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This paper deals with sufficient conditions of asymptotic stability for non linear discrete-time 2D systems represented by a Takagi-Sugeno fuzzy model of Roesser type with state feedback control. This work is based on common and multiple Lyapunov functions. The results are presented in LMI's form.
This paper deals with the stability synthesis for a class of 2D linear systems described by the Roesser model. We provide necessary and sufficient conditions for stability, as well as stabilization for linear positive Roesser systems. This kind of systems have the property that the states take nonnegative values whenever the initial boundaries are non-negative. The synthesis of state-feedback controllers,...
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