Common I/O Triangular Decoupling for multi model descriptor systems

The problem of Common Input/Output Triangular Decoupling (TD) for multi model descriptor linear systems is solved, using a static state feedback controller. The necessary and sufficient conditions for the solvability of the problem are established. The set of all state feedback controllers solving the problem under the solvability conditions is derived. For the derivation of the above results, the problem of the inversion of a multiparameter matrix pencil in a triangular matrix form and under linear inequality constraints is solved.