SIAM Journal on Control and Optimization, Vol.44, No.3, 969-990, 2005
A canonical form for the inclusion principle of dynamic systems
The inclusion principle provides a mathematical framework for comparing behavior of dynamic systems having different dimensions. Our main objective is to derive a canonical form for larger systems ( expansions) that are obtained by expanding smaller systems ( contractions). The form offers full freedom in selecting appropriate matrices for the expansion-contraction process. We will broaden the form to include feedback and propose an explicit characterization of contractible control laws subject to overlapping information structure constraints.