General solution to systems in polynomial matrix form

Hou, M.; Pugh, A. C.; Hayton, G. E.

Abstract

Solvability and general solutions to dynamic systems in polynomial matrix descriptions are investigated. The polynomial matrix descriptions need not necessarily be regular. Consistency of initial Values and inputs are discussed. The characterization of the general solution for the systems in polynomial matrix descriptions has an explicit separation of proportional, integral and differential terms with respect to initial values and inputs. The derivation is based on a decomposition form of a singular matrix pencil.

Citation

Hou, M., Pugh, A. C., & Hayton, G. E. (2000). General solution to systems in polynomial matrix form. International journal of control, 73(9), 733-743. https://doi.org/10.1080/00207170050029241

• Journal Article Type: Article
• Acceptance Date: Jun 15, 2000
• Publication Date: Jun 15, 2000
• Journal: INTERNATIONAL JOURNAL OF CONTROL
• Print ISSN: 0020-7179
• Electronic ISSN: 1366-5820
• Publisher: Taylor and Francis
• Peer Reviewed: Peer Reviewed
• Volume: 73
• Issue: 9
• Pages: 733-743
• DOI: https://doi.org/10.1080/00207170050029241
• Keywords: Control and Systems Engineering; Computer Science Applications
• Public URL: https://hull-repository.worktribe.com/output/391148