Robust Stability of Linear Systems with Interval Time-varying Delay via HPLKFs

摘要：

　　The delay-dependent stability problem for systems with time-delay varying in an interval is addressed through a new method of homogeneous polynomial forms.Based on Lyapunov–Krasovskii theory and homogeneous polynomial forms,appropriate homogeneous polynomial Lyapunov–Krasovskii functional(HPLKF)is introduced to establish some improved criteria of the stability interval.A tighter upper bound of the derivative is estimated,which has an advantage over some existing ones in the literature due to the fact that it involves extended matrix and is less conservative,which is established theoretically.Finally,two illustrative numerical examples are given to demonstrate the advantages and applicabilities of the proposed results.

关键词： robust stability interval time-varying delay Linear matrix inequality (LMI) homogeneous polynomial Lyapunov-Krasovskii functional

作者: ZHANG Huasheng PANG Guochen ZHANG Kanjian

作者单位: School of Automation,Southeast University,Nanjing 210096,P.R.China;School of Mathematical Sciences,L School of Automation,Southeast University,Nanjing 210096,P.R.China

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 5967-5972

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）