This paper proposes a trajectory planning and tracking approach for cylindrical heat exchanger process that is considered, under some assumptions, as a bilinear system. The proposed technique is based on orthogonal functions and especially the use of operational integration and product matrices. These operational tools allow the conversion of a bilinear differential state equation into an algeb...

The bounds of eigenvalues which are independent of both degrees of high-order elements and mesh sizes are shown for the preconditioned system by bilinear elements for the highorder finite elements discretizations applied to a model uniformly elliptic operator.

This paper presents a variety of necessary conditions and sufficient conditions under which the feedback interconnection of two rational input-output systems, that is, systems having bilinear state space realizations, produces a closed-loop system which is also rational.