On the dissipativity of pseudorational behaviors

This paper studies dissipativity for a class of infinite-dimensional systems, called pseudorational, in the behavioral context. A basic equivalence condition for dissipativity is established as a generalization of the finite-dimensional counterpart. For its proof, we derive a new necessary and sufficient condition for entire functions of exponential type (in the Paley-Wiener class) to be symmetrically factorizable. These results play crucial roles in characterizing dissipative behaviors and LQ-optimal behaviors in pseudorational settings.

• Type: Journal
• Year: 2010
• Where: CDC
• Authors: Masaki Ogura, Yutaka Yamamoto, Jan C. Willems
• Keywords: Basic Equivalence Condition, CDC 2010, Control Systems, Finite-dimensional Counterpart, Paper Studies Dissipativity