Revisited criteria for absolute stability of systems with state-dependent nonlinearities

摘要：

This paper is concerned with the problem of absolute stability of systems with sector-bounded state-dependent nonlinearities. Using a Lure function as a Lyapunov function, a linear matrix inequalities (LMI) stability condition is derived. Comparing with the results available in the literature, the proposed stability condition further reduces the conservatism by relaxing some restrictions of the Lure function, as is illustrated by a numerical example. In addition, frequency-domain interpretation of the feasibility of the LMI is deduced by using the KYP Lemma.

关键词： Absolute stability State-dependent nonlinearity Linear matrix inequality (LMI)

作者: Li Rong Liu Chao

作者单位: Department of Applied Mathematics, Shanghai Finance University, Shanghai 201209, P. R. China Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, P.

会议类型: 国际会议

会议名称: The 31st Chinese Control Conference(第三十一届中国控制会议)

会议地点: 合肥

会议语种:英文

页码: 1368-1372

在线出版日期: 2012-07-01（万方平台首次上网日期，不代表论文的发表时间）