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Robust stability criteria for uncertain neutral type stochastic system with Takagi-Sugeno fuzzy model and Markovian jumping parameters. (English) Zbl 1255.60113

A Tagaki-Sugeno (T-S) fuzzy model divides the input space into fuzzy areas and approximates the dynamic behaviour in this areas by linear models typically expressed by IF-THEN rules. The authors find out that there were no robust stability results for neutral type stochastic T-S fuzzy systems with time-varying delays and Markovian jumping parameters available in the existing literature. Now, in this paper, they present delay-dependent robust stability criteria for such T-S systems using linear matrix inequality techniques which can easily solved by Matlab. By employing a new Ljapunov-Krasovskij functional and some stochastic analysis techniques, a novel sufficient condition is derived to guarantee the asymptotic stability of the equilibrium point in the mean square. Numerical examples illustrate the effectiveness of the obtained results.

MSC:

60H30 Applications of stochastic analysis (to PDEs, etc.)
93D09 Robust stability

Software:

Matlab
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Full Text: DOI

References:

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