Nishida, Gou (The Inst. of Physical and Chemical Res.), Yamakita, Masaki (Tokyo Tech. / RIKEN), Luo, Zhiwei (Kobe Univ. / RIKEN)

Global Boundary Connection of Stokes-Dirac Structures for Morse-Smale Flows on Compact Manifolds

Scheduled for presentation during the Regular Session "Algebraic systems theory" (MoP12), Monday, July 24, 2006, 16:10−16:35, Room 104b

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 25, 2024

Abstract

The Stokes-Dirac structure is used for a representation of distributed parameter port Hamiltonian systems. In this case, the object of the study is a manifold with a uniform boundary. The purpose of this paper is to introduce an extended model of Stokes-Dirac structures, called Morse-Smale-Dirac structure. The model has the capability of dealing with a complex phenomenon that there exist both inflows and outflows through a non-uniform boundary. Then, it is shown that the structure is related to a property of the whole manifold including a number of critical points. This situation means a global boundary connected structure in the sense of topology.