State feedback linearization of nonlinear control systems on homogeneous time scales. (February 2019)

• Record Type: Journal Article
• Authors: Bartosiewicz, Zbigniew; Belikov, Juri; Kotta, Ülle; Wyrwas, Małgorzata
• Is Part Of: Nonlinear analysis. Volume 31(2019)
• Page Start: 69
• Page End: 85
• Publication Date: 2019-02
• Subjects: Nonlinear control systems -- Time scales -- Feedback linearization; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.08.002
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: The paper addresses the state feedback linearization problem for nonlinear systems, defined on homogeneous time scale. Necessary and sufficient solvability conditions are given within the algebraic framework of differential one-forms. The conditions concerning the exact dynamic state feedback linearization are equivalent to the property of differential flatness of the system. An output function which defines a right invertible system without zero-dynamics is shown to exist if and only if the basis of some space of one-forms can be transformed, via polynomial matrix operator over the field of meromorphic functions, into a system of exact one-forms. The results extend the corresponding results for the continuous-time case.