Bidirectional fragmentation approach on the stability analysis of sampled-data linear systems. Issue 10 (27th July 2022)

• Record Type: Journal Article
• Authors: Kwon, Wookyong; Park, JunMin; Lee, Sangmoon
• Is Part Of: International journal of systems science. Volume 53:Issue 10(2022)
• Page Start: 2033
• Page End: 2044
• Publication Date: 2022-07-27
• Subjects: Sampled-data systems -- looped functional -- Lyapunov stability; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2022.2035012
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : In this paper, a novel stability analysis method for continuous-time linear systems with aperiodic sampling is presented by using a partitioned looped-functional approach. Based on the Lyapunov function with a new looped-functional, the stability condition is derived by using a bidirectional fragmentation of a sampling interval from t k to t k + 1, which is divided into two sides forward and backward directions based on time t . For the bidirectional regions, the new looped functional is constructed by taking into account relations between states defined at the fragmented time and the sampling time. The improvement using the proposed scheme is shown through the comparisons with existing methods.