Quadratic stabilizability of multi-input linear systems with structural independent time-varying uncertainties

被引：4
|
作者：
Hu, SQ
Dai, QH
Jing, YW
Zhang, SY
机构：
[1] Department of Automatic Control, Northeastern University, Shenyang
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1997年 / 42卷 / 05期
基金：
中国国家自然科学基金;
关键词：
linear systems; multi-input antisymmetric stepwise configuration; quadratic stabilizability; time varying; STABILIZATION;
D O I：
10.1109/9.580880
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the problem of designing a linear-state feedback control to stabilize a class of multi-input linear dynamical systems. We first show that to ensure a stabilizable system, some entries of the system matrices must be sign-invariant. We then derive a sufficient condition under which a system can be quadratically stabilized by a linear control.
引用
收藏
页码：699 / 703
页数：5
相关论文
共 50 条
  • [21] Stability analysis of discrete-time quadratic periodically time-varying systems with input saturation
    Chen, Fu
    PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 5476 - 5481
  • [22] Strong Structural Controllability and Observability of Linear Time-Varying Systems
    Reissig, Gunther
    Hartung, Christoph
    Svaricek, Ferdinand
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (11) : 3087 - 3092
  • [23] Input-to-state stability of discrete-time, linear time-varying systems☆
    Sanjeevini, Sneha
    Lai, Brian
    Kouba, Omran
    Wang, Yuan
    Bernstein, Dennis S.
    AUTOMATICA, 2025, 177
  • [24] QUADRATIC PERFORMANCE ANALYSIS OF SWITCHED AFFINE TIME-VARYING SYSTEMS
    Li, Wenzhi
    Huang, Chi
    Zhai, Guisheng
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2018, 28 (03) : 429 - 440
  • [25] Reduction Model Method for Local Stabilization of Time-Varying Nonlinear Systems with Input Delays, Structured Nonlinearities, and Uncertainties
    Mazenc, Frederic
    Malisoff, Michael
    2014 AMERICAN CONTROL CONFERENCE (ACC), 2014, : 4169 - 4174
  • [26] Universal Construction of Control Lyapunov Functions for Multi-Input Linear Systems
    Cai Xiushan
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 233 - 236
  • [27] Truncated predictor feedback for linear systems with long time-varying input delays
    Zhou, Bin
    Lin, Zongli
    Duan, Guang-Ren
    AUTOMATICA, 2012, 48 (10) : 2387 - 2399
  • [28] Sequential Predictors for Linear Time-Varying Systems with Delays in the Vector Field and in the Input
    Malisoff, Michael
    Mazenc, Frederic
    2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 6246 - 6249
  • [29] Sliding Mode Control for Linear Systems with Time-Varying Input and State Delays
    Xia, Yuanqing
    Yang, Hongjiu
    Fu, Mengyin
    Shi, Peng
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2011, 30 (03) : 629 - 641
  • [30] Time-varying low gain feedback for linear systems with unknown input delay
    Wei, Yusheng
    Lin, Zongli
    SYSTEMS & CONTROL LETTERS, 2019, 123 : 98 - 107
12345