New Results of Stability Analysis for Systems with Two Additive Time-Varying Delays
This paper studies the problem of stability analysis for continuous-time systems with two additive time-varying delay components. By taking the independence and the variation of the additive delay components into consideration, a more general type of Lyapunov functionals is defined. Together with a tighter estimation of the upper bound of the cross-product terms derived from the derivative of the Lyapunov functional, a less conservative delay-dependent stability criterion is established in terms of linear matrix inequalities (LMIs). Combining with a reciprocally convex combination technique, the newly obtained stability conditions are also less complex. A numerical example is given to illustrate the effectiveness and the significant improvement of the proposed method.
Additive Time-Delay Delay-Dependent Stability Lyapunov Functional Linear Matrix Inequality (LMI)
ZHU Xunlin DU Xin
Department of Mathematics, Zhengzhou University, Zhengzhou 450001, P. R. China School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200444, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
1452-1457
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）