input time delay is given. The validity of the results is demonstrated by a numerical example.
- Subjects
FUZZY control systems; EXPONENTIAL stability; STOCHASTIC systems; MATRIX inequalities; RANDOM matrices; BINOMIAL distribution; LINEAR matrix inequalities; MARKOVIAN jump linear systems
- Publication
IAENG International Journal of Applied Mathematics, 2021, Vol 51, Issue 1, p41
- ISSN
1992-9978
- Publication type
Article