Absolute Stability and Master-Slave Synchronization of Systems with State-Dependent Nonlinearities. (6th June 2013)

• Record Type: Journal Article
• Authors: Li, Rong; Liu, Bo; Liu, Chao
• Other Names: Yu Wenwu Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-06-06
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/326560
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper is concerned with the problems of absolute stability and master-slave synchronization of systems with state-dependent nonlinearities. The Kalman-Yakubovich-Popov (KYP) lemma and the Schur complement formula are applied to get novel and less conservative stability conditions. A numerical example is presented to illustrate the efficiency of the stability criteria. Furthermore, a synchronization criterion is developed based on the proposed stability results.