Stability analysis of continuous-time recurrent fuzzy systems

Andreas Schwung, Thomas Gubner, Jürgen Adamy · 2009

In this paper, we present a new approach for the stability analysis of continuous-time recurrent fuzzy systems (CTRFS). The approach is based on the representation of a CTRFS as a switched polynomial system, for which a Lyapunov function is constructed in a two step procedure. Both steps are based on semidefinite programming. The applicability is shown by an ecological system formulated as a rule based structure.

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