  This paper deals with the non-quadratic decentralized stabilization of a set
of n Takagi-Sugeno descriptors. To ensure the stability of the whole
closed-loop dynamics and to minimize interconnection effects between
subsystems, the main result allows designing a network of non Parallel
Distributed Compensation control laws via a H $\infty$ criterion. Sufficient
conditions, obtained from a non quadratic fuzzy Lyapunov approach, are provided
in terms of Linear Matrix Inequalities. Finally, a numerical example
illustrates the efficiency of the proposed decentralized control approach.
