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Báo cáo hóa học: " Research Article Exponential Stability of Time-Switched Two-Subsystem Nonlinear Systems with Application to Intermittent Control"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Exponential Stability of Time-Switched Two-Subsystem Nonlinear Systems with Application to Intermittent Control | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2009 Article ID 348242 23 pages doi 10.1155 2009 348242 Research Article Exponential Stability of Time-Switched Two-Subsystem Nonlinear Systems with Application to Intermittent Control Chuandong Li1 and Tingwen Huang2 1 College of Computer Chongqing University Chongqing 400030 China 2 Science Program Texas A M University at Qatar P.O. Box 23874 Doha Qatar Correspondence should be addressed to Tingwen Huang tingwen.huang@qatar.tamu.edu Received 15 February 2009 Revised 9 July 2009 Accepted 16 September 2009 Recommended by Kok Teo This paper studies the exponential stability of a class of periodically time-switched nonlinear systems. Three cases of such systems which are composed respectively of a pair of unstable subsystems of both stable and unstable subsystems and of a pair of stable systems are considered. For the first case the proposed result shows that there exists periodically switching rule guaranteeing the exponential stability of the whole system with sufficient small switching period if there is a Hurwitz linear convex combination of two uncertain linear systems derived from two subsystems by certain linearization. For the second case we present two general switching criteria by means of multiple and single Lyapunov function respectively. We also investigate the stability issue of the third case and the switching criteria of exponential stability are proposed. The present results for the second case are further applied to the periodically intermittent control. Several numerical examples are also given to show the effectiveness of theoretical results. Copyright 2009 C. Li and T. Huang. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. Introduction In the recent years motivated by the fact that many practical systems .