State bounding for switched homogeneous positive nonlinear systems with exogenous input. (August 2018)

• Record Type: Journal Article
• Authors: Zhang, Na; Sun, Yuangong; Meng, Fanwei
• Is Part Of: Nonlinear analysis. Volume 29(2018)
• Page Start: 363
• Page End: 372
• Publication Date: 2018-08
• Subjects: Positive nonlinear system -- Switched system -- Homogeneous cooperative system -- State bounding -- Exogenous input; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.03.004
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper considers the state bounding problem for switched homogeneous positive nonlinear systems with bounded exogenous input. Both continuous-time switched positive nonlinear systems whose vector fields are homogeneous of degree one and cooperative, and discrete-time switched positive nonlinear systems whose vector fields are homogeneous of degree one and order preserving are discussed under average dwell time switching. By using a new method, we derive necessary and sufficient conditions for the existence of a ball where all the solutions of the system converge exponentially within. Numerical examples are also presented to illustrate the theoretical results.