Discrete-time homogeneity: Robustness and approximation

被引:4
作者
Sanchez, Tonametl [1 ]
Efimov, Denis [1 ,2 ]
Polyakov, Andrey [1 ,2 ]
机构
[1] Univ Lille, INRIA, CNRS, UMR 9189 CRIStAL, F-59000 Lille, France
[2] ITMO Univ, 49 Ave Kronverkskiy, St Petersburg 197101, Russia
关键词
Nonlinear systems; Discrete-time systems; Lyapunov methods; Robustness; Homogeneous systems;
D O I
10.1016/j.automatica.2020.109275
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper we study robustness properties of discrete-time homogeneous systems. We also analyse stability and robustness properties of a more general class of nonlinear discrete-time systems that can be approximated by homogeneous ones. We apply the results to the investigation of stability properties of discretized continuous-time systems. (c) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数:9
相关论文
共 50 条
[41]   Discrete-Time Approximations of Fliess Operators [J].
Gray, W. Steven ;
Espinosa, Luis A. Duffaut ;
Ebrahimi-Fard, Kurusch .
2016 AMERICAN CONTROL CONFERENCE (ACC), 2016, :2433-2439
[42]   Discrete-time versus hybrid systems [J].
Monaco, S ;
Normand-Cyrot, D ;
Califano, C .
42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, :5203-5208
[43]   ISS-Lyapunov Functions for Discontinuous Discrete-Time Systems [J].
Gruene, Lars ;
Kellett, Christopher M. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (11) :3098-3103
[44]   Multiple models for decentralised adaptive control of discrete-time systems [J].
Makam, Rajini ;
George, Koshy .
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2024, 38 (04) :1347-1362
[45]   Robustness and convergence rate of a discrete-time learning control algorithm for a class of nonlinear systems [J].
Saab, SS .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1999, 9 (09) :559-571
[46]   Robustness of Discrete-time Iterative Learning Control for Networked Control Systems with Data Dropouts [J].
Geng, Yan ;
Ahn, Hyo-Sung ;
Ruan, Xiaoe .
2015 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL (ISIC 2015), 2015, :906-911
[47]   Robustness of Stochastic Discrete-Time Switched Linear Systems With Application to Control With Shared Resources [J].
Greco, Luca ;
Chaillet, Antoine ;
Panteley, Elena .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (12) :3168-3179
[48]   On the robustness of KL-stability for difference inclusions:: Smooth discrete-time Lyapunov functions [J].
Kellett, CM ;
Teel, AR .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2005, 44 (03) :777-800
[49]   A New Optimal Control Method for Discrete-Time Nonlinear Systems with Approximation Error [J].
Wei, Qinglai ;
Liu, Derong .
PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, :185-190
[50]   On the identification of discrete-time systems via discrete orthogonal functions [J].
Mohan, BM ;
Srinath, B .
COMPUTERS & ELECTRICAL ENGINEERING, 1997, 23 (05) :329-345