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This paper deals with the non-quadratic decentralized stabilization of a setof n Takagi-Sugeno descriptors. To ensure the stability of the wholeclosed-loop dynamics and to minimize interconnection effects betweensubsystems, the main result allows designing a network of non ParallelDistributed Compensation control laws via a H $\infty$ criterion. Sufficientconditions, obtained from a non quadratic fuzzy Lyapunov approach, are providedin terms of Linear Matrix Inequalities. Finally, a numerical exampleillustrates the efficiency of the proposed decentralized control approach.

Synth\`ese non quadratique H$\infty$ de contr\^oleurs d\'ecentralis\'es pour un ensemble de descripteurs flous T-S interconnect\'es