Stability Analysis for Nonlinear Impulsive Control System with Uncertainty Factors

Zemin Ren; Shiping Wen; Qingyu Li; Yuming Feng; Ning Tang

doi:10.1155/2020/8818794

Stability Analysis for Nonlinear Impulsive Control System with Uncertainty Factors

Comput Intell Neurosci. 2020 Nov 21:2020:8818794. doi: 10.1155/2020/8818794. eCollection 2020.

Authors

Zemin Ren¹, Shiping Wen², Qingyu Li¹, Yuming Feng³, Ning Tang³

Affiliations

¹ School of Mathematics, Physics and Data Science, Chongqing University of Science and Technology, Chongqing 401331, China.
² Australian AI Institute, University of Technology Sydney, Ultimo, NSW 2007, Australia.
³ Key Laboratory of Intelligent Information Processing and Control, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China.

Abstract

Considering the limitation of machine and technology, we study the stability for nonlinear impulsive control system with some uncertainty factors, such as the bounded gain error and the parameter uncertainty. A new sufficient condition for this system is established based on the generalized Cauchy-Schwarz inequality in this paper. Compared with some existing results, the proposed method is more practically applicable. The effectiveness of the proposed method is shown by a numerical example.

MeSH terms

Neural Networks, Computer*
Nonlinear Dynamics*
Uncertainty