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Robust H∞ finite-time fuzzy control of nonlinear Markovian jump singular systems

This paper addresses problems of the fuzzy finite-time control for nonlinear Markovian jump singular systems which are represented though T-S models. First of all, sufficient criterions of stochastic singular finite-time boundedness (SSFTB) using augmented matrix is gained for fuzzy Markovian jump singular systems. Secondly the outcome is expanded to stochastic singular H∞ finite-time boundedness (SSH∞FTB) for this kind of systems. In order to ensure the SSFTB and SSH∞FTB of closed-loop systems, state feedback laws are provided according to strictly linear matrix inequalities. At last, a bio-economic example is given to show the availability of developed methodology.