Controllability of Continuous Bimodal Linear Systems. (19th May 2013)

• Record Type: Journal Article
• Authors: Ferrer, Josep; Pacha, Juan R.; Peña, Marta
• Other Names: Yang Rongni Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-05-19
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/342548
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : We consider bimodal linear systems consisting of two linear dynamics acting on each side of a given hyperplane, assuming continuity along the separating hyperplane. We prove that the study of controllability can be reduced to the unobservable case, and for these ones we obtain a simple explicit characterization of controllability for dimensions 2 and 3, as well as some partial criteria for higher dimensions.