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区间时变时滞线性系统的指数稳定性

DOI: 10.3969/j.issn.1005-3026.2014.09.003, PP. 1225-1228

Keywords: 时变时滞,指数稳定性,线性矩阵不等式,倒数凸组合,Lyapunov泛函

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Abstract:

基于Lyapunov泛函方法,研究时滞是时变的且属于一个区间的线性时滞系统的指数稳定性.以线性矩阵不等式的形式给出了一个新的指数稳定性判别准则.在估计Lyapunov泛函的导数时,利用凸组合和倒数凸组合方法得到了较小的上界,从而使得到的指数稳定性条件具有较小的保守性.另外,所得状态变量的指数上界只依赖于初始函数本身而不涉及其导数.最后,用数值算例验证了所得方法的有效性.

References

[1]  Kwon O M,Park J H,Lee S M.Exponential stability for uncertain dynamic systems with timevarying delays:an LMI optimization approach[J].Journal of Optimization Theory and Applications,2008,137(3):521/532.
[2]  Hien L V,Phat V N.Exponential stability and stabilization of a class of uncertain linear timedelay systems[J].Journal of Franklin Institute,2009,346(6):611/625.
[3]  Phat V N,Khongtham Y,Ratchagit K.LMI approach to exponential stability of linear systems with interval timevarying delays[J].Linear Algebra and Its Applications,2012,436(1):243/251.
[4]  Guo H D,Gu H,Xing J,et al.Asymptotic and exponential stability of uncertain system with interval delay[J].Applied Mathematics and Computation,2012,218(19):9997/10006.
[5]  Sun J,Liu G P,Chen J,et al.Improved delayrangedependent stability criteria for linear systems with timevarying delays[J].Automatica,2010,46(2):466/470.
[6]  Zhu X L,Wang Y.Parameterdependent switching law for linear switched systems with timevarying delay[C]//The 9th IEEE International Conference on Control and Automation.Santiage:IEEE,2011:300/305.
[7]  Xu S,Lam J,Zhong M Y.New exponential estimates for timedelay systems[J].IEEE Transactions on Automatic Control,2006,51(9):1501/1505.

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