Abstract: According to recent studies of the generalized variational principle by Professor Chien Weizang, the more generalized hybrid variational principle for finite element method is given, from which a new kind of the generalized hybrid element model is etablished.Using the thin plate bending element with varying thickness as an example, we compare various hybrid elements based on different generalized variational principles.

Key words: hybrid dynamic system, switched linear system, time-delay, controllability, generalized cyclic invariant subspace, switching sequence, switching path