# NON-MONOTONIC LYAPUNOV FUNCTIONS FOR STABILITY ANALYSIS AND STABILIZATION OF DISCRETE TIME TAKAGI-SUGENO FUZZY SYSTEMS

@inproceedings{Derakhshan2012NONMONOTONICLF, title={NON-MONOTONIC LYAPUNOV FUNCTIONS FOR STABILITY ANALYSIS AND STABILIZATION OF DISCRETE TIME TAKAGI-SUGENO FUZZY SYSTEMS}, author={S. F. Derakhshan and A. Fatehi}, year={2012} }

This paper presents a new approach for the stability analysis and controller synthesis of discrete-time Takagi-Sugeno fuzzy dynamic systems. In this paper, nonmonotonic Lyapunov function is utilized to relax the monotonic requirement of Lyapunov theorem which renders larger class of functions to provide stability. To this end, three new sufficient conditions are proposed to establish global asymptotic stability. In this regard, the Lyapunov function decreases every few steps; however, it can be… Expand

#### 29 Citations

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