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This paper presents a new approach to the stability analysis of recurrent fuzzy systems (RFSs). RFSs are rule-based dynamic fuzzy systems that are usually obtained from heuristic or data-driven modeling. In the presented approach, the stability of both continuous-time and discrete-time RFS can be analyzed in a common framework. It is based on the representation of an RFS as a hybrid polynomial system...
In this paper, a new optimization based design method for stabilization of polynomial systems with input constraints is presented. The method utilizes the sum of squares decomposition of polynomials and results in a nonpolynomial control law fulfilling amplitude constraints of the input. Consideration of input rate constraints can be included by extending the optimization problem. The resulting sum...
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