Some Differential Inequalities on Time Scales and Their Applications to Feedback Control Systems. (28th February 2017)

• Record Type: Journal Article
• Authors: Fan, Yonghong; Yu, Yangyang; Wang, Linlin
• Other Names: Medina Rigoberto Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2017(2017)
• Publication Date: 2017-02-28
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2017/9195613
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : This paper deals with feedback control systems on time scales. Firstly, we generalize the semicycle concept to time scales and then establish some differential inequalities on time scales. Secondly, as applications of these inequalities, we study the uniform ultimate boundedness of solutions of these systems. We give a new method to investigate the permanence of ecosystem on time scales. And some known results have been generalized. Finally, an example is given to support the result.