Minimal Order Time Invariant Representation of Periodic Descriptor Systems

Authors

• Jitendriya K. Sreedhar, University of Illinois at Urbana-Champaign
• P. Van Dooren, University of Illinois at Urbana-Champaign
• Pradeep Misra, Wright State University - Main CampusFollow

Document Type

Conference Proceeding

Publication Date

1999

Abstract

A large number of results from linear time invariant system theory can be extended to periodic systems provided an equivalent time invariant system can be found. This problem has been well investigated for periodic systems which have a standard state space representation. This paper presents a numerical procedure to achieve the same for descriptor periodic systems with possibly singular descriptor matrix, in which case the monodromy matrix is not defined. It is shown that using a stacked representation of periodic systems a minimal order generalized state space description can always be obtained under system equivalence.

Repository Citation

Sreedhar, J. K., Van Dooren, P., & Misra, P. (1999). Minimal Order Time Invariant Representation of Periodic Descriptor Systems. Proceedings of the 1999 American Control Conference, 2, 1309-1313.
https://corescholar.libraries.wright.edu/ee/263

DOI

10.1109/ACC.1999.783579