Converse Lyapunov Theorem of Input-to-State Stability for Time-delay Systems
Converse Lyapunov Theorem of Input-to-State Stability for Time-delay Systems
出处
《自动化学报》
EI
CSCD
北大核心
2010年第8期1131-1136,共6页
Acta Automatica Sinica
基金
Supported by National Natural Science Foundation of China (60872046)
the Key Discipline Development Program of Beijing Municipal Commission (XK100080537)
关键词
时滞系统
自动化系统
泛函理论
稳定性
Input-to-state stability (ISS)
converse Lyapunov theorem
time-delay system
locally Lipschitz
Lyapunov functional
参考文献18
-
1Sontag E D. Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control, 1989, 34(4): 435-443. 被引量:1
-
2Sontag E D. Comments on integral variants of ISS. Systems and Control Letters, 1998, 34(1-2): 93-100. 被引量:1
-
3Sontag E D, Wang Y. On characterizations of the input-to- state stability property. Systems and Control Letters, 1995, 24(5): 351-359. 被引量:1
-
4Sontag E D. On the input-to-state stability property. European Journal of Control, 1995, 1(1): 24-36. 被引量:1
-
5Sontag E D, Wang Y. New characterizations of input-to-state stability. IEEE Transactions on Automatic Control, 1996, 41(9): 1283--1294. 被引量:1
-
6Jiang Z P, Wang Y. Input-to-state stability for discrete-time nonlinear systems. Automatica, 2001, 37(6): 857-869. 被引量:1
-
7Yeganefar N, Pepe P, Dambrine M. Input-to-state stability of time-delay systems: a link with exponential stability. IEEE Transactions on Automatic Control, 2008, 53(6): 1526 - 1531. 被引量:1
-
8Liberzon D. Quantization, time delays, and nonlinear stabilization. IEEE Transactions on Automatic Control, 2006, 51(7): 1190-1195. 被引量:1
-
9Fridman E, Dambrine M, Yeganefar N. On input-to-state stability of systems with time-delay: a matrix inequalities approach. Automatica, 2008, 44(9): 2364-2369. 被引量:1
-
10Teel A R. Connection between Razumikhin-type theorems and the ISS nonlinear small gain theorem. IEEE Transactions on Automatic Control, 1998, 43(7): 960-964. 被引量:1
-
1周建平,胡增涛.具有时滞的Hopfield神经网络的渐近稳定性[J].安徽工业大学学报(自然科学版),2009,26(3):297-299.
-
2Xiao-Fang Hong,Yu-Zhen Wang,Hai-Tao Li.Robust H_∞ Filter Design for Time-delay Systems with Saturation[J].International Journal of Automation and computing,2013,10(4):368-374.
-
3Yamin YAN,Jie HUANG.Output regulation problem for discrete-time linear time-delay systems by output feedback control[J].Control Theory and Technology,2016,14(1):49-56. 被引量:3
-
4张小红,赖宏慧.时滞混沌系统的参数辨识与自适应同步[J].微计算机信息,2010,26(4):47-48.
-
5Weisheng CHEN Junmin LI.Adaptive output feedback control for nonlinear time-delay systems using neural network[J].控制理论与应用(英文版),2006,4(4):313-320. 被引量:9
-
6Xinchun JIA,Yibo GAO,Jingmei ZHANG,Nanning ZHENG.Delay-dependent H-infinity control for continuous time-delay systems via state feedback[J].控制理论与应用(英文版),2007,5(3):221-226.
-
7FENG Yi-Fu,ZHU Xun-Lin,ZHANG Qing-Ling.Delay-dependent Stability Criteria for Singular Time-delay Systems[J].自动化学报,2010,36(3):433-437. 被引量:9
-
8Nam PHAN T.,Phat VU N..Robust exponential stability and stabilization of linear uncertain polytopic time-delay systems[J].控制理论与应用(英文版),2008,6(2):163-170.
-
9田力,刘国彩,鞠培军.线性广义系统时滞相关渐近稳定的一个新判据[J].数学的实践与认识,2011,41(2):201-205. 被引量:1
-
10Deyuan MENG,Yingmin JIA,Junping DU,Shiying YUAN.Feedback iterative learning control for time-delay systems based on 2D analysis approach[J].控制理论与应用(英文版),2010,8(4):457-463. 被引量:3