Citation: | YU Zhao-xu, SUN Ji-tao. Decentralized Stabilization of Large-Scale Linear Interconnected Systems with Time-Varying Delays[J]. Applied Mathematics and Mechanics, 2000, 21(9): 949-953. |
[1] |
Lee T N, Radovic U L. General decentralized stabilization of large-scale linear continuous and discrete time-delay systems[J]. Int J Control,1987,46(6):2127-2140.
|
[2] |
Lee T N, Radovic U L. Decentralized stabilization of linear continuous a discrete-time system with delays in interconnections[J]. IEEE Trans Automat Contr,1988,33(8):757-761.
|
[3] |
Hu Z. Decentralized stabilization of large scale interconnected systems with delays[J]. IEEE Trans Automat Contr,1994,39(1):180-182.
|
[4] |
Thrinh H, Aldeen M A. Comment on “decentralized stabilization of large scale interconnected systems with delays”[J]. IEEE Trans Contr,1995,40(5):914-916.
|
[1] | WANG Daohang, SUN Bo, LIU Chunxia, ZHOU Ziyi, LIU Yu. Vertical Vibration Control of Nonlinear Viscoelastic Isolation Systems With Time Delay Feedback[J]. Applied Mathematics and Mechanics, 2025, 46(2): 199-207. doi: 10.21656/1000-0887.450037 |
[2] | WANG Jinling, HOU Yuxiao, LI Qiang, XIE Baoying. The l1 Filter for Discrete-Time Switched Singular Positive Systems With Time-Varying Delays[J]. Applied Mathematics and Mechanics, 2023, 44(7): 857-869. doi: 10.21656/1000-0887.430125 |
[3] | SHI Jizhong, XU Xiaohui, JIANG Yonghua, YANG Jibin>, SUN Shulei. Exponential Stability of Complex-Valued Neural Networks With Time-Varying Delays and Reaction-Diffusion Terms[J]. Applied Mathematics and Mechanics, 2021, 42(5): 500-509. doi: 10.21656/1000-0887.410245 |
[4] | TIAN Hongqiao, ZHANG Zhixin, JIANG Wei. Finite-Time Stability of Fractional-Oder Linear Differential Systems With Delays[J]. Applied Mathematics and Mechanics, 2020, 41(8): 921-930. doi: 10.21656/1000-0887.400365 |
[5] | ZHOU Jun, TONG Dongbing, CHEN Qiaoyu. Synchronization of Master-Slave Systems With Multiple Time-Varying Delays Based on the Event-Triggered Mechanism[J]. Applied Mathematics and Mechanics, 2019, 40(12): 1389-1398. doi: 10.21656/1000-0887.400152 |
[6] | XU Xiao-hui, SONG Qian-kun, ZHANG Ji-ye, SHI Ji-zhong, ZHAO Ling.. Dynamical Behavior Analysis of a Class of Complex-Valued Neural Networks With Time-Varying Delays[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1389-1398. doi: 10.21656/1000-0887.380015 |
[7] | SUN Ji-tao, WANG Qing-guo, GAO Han-qiao. Delay-Dependent Robust Stability and H∞ Analysis of Stochastic Systems With Time-Varying Delay[J]. Applied Mathematics and Mechanics, 2010, 31(2): 236-244. doi: 10.3879/j.issn.1000-0887.2010.02.013 |
[8] | TAN Shu-jun, ZHONG Wan-xie. Numerical Solutions of LQ Control for Time-Varying Systems Via Symplectic Conservative Perturbation[J]. Applied Mathematics and Mechanics, 2007, 28(3): 253-262. |
[9] | YANG Zhi-chun, XU Dao-yi. Global Exponential Stability of Hopfield Neural Networks With Variable Delays and Impulsive Effects[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1329-1334. |
[10] | ZHONG Wan-xie, WU Zhi-gang, GAO Qiang, A. Y. T. Leung, F. W. Williams. Modal Synthesis Method for Norm Computation of H∞ Decentralized Control Systems (Ⅱ)[J]. Applied Mathematics and Mechanics, 2004, 25(2): 121-127. |
[11] | ZHONG Wan-xie, WU Zhi-gang, GAO Qiang, A. Y. T. Leung, F. W. Williams. Modal Synthesis Method for Norm Computation of H∞ Decentralized Control Systems (Ⅰ)[J]. Applied Mathematics and Mechanics, 2004, 25(2): 111-120. |
[12] | JIN Chao-yong, ZHANG Xiang-wei. On Decentralized Stabilization of Linear Large Scale Systems With Symmetric Circulant Structure[J]. Applied Mathematics and Mechanics, 2004, 25(8): 787-795. |
[13] | PENG Qi-lin. Qualitative Analysis for a Class of Second Order Nonlinear System with Delay[J]. Applied Mathematics and Mechanics, 2001, 22(7): 749-752. |
[14] | CHU Tian-guang, WANG Zhao-lin. Technical Stability of Nonlinear Time-Varying Systems With Small Parameters[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1140-1146. |
[15] | Zhang Jiye, Yang Yiren, Zeng Jing. String Stability of Infinite Interconnected Systems[J]. Applied Mathematics and Mechanics, 2000, 21(7): 715-720. |
[16] | Fu Bao-lian. The Variational Principles of Coupled Systems in Photoelasticity[J]. Applied Mathematics and Mechanics, 1994, 15(1): 37-47. |
[17] | Hu Chao-yuang. The Asymptotic Stability of the Linear Discrete Large Scale Systems[J]. Applied Mathematics and Mechanics, 1993, 14(1): 89-94. |
[18] | Wu Xue-mou, Guo Ding-he. Investigation and Applications of Pansystems Recognition Theory and Pansystems-Operations Research of Large-Scale Systems(Ⅱ)[J]. Applied Mathematics and Mechanics, 1991, 12(1): 63-67. |
[19] | Shu Huang. Stability of Nonlinear Comparison Equations for Discrete Large-Scale Systems[J]. Applied Mathematics and Mechanics, 1990, 11(8): 731-737. |
[20] | Wu Xue-mou. Investigation and Applications of Pansystems Recognition Theory and Pansystems-Operations Research of Large-Scale Systems( I )[J]. Applied Mathematics and Mechanics, 1984, 5(1): 19-32. |